| Civil service - 1866
...extremities of the base have the same ratio which the other sides of the triangle have to one another. 7. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 8. Trisect a given straight line. 9. Construct a rectangle which shall be equal to a given... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...straight lines &c. QED PROPOSITION 23. THEOREM. Parallelograms which are equiangular to one another **have to one another the ratio which is compounded of the ratios of** their sides. Let the parallelrgram AC be equiangular to the parallelogram CF, having the angle BCD... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...hava the following theorem, triangles which, ham one angle of the one equal to one angle of the other, **have to one another the ratio which is compounded of the ratios of** their sides. Then VI. 19 is an immediate consequence of this theorem. For let ABC and DEF be similar... | |
| 1868
...points a, /3. The areas of triangles which have one angle of the one equal to one angle of the other, **have to one another the ratio which is compounded of the ratios of the sides.** Applying this to the triangles PAB, Pa/8, which have the angle at P common, we have algebraically "J.... | |
| Robert Potts - 1868 - 410 sider
...is to CD, as EFto GH. (v. 7.) If therefore, four straight lines, &c. QED PROPOSITION XXIII. THEOREM. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG.... | |
| Euclid - 1868 - 141 sider
...Та laoyúvia я-apaXX1)Xóуpa/1/ш irpоc a\\rf\a \oyov ?^fi TÔv avyKfifiivov ÍK TÜV ir\evpwv. **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... | |
| Woolwich roy. military acad - 1868
...circles in E and F respectively, show that if AB produced meet EF in C then EC is equal to FO. 11. **Equiangular parallelograms have to one another the ratio which is compounded of the** ratio of their sides. Assuming that the area of a triangle may be represented by half the product of... | |
| Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...extremities of the base have the same ratio which the other sides of the triangle have to one another. 7. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 8. Trisect a given straight line. 9. Construct a rectangle which shall be equal to a given... | |
| Edinburgh univ - 1871
...angular points of the triangle, the greatest of these shall be equal to the other two together. 6. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 8. If the angle of a triangle be bisected, and perpendiculars be drawn to the bisecting... | |
| Dublin city, univ - 1871
...triangles will be equiangular, and will have those angles equal about which the sides are proportional ? 8. **Equiangular parallelograms have to one another the ratio which is compounded of the** ratio of their sides ? DR. STUBBS. 1. The square of the bisector of the vertical angle of a triangle... | |
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