 | Euclides - 1855 - 230 pages
...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.... | |
 | Euclides - 1855 - 270 pages
...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... | |
 | Noble Heath - 1855 - 468 pages
...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... | |
 | Noble Heath - Arithmetic - 1856 - 472 pages
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...lambs are bought for 84Z. What is the price of an ox 1 Voluntary Portion. 1. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. If the sides of one of the equiangular parallelograms be 6 and 4 yards, and those of the other... | |
 | Euclid - 1859 - 150 pages
...rrapaXXqXóypa/i/ia irpоçâXXqXa Xóyov ÉXC* Tоv ffvyKtípívov ¿K TÜV ir\ivpwv. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Statement — Let AC and CF be equiangular parallelograms, having the angle BCD equal to the... | |
 | Eucleides - 1860 - 396 pages
...similarly situated. fThey are to one another as -j 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.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...proportional to the squares of their homologous sides. 36. How is it s.hewn that equiangular parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes ? 37. To find two lines which shall have to each other, the ratio compounded of... | |
 | War office - 1861 - 714 pages
...two equal parts. VOLUNTARY PORTION. 1. Define compound ratio. Prove that equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 2. Define a plane. When is a straight line perpendicular to a plane ? Draw a straight line perpendicular... | |
 | George Sturton Ward - Geometry, Algebraic - 1862 - 104 pages
...technical use of the term was intended in the Enunciation of Prop. 23, Bk. vi , "Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides," — \oyov TOV avy/ceip,evov ¿к Ttav TT\evpwv. It may easily be seen that the ratio of two... | |
| |
Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
