Timaeus

Plato

Timaeus

Plato (428–347 BC)

Plato's Timaeus in the Greek text edited by John Burnet, with R. G. Bury's English translation.


Section 17

Section 18

Section 19

Section 20

Section 21

Section 22

Section 23

Section 24

Section 25

Section 26

Section 27

Section 28

Section 29

Section 30

Section 31

Section 32

Section 33

Section 34

Section 35

Section 36

Section 37

Section 38

Section 39

Section 40

Section 41

Section 42

Section 43

Section 44

Section 45

Section 46

Section 47

Section 48

Section 49

Section 50

Section 51

Section 52

Section 53

Section 54

Section 55

And when four equilateral triangles are combined so that three plane angles meet in a point, they form one solid angle, which comes next in order to the most obtuse of the plane angles. And when four such angles are produced, the first solid figure is constructed, which divides the whole of the circumscribed sphere into equal and similar parts. And the second solid is formed from the same triangles, but constructed out of eight equilateral triangles, which produce one solid angle out of four planes; and when six such solid angles have been formed, the second body in turn is completed. And the third solid is composed of twice sixty of the elemental triangles conjoined, and of twelve solid angles, each contained by five plane equilateral triangles, and it has, by its production, twenty equilateral triangular bases. Now the first of the elemental triangles ceased acting when it had generated these three solids, the substance of the fourth Kind being generated by the isosceles triangle. Four of these combined, with their right angles drawn together to the center, produced one equilateral quadrangle; and six such quadrangles, when joined together, formed eight solid angles, each composed of three plane right angles; and the shape of the body thus constructed was cubic, having six plane equilateral quadrangular bases. And seeing that there still remained one other compound figure, the fifth, God used it up for the Universe in his decoration thereof. Now in reasoning about all these things, a man might question whether he ought to affirm the existence of an infinite diversity of Universes or a limited number; and if he questioned aright he would conclude that the doctrine of an infinite diversity is that of a man unversed in matters wherein he ought to be versed; but the question whether they ought really to be described as one Universe or five is one which might with more reason give us pause. Now our view declares the Universe to be essentially one, in accordance with the probable account; but another man, considering other facts, will hold a different opinion. Him, however, we must let pass. But as for the Kinds which have now been generated by our argument, let us assign them severally to fire and earth and water and air. To earth let us give the cubic form; for of the four Kinds earth is the most immobile and the most plastic body, and of necessity the body which has the most stable bases must be pre-eminently of this character. Now of the triangles we originally assumed, the basis formed by equal sides is of its nature more stable than that formed by unequal sides; and of the plane surfaces which are compounded of these several triangles, the equilateral quadrangle, both in its parts and as a whole, has a more stable base than the equilateral triangle.

Section 56

Section 57

Section 58

Section 59

Section 60

Section 61

Section 62

Section 63

Section 64

Section 65

Section 66

Section 67

Section 68

Section 69

Section 70

Section 71

Section 72

Section 73

Section 74

Section 75

Section 76

Section 77

Section 78

Section 79

Section 80

Section 81

Section 82

Section 83

Section 84

Section 85

Section 86

Section 87

Section 88

Section 89

Section 90

Section 91

Section 92

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