| 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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