TRINITY

trin'-i-ti

1. The Term "Trinity"

2. Purely a Revealed Doctrine

3. No Rational Proof of It

4. Finds Support in Reason

5. Not Clearly Revealed in the Old Testament

6. Prepared for in the Old Testament

7. Presupposed Rather Than Inculcated in the New Testament

8. Revealed in Manifestation of Son and Spirit

9. Implied in the Whole New Testament

10. Conditions the Whole Teaching of Jesus

11. Father and Son in Johannine Discourses

12. Spirit in Johannine Discourses

13. The Baptismal Formula

14. Genuineness of Baptismal Formula

15. Paul's Trinitarianism

16. Conjunction of the Three in Paul

17. Trinitarianism of Other New Testament Writers

18. Variations in Nomenclature

19. Implications of "Son" and "Spirit"

20. The Question of Subordination

21. Witness of the Christian Consciousness

22. Formulation of the Doctrine

LITERATURE

1. The Term "Trinity":

The term "Trinity" is not a Biblical term, and we are not using Biblical language when we define what is expressed by it as the doctrine that there is one only and true God, but in the unity of the Godhead there are three coeternal and coequal Persons, the same in substance but distinct in subsistence. A doctrine so defined can be spoken of as a Biblical doctrine only on the principle that the sense of Scripture is Scripture. And the definition of a Biblical doctrine in such un-Biblical language can be justified only on the principle that it is better to preserve the truth of Scripture than the words of Scripture. The doctrine of the Trinity lies in Scripture in solution; when it is crystallized from its solvent it does not cease to be Scriptural, but only comes into clearer view. Or, to speak without figure, the doctrine of the Trinity is given to us in Scripture, not in formulated definition, but in fragmentary allusions; when we assemble the disjecta membra into their organic unity, we are not passing from Scripture, but entering more thoroughly into the meaning of Scripture. We may state the doctrine in technical terms, supplied by philosophical reflection; but the doctrine stated is a genuinely Scriptural doctrine.

2. Purely a Revealed Doctrine:

In point of fact, the doctrine of the Trinity is purely a revealed doctrine. That is to say, it embodies a truth which has never been discovered, and is indiscoverable, by natural reason. With all his searching, man has not been able to find out for himself the deepest things of God. Accordingly, ethnic thought has never attained a Trinitarian conception of God, nor does any ethnic religion present in its representations of the divine being any analogy to the doctrine of the Trinity.

Triads of divinities, no doubt, occur in nearly all polytheistic religions, formed under very various influences. Sometimes, as in the Egyptian triad of Osiris. Isis and Horus, it is the analogy of the human family with its father, mother and son which lies at their basis. Sometimes they are the effect of mere syncretism, three deities worshipped in different localities being brought together in the common worship of all. Sometimes, as in the Hindu triad of Brahma, Vishnu and Shiva, they represent the cyclic movement of a pantheistic evolution, and symbolize the three stages of Being, Becoming and Dissolution. Sometimes they are the result apparently of nothing more than an odd human tendency to think in threes, which has given the number three widespread standing as a sacred number (so H. Usener). It is no more than was to be anticipated, that one or another of these triads should now and again be pointed to as the replica (or even the original) of the Christian doctrine of the Trinity. Gladstone found the Trinity in the Homeric mythology, the trident of Poseidon being its symbol. Hegel very naturally found it in the Hindu Trimurti, which indeed is very like his pantheizing notion of what the Trinity is. Others have perceived it in the Buddhist Triratna (Soderblom); or (despite their crass dualism) in some speculations of Parseeism; or, more frequently, in the notional triad of Platonism (e.g. Knapp); while Jules Martin is quite sure that it is present in Philo's neo-Stoical doctrine of the "powers," especially when applied to the explanation of Abraham's three visitors. Of late years, eyes have been turned rather to Babylonia; and H. Zimmern finds a possible forerunner of the Trinity in a Father, Son, and Intercessor, which he discovers in its mythology. It should be needless to say that none of these triads has the slightest resemblance to the Christian doctrine of the Trinity. The Christian doctrine of the Trinity embodies much more than the notion of "threeness," and beyond their "threeness" these triads have nothing in common with it.

