| Euclides - 1864
...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.... | |
| Euclides - 1865
...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... | |
| Architecture - 1865
...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,... | |
| John Fry Heather - Mathematical instruments - 1866 - 185 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 - 400 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
...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... | |
| Robert Potts - 1868 - 410 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,... | |
| Edward Morris Reynolds - 1868 - 136 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,... | |
| André Darré - 1872
...: AK = AD (78, Cor. i.). BD is said to be cut internally in F, and externally in H. THEOREM. 88. In **an isosceles triangle which has each of the angles at the base double of the** angle at the vertex, a line bisecting either of the angles at the base divides the opposite side into... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...square, as was required. Q. is. F. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having **each of the angles at the base double of the third angle.** Take any st. line AB and divide it in C, BO that rect. AB, BC = sq. on AC. II. 11. With centre A and... | |
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