 | John Keill - Geometry - 1782 - 476 pages
...Equiangular Parallelograms lave the Proportion to one another that is compounded of their Sides. T ET AC, CF, be equiangular Parallelograms, •*-* having the Angle BCD equal to the Angle EC G. 1 fay, the Parallelogram AC to the Parallelogram CF, is in the Proportion compounded of their... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...CD, as EF to GH. If therefore four ftraight lines, &•(:. Q^ED ' . . " • ' PROP. XXIII. THEO R. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : the... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...equal to GH ; AB is to CD, as EF t« GH. If therefore four ftraight lines, &c. Q^ED PROP. XXIII. THEOR. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : The... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...toGH, AB is to CD. as EF to GH. If therefore four flraight lines, gtc. QED PR Or. PROP. XXIII. THEO R. parallelograms have to one another the ratio which is compounded of the ratios of their fides. a i4. i. b n. 6. Let AC, CF "be equiangular parallelograms, having the angle BCD equal to the... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...of the fides. and to this Demonftration agrees the Enuntiation which is at prefent in the text, viz. equiangular parallelograms have to one another the ratio which is compounded of the ratios of the fides. for the vulgar reading " which is com«« pounded of their fides" is abfurd. But in this... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 Book VI. CE are also in a straight line» ;... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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, CE are also in a straight linea ; complete the parallelogram... | |
 | Euclid - Geometry - 1810 - 554 pages
...AB is to CD, as EF to GH. If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. SeeNote. EQUIANGULAR parallelograms have to one another the...the angle ECG : the ratio of the parallelogram AC to tlie parallelogram CF is the same with the ratio which is compounded of the ratios of their sides.... | |
 | John Mason Good - 1813 - 714 pages
...those straight lines shall be proportionals. Prop. XXIII. Theor. Equiangular parallelograms li. и f to one another the ratio which is compounded of the ratios of their sides. Prop. XXIV. Theor. The parallelograms about the diameter of any parallelogram, are similar to the whole,... | |
 | Euclides - 1814 - 560 pages
...equal to GH ; AB is to CD, as EF to Gil If therefore four straight lines, &c. QED PROP. XXIII. THEOR. . EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios ot their sides. / Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle... | |
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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... 
