 | English literature - 1840 - 528 pages
...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 ratio 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... | |
 | Education - 1840 - 468 pages
...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 ratio 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... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG:... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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 ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms having the angle BCD equal to the angle ECG ;... | |
 | Euclides - 1842 - 316 pages
...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, James Thomson - Geometry - 1845 - 382 pages
...and that PR is equal to GH; therefore AB : CD : : EF : GH ; wherefore, &c. PROP. XXIII. THEOR. — Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angles G BCD, ECG equal: AC has to... | |
 | Euclid - Geometry - 1845 - 218 pages
...; 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 ratio 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... | |
 | Euclides - 1845 - 546 pages
...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 ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD • equal to the angle... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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 ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms having the angle BCD equal to the angle ECG ;... | |
 | Euclides - 1848 - 52 pages
...straight lines be proportionals, those straight lines shall be proportionals. PROP. XXIII. THEOREM. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. PROP. XXIV. THEOREM. The parallelograms about the diameter of any parallelogram, are similar... | |
| |
Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
