| John Martin Frederick Wright - 1836 - 776 sider
...which the other sides of the triangle have to one another. Shew that the converse is also true. 2. **Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides.** 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal... | |
| 1836 - 488 sider
...straight lines be proportionals, those straight lines shall be proportionals. XXIII. Equian. guiar **parallelograms have to one another the ratio which is compounded of the ratios of their sides.** XXIV. The parallelograms about the diameter of any parallelogram, are similar to the whole, and to... | |
| John Playfair - 1836 - 148 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 (2. 1.) ; and... | |
| Euclid, James Thomson - 1837 - 410 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 being (I. 84.)... | |
| Andrew Bell, Robert Simson - 1837 - 290 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** EC, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (I. 14) ; and... | |
| Robert Simson - 1838 - 434 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 - 528 sider
...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.... | |
| 1840 - 468 sider
...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.... | |
| Euclides - 1841 - 378 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 - 316 sider
...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... | |
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