| Robert Simson - Trigonometry - 1806 - 518 pages
...angles BDA, DBA is double of the angle DAB; wherefore an isosceles triangle ABD is described, having **each of the angles at the base double of the third angle.** Which was to be done. PROP. XI. PROB. TO inscribe an equilateral and equiangular pentagon in a given... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...about the square ABCD. Which was to be done, r PROP. X. PROB. TO describe an isosceles triangle, having **each of the angles at the base double of the third angle.** Book IV. Take any straight line AB, and divide1 it in the point C, a ll- 2so that the rectangle AB.BC... | |
| John Mason Good - 1813 - 722 pages
...To describe a circle about a given square. Prop. X. Prob. To describe an isosceles triangle, having **each of the angles at the base double of the third angle.** Prop. XI. Prob. To inscribe an equilateral and equiangular pentagon in a given circle. Prop. XII. Prob.... | |
| Euclides - 1816 - 528 pages
...angles BDA, DBA is double of the angle DAB, wherefore an isosceles triangle ABD is described, having **each of the angles at the base double of the third angle.** Which was to be done. PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...angles BOA, DBA is double of the angle DAB ; wherefore an isosreles triangle ABD is described, having **each of the angles at the base double of the third angle.** Which was to be done. " COR. 1. The angle BAD is the fifth part of two right angles. " For since each... | |
| Daniel Cresswell - Euclid's Elements - 1825 - 582 pages
...the method of describing, upon a given finite straight line as a base, an isosceles triangle, having **each of the angles at the base double of the third angle.** 25. COR. 3. The figure ABHFMCDGEL being an equilateral and equiangular decagon, if the points A, H,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having **each of the angles at the base double of the third angle.** Which was to be done. PROP. XL PROB. To inscribe an equilateral and equiangular pentagon in a given... | |
| John Martin Frederick Wright - Astronomy - 1831
...[Ncwton, Book III. Prop. 35.] TRINITY COLLEGE, JUNK 1829. 1 . DESCRIBE an isosceles triangle having **each of the angles at the base double of the third angle.** 2. Find the interest and discount of £ 500 for 7 months at 3| per cent per ann. simple interest. 3.... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having **each of the angles at the base double of the third angle.** * This is considered the most useful problem in Euclid. Steps of the Demonstration. 1. Prove that AB... | |
| Euclid - Geometry - 1837 - 410 pages
...: it is (IV. A. cor.) the circle required. PROP. X. PROB. To describe an isosceles triangle, having **each of the angles at the base double of the third angle.** Take any straight line AB, and divide it (II. .11.) in C, so that * In practice, the construction is... | |
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