 | John Playfair - Mathematics - 1806 - 320 pages
...CGd, and CH : CF : : DC : CE, f 22. S. therefore AC : CF : : BC.DC : CG.CEf." PROP. XXIV. THEOR. THE parallelograms about the diameter of any parallelogram are similar to the whole and to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EG, HK the parallelograms about the diameter;... | |
 | John Mason Good - 1813 - 714 pages
...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, and to one another. Prop. XXV. Prob. To describe a rectilineal figure which shall he similar to one, and equal tu another... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...ratios of the sides. Wherefore equiangular paralle-* lograms, &c'. Q, ED • PROP. XXIV. THEOR. The parallelograms about the diameter of any parallelogram, are similar to the whole, and to one another. Let ABCD be a parallelogram, of which the diameter is AC ; and EG, HK the parallelograms about the... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...of the ratios of the sides. Wherefore, equiangular parallelograms, &c. QED K PROP. XXIV. THEOR. THE parallelograms about the diameter of any parallelogram are similar to the whole, and to one another * Let ABCD be a parallelogram, of which the diameter is AC; and EG, HK the parallelograms about the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Wherefore equiangular parallelograms, &c. Q. Б. D. PROP. xxiv. TH"EOR. The parallelograms about Ihc diameter of any parallelogram, are similar to the whole, and to one another. Let ABCD be a parallelogram, of which the diameter is AC ; and EG, HK the parallelograms about the... | |
 | Euclides - 1826 - 226 pages
...therefore, by equality, it is as к to м so is the PROPOSITION XXIV* THEOREM. Parallelograms which are about the diameter of any parallelogram are similar to the whole and to one another. Let ABCD be a parallelogram, and AC its diameter, and let FG, нк, be parallelograms about AC ; then... | |
 | Euclid - 1826 - 234 pages
...parallelogram AC to the parallelogram CF.d But also к PROPOSITION XXIV* THEOREM. Parallelograms which are about the diameter of any parallelogram are similar to the whole and to one another, Let ABCD be a parallelogram, and AC its diameter, and let FG, нк, be parallelograms about AC ; then... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...of the ratios of the sides. Wherefore equiangular parallelograms, &c. QBD See N. PROP. XXIV. THEOR. Parallelograms about the diameter of any parallelogram, are similar to the "whole, and to one another. Let ABCD be a parallelogram, of which the diameter is AC; and EG, HK parallelograms about the diameter:... | |
 | John Playfair - Geometry - 1836 - 148 pages
...compounded of the ratios of the sides. Wherefore, equiangular parallelograms, &c. QED PROP. XXIV. THEOR. The parallelograms about the diameter of any parallelogram are similar to the whole, and to one another. Let ABCD be a parallelogram, of which the diameter is AC ; and EG, HK the parallelograms about the... | |
 | Mathematics - 1836 - 488 pages
...parallelograms have to one another the ratio which is compounded of the ratios of their sides. XXIV. The parallelograms about the diameter of any parallelogram, are similar to the whole, and to one another. XXVÍ. If two simi. lar parallelograms have a common angle, and be similariy situated, they are about... | |
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The parallelograms about the diameter of any parallelogram are similar to the whole, and to one another. Let ABCD be a parallelogram, of which the diameter is AC ; and EG... 
