| Euclides - 1864 - 448 pages
...BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD has been 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.... | |
| Architecture - 1865 - 276 pages
...given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having **each of the angles at the base double of the third angle.** Book VI. Proposition 2. Theorem. If a straight line be drawn parallel to one of the sides of a triangle,... | |
| Euclides - 1865 - 402 pages
...described about the square ABCB. Q. E, F. PROP. X. — PROBLEM. To describe an isosceles triangle, having **each of the angles at the base double of the third angle.** (References — Prop. I. 5, 6, 32 ; n. 11 ; m. s2, 37 ; rv. 1, 5.) CONSTRUCTION Take any straight line... | |
| Robert Potts - 1865 - 528 pages
...BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD has been 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.... | |
| James Robert Christie - Mathematics - 1866 - 428 pages
...section be joined; the triangles so formed will be similar to one another. 653. If through the angles **of an isosceles triangle which has each of the angles...circle, straight lines be drawn touching the circle,** an isosceles triangle will be formed which has each of the angles at the base one-third of the angle... | |
| John Fry Heather - Mathematical instruments - 1866 - 228 pages
...making and recording observations, 151 ; use of the portable transit, 153. Triangle, isosceles, having **each of the angles at the base double of the third angle,** constructed, 40; right-angled, solved, 31. Ti-oughton, his level, 104; his reflecting circle, 141.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...that the given straight line must not exceed twice AE. 43. To describe an isosceles triangle having **each of the angles at the base double of the third angle.** This problem is solved in IV. 10 ; we may suppose the solution to have been discovered by such an analysis... | |
| Samuel H. Winter - 1867 - 468 pages
...value of x to two decimal places when i 10x =2-45. 15. Find the area of an isosceles triangle, having **each of the angles at the base double of the third angle,** one of the equal sides being 12 feet. XV. (a.) 1. How many times is £2 15s. 6d. contained in £152... | |
| E. M. Reynolds - Geometry - 1868 - 172 pages
...required point on AB. The proof from m. 11 and III. 12. 8. To construct an isosceles triangle having **each of the angles at the base double of the third angle.** Take any straight line AB, and divide it so that AB.BC = With centre A and distance AB describe a circle,... | |
| Robert Potts - 1868 - 434 pages
...BDA, DBA is double of the angle DAB. AVherefore an isosceles triangle ABD has been 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,... | |
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