26 In Book X. Bil.s edition contains 9 propositions more than bhe Rekhagonita. These are proposition8 7, 8, 18, 16244112, 118, 114, and 116. They are enunciated as under : Prop । Magnitudes incommensurable have note that proportion, the one to the other, that number bath to number. Prop. 8 Converse of the above. Prop. 18
- If there be two magnitudes commensurable, and if one of
bhem be incommensurable to any other magnitude, the other also shall be incommensurable unto the Bame. Prop. 16 If two magnitudes incommensurable be composed, the whole magnitude also shall be incommensurable unto either of the bwo parts components; and if the whole be incommensurable to one of the parts components, those first magnitudes also shall be incommensurable Prop. 24 ‘A rectangle parallelogram, comprehended under medial lines commensurable in length, is a medial rectangle parallelogram. Prop. 112 The square of a rational line applied unto a binomial line maketh the breadth or other side a residual line, whose names are commensurable to the names of the binomial line and in the self same proportion; and moreover that residual line is in the self same order of residual lines that the binomial line is of binomial lines. Prop. 118 The square of a rational line applied unto a residual maketh the breadth or other side a binomial line, whose names are commensurable to the names of the residual lineand in the self same proportion; and moreover that binomial line is in the self same order of binomial lines that the residual line is of residual ines.
