11 has a third part, if 4 meusure any number, that number has a fourth part and so fourth. Prop. XXXVIII. Bil's enunciation of it is:-- If a number have any part, the number whereof the part taketh its denomination shall measure it.' BOOK VIII. Prop. XVI. If between two like superficial numbers there is a mean proportional number, then the ratio of the products shall be equal to the square of the ratio of their sides of like proportion. -Froducts of two numbers which are their sides (भुजी) are called anaw and when the sides are in the same ratio, the products are said to be like or similar. 6 and 24 have 2 and 3 and 4 and 6 respectively as their sides and 2 and 3 are in the same ratio as are 4 and 6. 6 and 24 are their like superficial or plain numbers. Prop. XVII. Solid numbers are those which are products of three numbers. Like solid numbers, 30 and 240, havc 2, 3 and 5, and 4, 6 and 10 as their sides and these sides are in the same ratio. Therefore 30 and 240 are similar solid numbers. BOOK IX. Prop. XII. Page 49 in L. 3 seems to be improper. It should be जातम्. Prop. XXVII. Page 55 L 15. It should be : instead of अजम् Prop. XXXVII. If in a certain series of numbers which are in the same ratio a number equal to the second be taken from the first and also from the last, then the ratio of the first romainder to the first