3. No Rational Proof of It:

As the doctrine of the Trinity is indiscoverable by reason, so it is incapable of proof from reason. There are no analogies to it in Nature, not even in the spiritual nature of man, who is made in the image of God. In His trinitarian mode of being, God is unique; and, as there is nothing in the universe like Him in this respect, so there is nothing which can help us to comprehend Him. Many attempts have, nevertheless, been made to construct a rational proof of the Trinity of the God head. Among these there are two which are particularly attractive, and have therefore been put forward again and again by speculative thinkers through all the Christian ages. These are derived from the implications, in the one case, of self-consciousness; in the other, of love. Both self-consciousness and love, it is said, demand for their very existence an object over against which the self stands as subject. If we conceive of God as self-conscious and loving, therefore, we cannot help conceiving of Him as embracing in His unity some form of plurality. From this general position both arguments have been elaborated, however, by various thinkers in very varied forms.

The former of them, for example, is developed by a great 17th-century theologian-Bartholomew Keckermann (1614)-as follows: God is self-conscious thought; and God's thought must have a perfect object, existing eternally before it; this object to be perfect must be itself God; and as God is one, this object which is God must be the God that is one. It is essentially the same argument which is popularized in a famous paragraph (section 73) of Lessing's The Education of the Human Race. Must not God have an absolutely perfect representation of Himself-that is, a representation in which everything that is in Him is found? And would everything that is in God be found in this representation if His necessary reality were not found in it? If everything, everything without exception, that is in God is to be found in this representation, it cannot, therefore, remain a mere empty image, but must be an actual duplication of God. It is obvious that arguments like this prove too much. If God's representation of Himself, to be perfect, must possess the same kind of reality that He Himself possesses, it does not seem easy to deny that His representations of everything else must possess objective reality. And this would be as much as to say that the eternal objective coexistence of all that God can conceive is given in the very idea of God; and that is open pantheism. The logical flaw lies in including in the perfection of a representation qualities which are not proper to representations, however perfect. A perfect representation must, of course, have all the reality proper to a representation; but objective reality is so little proper to a representation that a representation acquiring it would cease to be a representation. This fatal flaw is not transcended, but only covered up, when the argument is compressed, as it is in most of its modern presentations, in effect to the mere assertion that the condition of self-consciousness is a real distinction between the thinking subject and the thought object, which, in God's case, would be between the subject ego and the object ego. Why, however, we should deny to God the power of self-contemplation enjoyed by every finite spirit, save at the cost of the distinct hypostatizing of the contemplant and the contemplated self, it is hard to understand. Nor is it always clear that what we get is a distinct hypostatization rather than a distinct substantializing of the contemplant and contemplated ego: not two persons in the Godhead so much as two Gods. The discovery of the third hypostasis-the Holy Spirit-remains meanwhile, to all these attempts rationally to construct a Trinity in the Divine Being, a standing puzzle which finds only a very artificial solution.

The case is much the same with the argument derived from the nature of love. Our sympathies go out to that old Valentinian writer-possibly it was Valentinus himself-who reasoned-perhaps he was the first so to reason-that "God is all love," "but love is not love unless there be an object of love." And they go out more richly still to Augustine, when, seeking a basis, not for a theory of emanations, but for the doctrine of the Trinity, he analyzes this love which God is into the triple implication of "the lover," "the loved" and "the love itself," and sees in this trinary of love an analogue of the Triune God. It requires, however, only that the argument thus broadly suggested should be developed into its details for its artificiality to become apparent. Richard of Victor works it out as follows: It belongs to the nature of amor that it should turn to another as caritas. This other, in God's case, cannot be the world; since such love of the world would be inordinate. It can only be a person; and a person who is God's equal in eternity, power and wisdom. Since, however, there cannot be two divine substances, these two divine persons must form one and the same substance. The best love cannot, however, confine itself to these two persons; it must become condilectio by the desire that a third should be equally loved as they love one another. Thus love, when perfectly conceived, leads necessarily to the Trinity, and since God is all He can be, this Trinity must be real. Modern writers (Sartorius, Schoberlein, J. Muller, Liebner, most lately R. H. Grutzmacher) do not seem to have essentially improved upon such a statement as this. And after all is said, it does not appear clear that God's own all-perfect Being could not supply a satisfying object of His all-perfect love. To say that in its very nature love is self-communicative, and therefore implies an object other than self, seems an abuse of figurative language.

