 | John Keill - 1782 - Liczba stron: 476
...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... | |
 | Alexander Ingram - 1799 - Liczba stron: 374
...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 - Liczba stron: 530
...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 - 1806 - Liczba stron: 546
...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 - Liczba stron: 554
...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 - Liczba stron: 714
...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 - Liczba stron: 560
...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... | |
 | Euclides - 1816 - Liczba stron: 588
...of the sides. And to this demonstration agrees the enunciation which is at present in the text, viz. equiangular parallelograms have to one another the ratio which is compounded of the ratios of the sides ; for the vulgar reading, " which is compounded of their sides," is absurd. But, in this... | |
 | John Playfair - 1819 - Liczba stron: 350
...equal to GH, AB is to CD, as EF to GH. If therefore four straight lines, &c. Q, ED PROP. XXIII. THEOR. Equiangular parallelograms have to one another the...CF is the same with the ratio which is compounded •f the ratios of their sides. DH Let BC, CG be placed in a straight line ; therefore DC and CE are... | |
 | John Playfair - 1819 - Liczba stron: 354
...to CD, as EF to GH. If therefore four straight lines, &c. Q, E. D, PROP. XXIII. THEOR. Equiangnlar parallelograms have to one another the ratio which...CF be equiangular parallelograms having the angle BCfD equal to the angle ECG ; the ratio of the parallelogram AC to the parallelogram CF is the same... | |
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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... 
