 | John Playfair - 1806 - 320 σελίδες
...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 σελίδες
...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 - 1819 - 350 σελίδες
...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 - 1821 - 514 σελίδες
...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 - 1825 - 1046 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1827 - 546 σελίδες
...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 - 1836 - 148 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...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... 