Perhaps the ontological proof of the Trinity is nowhere more attractively put than by Jonathan Edwards. The peculiarity of his presentation of it lies in an attempt to add plausibility to it by a doctrine of the nature of spiritual ideas or ideas of spiritual things, such as thought, love, fear, in general. Ideas of such things, he urges, are just repetitions of them, so that he who has an idea of any act of love, fear, anger or any other act or motion of the mind, simply so far repeats the motion in question; and if the idea be perfect and complete, the original motion of the mind is absolutely reduplicated. Edwards presses this so far that he is ready to contend that if a man could have an absolutely perfect idea of all that was in his mind at any past moment, he would really, to all intents and purposes, be over again what he was at that moment. And if he could perfectly contemplate all that is in his mind at any given moment, as it is and at the same time that it is there in its first and direct existence, he would really be two at that time, he would be twice at once: "The idea he has of himself would be himself again." This now is the case with the Divine Being. "God's idea of Himself is absolutely perfect, and therefore is an express and perfect image of Him, exactly like Him in every respect..... But that which is the express, perfect image of God and in every respect like HIm is God, to all intents and purposes, because there is nothing wanting: there is nothing in the Deity that renders it the Deity but what has something exactly answering to it in this image, which will therefore also render that the Deity." The Second Person of the Trinity being thus attained, the argument advances. "The Godhead being thus begotten of God's loving (having?) an idea of Himself and showing forth in a distinct Subsistence or Person in that idea, there proceeds a most pure act, and an infinitely holy and sacred energy arises between the Father and the Son in mutually loving and delighting in each other..... The Deity becomes all act, the divine essence itself flows out and is as it were breathed forth in love and joy. So that the Godhead therein stands forth in yet another manner of Subsistence, and there proceeds the Third Person in the Trinity, the Holy Spirit, namely, the Deity in act, for there is no other act but the act of the will." The inconclusiveness of the reasoning lies on the surface. The mind does not consist in its states, and the repetition of its states would not, therefore, duplicate or triplicate it. If it did, we should have a plurality of Beings, not of Persons in one Being. Neither God's perfect idea of Himself nor His perfect love of Himself reproduces Himself. He differs from His idea and His love of Himself precisely by that which distinguishes His Being from His acts. When it is said, then, that there is nothing in the Deity which renders it the Deity but what has something answering to it in its image of itself, it is enough to respond-except the Deity itself. What is wanting to the image to make it a second Deity is just objective reality.

4. Finds Support in Reason:

Inconclusive as all such reasoning is, however, considered as rational demonstration of the reality of the Trinity, it is very far from possessing no value. It carries home to us in a very suggestive way the superiority of the Trinitarian conception of God to the conception of Him as an abstract monad, and thus brings important rational support to the doctrine of the Trinity, when once that doctrine has been given us by revelation. If it is not quite possible to say that we cannot conceive of God as eternal self-consciousness and eternal love, without conceiving Him as a Trinity, it does seem quite necessary to say that when we conceive Him as a Trinity, new fullness, richness, force are given to our conception of Him as a self-conscious, loving Being, and therefore we conceive Him more adequately than as a monad, and no one who has ever once conceived Him as a Trinity can ever again satisfy himself with a monadistic conception of God. Reason thus not only performs the important negative service to faith in the Trinity, of showing the self-consistency of the doctrine and its consistency with other known truth, but brings this positive rational support to it of discovering in it the only adequate conception of God as self-conscious spirit and living love. Difficult, therefore, as the idea of the Trinity in itself is, it does not come to us as an added burden upon our intelligence; it brings us rather the solution of the deepest and most persistent difficulties in our conception of God as infinite moral Being, and illuminates, enriches and elevates all our thought of God. It has accordingly become a commonplace to say that Christian theism is the only stable theism. That is as much as to say that theism requires the enriching conception of the Trinity to give it a permanent hold upon the human mind-the mind finds it difficult to rest in the idea of an abstract unity for its God; and that the human heart cries out for the living God in whose Being there is that fullness of life for which the conception of the Trinity alone provides. 5. Not Clearly Revealed in the Old Testament:

