| Euclid, Robert Simson - 1838 - 416 sider
...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...CF be equiangular parallelograms, having the angle** * See Note. BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF,... | |
| 1840
...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.... | |
| 1840
...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.... | |
| Euclides - 1841 - 351 sider
...having the angle BCD equal to the angle ECG: the parallelogram AC shall have to the parallelogram CF, **the ratio which is compounded of the ratios of their sides. Let** BC, CG be placed in a straight line; therefore DC and CE are also in a straight line;* and complete... | |
| Euclides - 1842
...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... | |
| John Playfair - 1842 - 317 sider
...equal to the angle ECG ; the ratio of the parallelogram AC to the parallelogram CF, is the same with **the ratio which is compounded of the ratios of their sides. Let** BC, CG be placed in a straight line ; therefore DC and CE are also in a straight line (14. 1.); complete... | |
| Euclides - 1845
...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...parallelograms, having the angle BCD • equal to the angle ECG.** Then the ratio of the parallelogram AC to the parallelogram CF, shall be the same with the ratio which... | |
| Euclid - 1845 - 199 sider
...; 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... | |
| Euclid, James Thomson - 1845 - 352 sider
...&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 - 317 sider
...which is compounded of the ratios of the solid AF to the solid GS, and of the solid GS to the solid GO, **is the same with the ratio which is compounded of the ratios of** the base AC to the base GK, and of the altitude AE to the altitude GM (F. 5.). But the ratio of the... | |
| |