पृष्ठम्:Rekha Ganita.djvu/४५

28 In Book XI. Bi.'s edition has one proposition, 88th, which is wanting in the Rekhagspita. It is enunciated as below:-- If a plane Buperficies be erected perpendicularly to a plane superficies, and from a point taken in one of the plane super- ficies be drawn to the other plane superficies a perpendicular linethat perpendicular line shall fall upon the common section of those plane superficies' Propositions 32nd and 35th in the Rekhaanita appear as 2nd cases of propositions Blet and 34th respectively. Thus the Sanskrit text has in all 41 propositions, while the English text has 40 propositions The following shew3 the difference in the order of proposi tons: Rekhgapita. Bil.'s edition. B2 2nd case of 31 3B 82 84 34 85 2nd case of 84 86 33 B 35 38 86 39 3 39 41 40 In Book XII, 6th, 18th, and 14th propositions in Bil.s edi. tion do not find a place in the Sanskrit text. They are enun. ciated as under: - 6th Prop. Pyramids consisting under one and the self-same altitude and having poligonon figures to their bases are in that propor tion, the one to the other, that their bases are' 186h Prop. If a cylinder be divided by a plane superficies being paral lel to the two opposite plane superficies, then as the one cylinder is to bhe other cylinder. so is the axe of the one to the axe of the other.' 14th Prop Cones and cylinders consisting upon equal bases are in pro portion the one to the other as their altitudes. Thus while the Sanskrit text has 15, the English text has 18 propositions in all.