So strongly is it felt in wide circles that a Trinitarian conception is essential to a worthy idea of God, that there is abroad a deep-seated unwillingness to allow that God could ever have made Himself known otherwise than as a Trinity. From this point of view it is inconceivable that the Old Testament revelation should know nothing of the Trinity. Accordingly, I. A. Dorner, for example, reasons thus: "If, however-and this is the faith of universal Christendom-a living idea of God must be thought in some way after a Trinitarian fashion, it must be antecedently probable that traces of the Trinity cannot be lacking in the Old Testament, since its idea of God is a living or historical one." Whether there really exist traces of the idea of the Trinity in the Old Testament, however, is a nice question. Certainly we cannot speak broadly of the revelation of the doctrine of the Trinity in the Old Testament. It is a plain matter of fact that none who have depended on the revelation embodied in the Old Testament alone have ever attained to the doctrine of the Trinity. It is another question, however, whether there may not exist in the pages of the Old Testament turns of expression or records of occurrences in which one already acquainted with the doctrine of the Trinity may fairly see indications of an underlying implication of it. The older writers discovered intimations of the Trinity in such phenomena as the plural form of the divine name 'Elohim, the occasional employment with reference to God of plural pronouns ("Let us make man in our image," Genesis 1:26; Genesis 3:22; Genesis 11:7 Isaiah 6:8), or of plural verbs (Genesis 20:13; Genesis 35:7), certain repetitions of the name of God which seem to distinguish between God and God (Genesis 19:27 Psalm 45:6, 7; Psalm 110:1 Hosea 1:7), threefold liturgical formulas (Deuteronomy 16:4 Numbers 6:24, 26 Isaiah 6:3), a certain tendency to hypostatize the conception of Wisdom (Proverbs 8), and especially the remarkable phenomena connected with the appearances of the Angel of Yahweh (Genesis 16:2-13; Genesis 22:11, 16; 31:11, 13; 48:15, 16 Exodus 3:2, 4, 5 Judges 13:20-22). The tendency of more recent authors is to appeal, not so much to specific texts of the Old Testament, as to the very "organism of revelation" in the Old Testament, in which there is perceived an underlying suggestion "that all things owe their existence and persistence to a threefold cause," both with reference to the first creation, and, more plainly, with reference to the second creation. Passages like Psalm 33:6 Isaiah 61:1; Isaiah 63:9-12 Haggai 2:5, 6, in which God and His Word and His Spirit are brought together, co-causes of effects, are adduced. A tendency is pointed out to hypostatize the Word of God on the one hand (e.g. Genesis 1:3 Psalm 33:6; Psalm 107:20; 119:87; Psalm 147:15-18 Isaiah 55:11); and, especially in Ezekiel and the later Prophets, the Spirit of God, on the other (e.g. Genesis 1:2 Isaiah 48:16; Isaiah 63:10 Ezekiel 2:2; Ezekiel 8:3 Zechariah 7:12). Suggestions-in Isaiah for instance (7:14; 9:6)-of the Deity of the Messiah are appealed to. And if the occasional occurrence of plural verbs and pronouns referring to God, and the plural form of the name 'Elohim, are not insisted upon as in themselves evidence of a multiplicity in the Godhead, yet a certain weight is lent them as witnesses that "the God of revelation is no abstract unity, but the living, true God, who in the fullness of His life embraces the highest variety" (Bavinck). The upshot of it all is that it is very generally felt that, somehow, in the Old Testament development of the idea of God there is a suggestion that the Deity is not a simple monad, and that thus a preparation is made for the revelation of the Trinity yet to come. It would seem clear that we must recognize in the Old Testament doctrine of the relation of God to His revelation by the creative Word and the Spirit, at least the germ of the distinctions in the Godhead afterward fully made known in the Christian revelation. And we can scarcely stop there. After all is said, in the light of the later revelation, the Trinitarian interpretation remains the most natural one of the phenomena which the older writers frankly interpreted as intimations of the Trinity; especially of those connected with the descriptions of tile Angel of Yahweh, no doubt, but also even of such a form of expression as meets us in the "Let us make man in our image" of Genesis 1:26 -for surely 1:27: "And God created man in his own image," does not encourage us to take the preceding verse as announcing that man was to be created in the image of the angels. This is not an illegitimate reading of New Testament ideas back into the text John 17:3 1 Corinthians 8:4 1 Timothy 2:5). They do not, then, place two new gods by the side of Yahweh, as alike with Him to be served and worshipped; they conceive Yahweh as Himself at once Father, Son and Spirit. In presenting this one Yahweh as Father, Son and Spirit, they do not even betray any lurking feeling that they are making innovations. Without apparent misgiving they take over Old Testament passages and apply them to Father, Son and Spirit indifferently. Obviously they understand themselves, and wish to be understood, as setting forth in the Father, Son and Spirit just the one God that the God of the Old Testament revelation is; and they are as far as possible from recognizing any breach between themselves and the Fathers in presenting their enlarged conception of the Divine Being. This may not amount to saying that they saw the doctrine of the Trinity everywhere taught in the Old Testament. It certainly amounts to saying that they saw the Triune God whom they worshipped in the God of the Old Testament revelation, and felt no incongruity in speaking of their Triune God in the terms of the Old Testament revelation. The God of the Old Testament was their God, and their God was a Trinity, and their sense of the identity of the two was so complete that no question as to it was raised in their minds.

