 | 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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To describe an isosceles triangle having each of the angles at the base double of the third angle. 
