| Euclides - 1853 - 334 sider
...THEOE. If two parallelograms have one angle of the one equal to one angle of the other : then they shall **have to one another the ratio which is compounded of the ratios of** each pair of sides about the equal angles. Let ABCD, EFGH be two parallelograms, having the angle ABC... | |
| Royal Military Academy, Woolwich - 1853 - 400 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. i.) ; and... | |
| Euclides - 1853 - 176 sider
...the angle e С g '• the ratio of the parallelogram a С to the parallelogram. С fis the same with **the ratio which is compounded of the ratios of their sides. Let** bС, С g be placed in a straight line ; therefore d С and С e are also in a straight line (i. 14)... | |
| Euclides - 1855 - 270 sider
...described upon them, are also continual proportionals ; and amversely. PROP. XXIIL THEOREM. taugu/ar **parallelograms have to one another the ratio which is compounded of the ratios of their sides Let AC** and CF be equiangular parallelograms, having the angle BCD equal to the angle EC G. The ratio of the... | |
| Robert Potts - 1855 - 1050 sider
...angles to each of them in that point; these three straight lines are in cue and the same plane. 14. **Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides.** Draw a straight line perpendicular to the plane of a triangle such that if any point in it be joined... | |
| Noble Heath - 1855 - 468 sider
...multiplying the base by its perpendicular height or altitude, (103,) it is evident that the areas of any two **parallelograms have to one another the ratio which is compounded of the ratios of their** bases and altitudes. Hence we deduce the following properties : 1. Parallelograms of equal base and... | |
| Euclides - 1855 - 230 sider
...similarly situated. They are to one another as the rectangles under their bases and altitudes. They **have to one another the ratio which is compounded of the ratios of their sides.** Their sides about the eqnal angles are reciprocally proportional. They are equal to one another. They... | |
| Noble Heath - 1856 - 472 sider
...multiplying the base by its perpendicular height or altitude, (103,) it is evident that the areas of any two **parallelograms have to one another the ratio which is compounded of the ratios of their** bases and altitudes. Hence we deduce the following properties : 1. Parallelograms of equal base and... | |
| 1857 - 1266 sider
...shall be equiangular, and shall have those angles equal about which the sides are proportional. 2. **Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides.** 3. If the sides of any polygon be produced to meet the alternate sides, also produced, the angles formed... | |
| Euclid - 1859 - 150 sider
...Ta "taoyúvia rrapaXXqXóypa/i/ia irpоçâXXqXa Xóyov ÉXC* Tоv ffvyKtípívov ¿K TÜV ir\ivpwv. **Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides.** Statement — Let AC and CF be equiangular parallelograms, having the angle BCD equal to the angle... | |
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