 | Robert Simson - 1838 - 434 páginas
...equal to GH ; AB is to CD, as EF to GH. If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle * See Note. BCD equal to the angle ECG :... | |
 | 1840 - 528 páginas
...the Moon's rotation exactly equal to the motion in its orbit. WEDNESDAY. Jan. 8 ...... 9 to llj. 1. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides. 2. Every solid angle is contained by plane angles which are together less than four right angles. 3.... | |
 | 1840 - 468 páginas
...at the heginning of the year. SENATE-HO.USE EXAMINATION. WEDNESDAY. Jan. 8, 1840 ____ 9 to 1IJ. 1. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides. 2. Every solid angle is contained hy plane angles which tire together less than four right angles.... | |
 | Euclides - 1841 - 378 páginas
...therefore* AB is to CD, as EF to GH. If, therefore, four straight lines, SEc. QED PROP. XXIII. THEOR. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG: the parallelogram... | |
 | John Playfair - 1842 - 332 páginas
...to CD, so is EF to PR, and because PR is equal to GH, AB is to CD, as EF to GH. PROP. XXIII. THEOR. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms having the angle BCD equal to the angle ECG ; the ratio of... | |
 | Euclides - 1842 - 316 páginas
...c, D be four straight lines, and if л : в : : c : D, then A* : B* : : c* : D*. PROP. XXIII. THEOR. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratio of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle... | |
 | Euclides - 1845 - 546 páginas
...to CD, as EF to GH. (v. 7-) If, therefore, four straight lines, &c. QED PROPOSITION XXIII. THEOREM. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD • equal to the angle ECG. Then the... | |
 | Euclid - 1845 - 218 páginas
...; AB is to CD, as EF to GH. If therefore four straight lines, &c. QED PROPOSITION XXIII. THEOB. — Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. BOOK VI. PROP. XXIV. • 14. 1. t 12. 6. t 12. 6. A. Def. 5. V 11.5. Let BC, CG be placed in a straight... | |
 | Euclides, James Thomson - 1845 - 382 páginas
...&c.* Cor. Triangles which have one angle of the one equal, or supplemental, to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides containing those angles. For, if BD and EG be joined, the triangles BCD, ECG bemg (I. 34)... | |
 | Euclid, John Playfair - 1846 - 334 páginas
...to CD, so is EF to PR, and because PR is equal to GH, AB is to CD, as EF to GH. PROP. XXIII. THEOR. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms having the angle BCD equal to the angle ECG ; the ratio of... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