7. Presupposed Rather Than Inculcated in the New Testament:

The simplicity and assurance with which the New Testament writers speak of God as a Trinity have, however, a further implication. If they betray no sense of novelty in so speaking of Him, this is undoubtedly in part because it was no longer a novelty so to speak of Him. It is clear, in other words, that, as we read the New Testament, we are not witnessing the birth of a new conception of God. What we meet with in its pages is a firmly established conception of God underlying and giving its tone to the whole fabric. It is not in a text here and there that the New Testament bears its testimony to the doctrine of the Trinity. The whole book is Trinitarian to the core; all its teaching is built on the assumption of the Trinity; and its allusions to the Trinity are frequent, cursory, easy and confident. It is with a view to the cursoriness of the allusions to it in the New Testament that it has been remarked that "the doctrine of the Trinity is not so much heard as overheard in the statements of Scripture." It would be more exact to say that it is not so much inculcated as presupposed. The doctrine of the Trinity does not appear in the New Testament in the making, but as already made. It takes its place in its pages, as Gunkel phrases it, with an air almost of complaint, already "in full completeness" (vollig fertig), leaving no trace of its growth. "There is nothing more wonderful in the history of human thought," says Sanday, with his eye on the appearance of the doctrine of the Trinity in the New Testament, "than the silent and imperceptible way in which this doctrine, to us so difficult, took its place without struggle-and without controversy-among accepted Christian truths." The explanation of this remarkable phenomenon is, however, simple. Our New Testament is not a record of the development of the doctrine or of its assimilation. It everywhere presupposes the doctrine as the fixed possession of the Christian community; and the process by which it became the possession of the Christian community lies behind the New Testament.

8. Revealed in Manifestation of Son and Spirit:

We cannot speak of the doctrine of the Trinity, therefore, if we study exactness of speech, as revealed in the New Testament, any more than we can speak of it as revealed in the Old Testament. The Old Testament was written before its revelation; the New Testament after it. The revelation itself was made not in word but in deed. It was made in the incaration of God the Son, and the outpouring of God the Holy Spirit. The relation of the two Testaments to this revelation is in the one case that of preparation for it, and in the other that of product of it. The revelation itself is embodied just in Christ and the Holy Spirit. This is as much as to say that the revelation of the Trinity was incidental to, and the inevitable effect of, the accomplishment of redemption. It was in the coming of the Son of God in the likeness of sinful flesh to offer Himself a sacrifice for sin; and in the coming of the Holy Spirit to convict the world of sin, of righteousness and of judgment, that the Trinity of Persons in the Unity of the Godhead was once for all revealed to men. Those who knew God the Father, who loved them and gave His own Son to die for them; and the Lord Jesus Christ, who loved them and delivered Himself up an offering and sacrifice for them; and the Spirit of Grace, who loved them and dwelt within them a power not themselves, making for righteousness, knew the Triune God and could not think or speak of God otherwise than as triune. The doctrine of the Trinity, in other words, is simply the modification wrought in the conception of the one only God by His complete revelation of Himself in the redemptive process. It necessarily waited, therefore, upon the completion of the redemptive process for its revelation, and its revelation, as necessarily, lay complete in the redemptive process.

