 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 ; the ratio of the parallelogram AC to the parallelogram CF,...  Elements of Plane Geometry According to Euclid - Page 139by Andrew Bell - 1837 - 240 pagesFull view - About this book
 | Robert Simson - Geometry - 1838 - 434 pages
...the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle * See Note. BCD equal to the angle ECG : the ratio of the parallelogram...which is compounded of the ratios of their sides. Let BG, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (14. 1.); and... | |
 | Euclides - Geometry - 1841 - 378 pages
...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: the parallelogram AC shall have to the parallelogram CF, the ratio which is compounded of the ratios of... | |
 | Euclides - 1842 - 316 pages
...their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle E c G : the ratio of the parallelogram AC to the parallelogram CF is the same as the ratio which is compounded of the ratios of their sides. Let вc, CG be placed in a straight... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...which is compounded of the ratios of the solid AF to the solid GS, and of the solid GS to the solid GO, is the same with the ratio which is compounded of the ratios of the base AC to the base GK, and of the altitude AE to the altitude GM (F. 5.). But the ratio of the... | |
 | Euclid - Geometry - 1845 - 218 pages
...ratios of their sides. BOOK VI. PROP. XXIV. • 14. 1. t 12. 6. t 12. 6. A. Def. 5. V 11.5. Let BC, CG be placed in a straight line ; therefore DC and CE are also in a straight line*; and complete the parallelogram DG; and taking any straight line K, makef as BC to CG, so K to L ; and... | |
 | Euclides - 1845 - 546 pages
...• equal to the angle ECG. Then the ratio of the parallelogram AC to the parallelogram CF, shall be the same with the ratio which is compounded of the ratios of their sides. DH KLM EF Let BC, CG be placed in a straight line ; therefore DC and CE are also in a straight line... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...their sides. Let AC, CF be equiangular parallelograms, having the angles G BCD, ECG equal: AC has to CF the ratio which is compounded of the ratios of their sides. Let BC, CG be placed in a straight line; therefore DC, CE arcalso (I. 14, cor.) in a straight line. Complete... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...which is compounded of the ratios of the solid AF to the solid GS, and of the solid GS to the solid GO, is the same with the ratio which is compounded of the ratios of the base AC to the base GK, and of the altitude AE to the altitude GM (F. 5.). But the ratio of the... | |
 | Euclides - 1846 - 292 pages
...parallelograms are to one another in 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 : the parallelogram AC shall be to the parallelogram CF in the ratio which is compounded of the ratios of... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...their sides. Let AC, CF be equiangular parallelograms having the angle BCD equal to the angle ECG ; tbe ratio of the parallelogram AC to the parallelogram...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. 1.); complete... | |
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