| 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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