From this central fact we may understand more fully several circumstances connected with the revelation of the Trinity to which allusion has been made. We may from it understand, for example, why the Trinity was not revealed in the Old Testament. It may carry us a little way to remark, as it has been customary to remark since the time of Gregory of Nazianzus, that it was the task of the Old Testament revelation to fix firmly in the minds and hearts of the people of God the great fundamental truth of the unity of the Godhead; and it would have been dangerous to speak to them of the plurality within this unity until this task had been fully accomplished. The real reason for the delay in the revelation of the Trinity, however, is grounded in the secular development of the redemptive purpose of God: the times were ripe for the revelation of the Trinity in the unity of the Godhead until the fullness of the time had come for God to send forth His Son unto redemption, and His Spirit unto sanctification. The revelation in word must needs wait upon the revelation in fact, to which it brings its necessary explanation, no doubt, but from which also it derives its own entire significance and value. The revelation of a Trinity in the divine unity as a mere abstract truth without relation to manifested fact, and without significance to the development of the kingdom of God, would have been foreign to the whole method of the divine procedure as it lies exposed to us in the pages of Scripture. Here the working-out of the divine purpose supplies the fundamental principle to which all else, even the progressive stages of revelation itself, is subsidiary; and advances in revelation are ever closely connected with the advancing accomplishment of the redemptive purpose. We may understand also, however, from the same central fact, why it is that the doctrine of the Trinity lies in the New Testament rather in the form of allusions than in express teaching, why it is rather everywhere presupposed, coming only here and there into incidental expression, than formally inculcated. It is because the revelation, having been made in the actual occurrences of redemption, was already the common property of all Christian hearts. In speaking and writing to one another, Christians, therefore, rather spoke out of their common Trinitarian consciousness, and reminded one another of their common fund of belief, than instructed one another in what was already the common property of all. We are to look for, and we shall find, in the New Testament allusions to the Trinity, rather evidence of how the Trinity, believed in by all, was conceived by the authoritative teachers of the church, than formal attempts, on their part, by authoritative declarations, to bring the church into the understanding that God is a Trinity.

9. Implied in the Whole New Testament:

The fundamental proof that God is a Trinity is supplied thus by the fundamental revelation of the Trinity in fact: that is to say, in the incarnation of God the Son and the outpouring of God the Holy Spirit. In a word, Jesus Christ and the Holy Spirit are the fundamental proof of the doctrine of the Trinity. This is as much as to say that all the evidence of whatever kind, and from whatever source derived, that Jesus Christ is God manifested in the flesh, and that the Holy Spirit is a Divine Person, is just so much evidence for the doctrine of the Trinity; and that when we go to the New Testament for evidence of the Trinity we are to seek it, not merely in the scattered allusions to the Trinity as such, numerous and instructive as they are, but primarily in the whole mass of evidence which the New Testament provides of the Deity of Christ and the divine personality of the Holy Spirit. When we have said this, we have said in effect that the whole mass of the New Testament is evidence for the Trinity. For the New Testament is saturated with evidence of the Deity of Christ and the divine personality of the Holy Spirit, Precisely what the New Testament is, is the documentation of the religion of the incarnate Son and of the outpoured Spirit, that is to say, of the religion of the Trinity, and what we mean by the doctrine of the Trinity is nothing but the formulation in exact language of the conception of God presupposed in the religion of the incarnate Son and outpoured Spirit.

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A word not found in Scripture, but used to express the doctrine of the unity of God as subsisting in three distinct Persons. This word is derived from the Gr. trias, first used by Theophilus (A.D. 168-183), or from the Lat. trinitas, first used by Tertullian (A.D. 220), to express this doctrine. The propositions involved in the doctrine are these: 1. That God is one, and that there is but one God (Deuteronomy 6:4; 1 Kings 8:60; Isaiah 44:6; Mark 12:29, 32; John 10:30). 2. That the Father is a distinct divine Person (hypostasis, subsistentia, persona, suppositum intellectuale), distinct from the Son and the Holy Spirit. 3. That Jesus Christ was truly God, and yet was a Person distinct from the Father and the Holy Spirit. 4. That the Holy Spirit is also a distinct divine Person.

1. (n.) The union of three persons (the Father, the Son, and the Holy Ghost) in one Godhead, so that all the three are one God as to substance, but three persons as to individuality.

2. (n.) Any union of three in one; three units treated as one; a triad, as the Hindu trinity, or Trimurti.

3. (n.) Any symbol of the Trinity employed in Christian art, especially the triangle.