 | Robert Potts - 1855 - 1050 pages
...that point; these three straight lines are in cue and the same plane. 14. Equiangular parallelograms have to one another the ratio 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... | |
 | 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 ratio... | |
 | 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... | |
 | 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 angle... | |
 | 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 2 and... | |
 | Eucleides - 1860 - 396 pages
...similar parallelograms have a common angle, and be similarly situated. fThey are to one another as -j the rectangles under their ( bases and altitudes....whole and to one another. They are about the same . meter. I. Comparison of Rectangles contained by Straight Lines and their Segments. VI. 17. . VI.... | |
 | 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
...the ratio) compounded of 'the ratios of their sides." The same parallelopipeds may also be shewn to have to one another the ratio which is compounded of the ratios of their edges. When a ratio is compounded of several ratios, all of •which are the same, it is termed a duplicate... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
