| Euclides - 1842 - 316 páginas
...of the 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. QEP PROP. XI. PEOB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABODE... | |
| John Playfair - 1842 - 332 páginas
...the 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. " COR. 1. The angle BAD is the fifth part of two right angles. " For since each of the angles ABD and... | |
| 1844 - 456 páginas
...the base segments proportional to the sides of the triangle. 4. On a given straight line as a base, describe an isosceles triangle having each of the angles at the base double of that at the vertex. — NB After giving the construction, sketeh briefly the outline of the proof.... | |
| Euclides, James Thomson - 1845 - 382 páginas
...distance EA, describe the circle ABCD: it is (IV. A, cor.) the circle required. PROP. X. PROB. — To describe an isosceles triangle, having each of...third angle. Take any straight line AB, and divide it (II. 11) in C, so that the rectangle AB.BC may be equal to the square of AC ; describe (I. 22) the... | |
| Euclides - 1845 - 546 páginas
...of the 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. QEF PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle.... | |
| Euclid - 1845 - 218 páginas
...of the 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. PROPOSITION XI. Pnon — To tttcrifo an fyvSatfral and equiangular pentagon in... | |
| Euclides - 1846 - 292 páginas
...angles BDA, DBA is double of the angle BAD : Wherefore an isosceles triangle ABD has been described, having each of the angles at the base double of the third angle, QEF PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE... | |
| Euclid, John Playfair - 1846 - 334 páginas
...the 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. " times the angle BAD. But the three angles ABD, ADB, BAD are " equal to two right angles, therefore... | |
| Euclides - 1848 - 52 páginas
...circle in a given square. PROP. IX PROBLEM. To describe a circle about a given square. PROP. X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. PROP. XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle. PROP. XII.... | |
| J. Goodall, W. Hammond - 1848 - 390 páginas
...What is harmonic progression, and how are questions relating to it most easily worked ? Section 3. 1. Describe an isosceles triangle having each of the angles at the base double of the third angle. 2. Bisect a given triangle by a straight line drawn through a given point in one of the sides. 3. Prove... | |
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