 | John Keill - 1782 - 476 Seiten
...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 - 1795 - 462 Seiten
...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 - 1799 - 374 Seiten
...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... | |
 | Robert Simson - 1804 - 530 Seiten
...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... | |
 | John Playfair, Euclid - 1804 - 468 Seiten
...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... | |
 | John Playfair - 1806 - 320 Seiten
...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... | |
 | Robert Simson - 1806 - 546 Seiten
...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» ;... | |
 | Euclid - 1810 - 554 Seiten
...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 Seiten
...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 Seiten
...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... 
