 | Joseph Fenn - Mathematics - 1769 - 524 pages
...to be demonstrated. F f D PROPOSITION XXIII. THEOREM XVII. flj Q_U IANGULAR parallelograms (M & N) have to one another the ratio which is compounded of the ratios of their fides (AC, CD & EC, CG) about the equal angles. Hypothefis. Thefis. The pKrs. M У N are equiangular,... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...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 Edition... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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
...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 - Trigonometry - 1804 - 530 pages
...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
...GH, If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. s«eN. EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let AC Ci; be equiangular parallelograms, having the angle BCD equal to the angle ECG: the ratio of... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...if four straight lines, &c. QED A BC D K N PROP. XXIII. THEOR. Book VI. 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... | |
 | 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
...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 - 588 pages
...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... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
