 | 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... | |
 | 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 ratio of... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...GC, and of the infilling line HE to the infifting line EK. COR. 1. Hence alfo, any parallelepipeds have to one another the ratio which is compounded of the ratios of their bafes and of their altitudes. For if they be contained by reftangles, they are equiangular, and their... | |
 | Robert Simson - Trigonometry - 1804 - 528 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... | |
 | 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... | |
 | Robert Simson - Trigonometry - 1806 - 548 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... | |
 | 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... | |
 | 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 - 592 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... | |
 | John Mason Good - 1819 - 800 pages
...proportionals, those straight lines shall be proportionals. Prop. XXIII. Theor. Equiangular parallelograms have 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... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
