| Benjamin Greenleaf - Geometry - 1863 - 320 pages
...constructed on DF as the one given line is to the other. PROBLEM XXXIV. 339. Upon a given base to construct **an isosceles triangle, having each of the angles at the base double** the vertical angle. Let AB be the given base. Produce AB to some point C till the rectangle ACXBC shall... | |
| Euclides - 1864
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. **To describe an isosceles triangle, having each of...any straight line AB, and divide it in the point C,** (il. 11.) so that the rectangle AB, BC may be equal to the square on CA ; and from the center A, at... | |
| Euclides - 1864
...what parallelograms can circles be inscribed ? 16. Give the analysis and synthesis of the problem : **to describe an isosceles triangle, having each of the angles at the base double of the third angle** ? 16. Shew that in the figure Euc. rv. 10, there are two triangles possessing the required property.... | |
| Architecture - 1865
...which shall contain an angle equal to a 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
...To inscribe a circle in a given square. Prop. 9. To describe a circle about a given sqnar* Prop. 10. **To describe an isosceles triangle, having each of the angles at the base** doable of the third angle. Prop. 11. To inscribe an equilateral and equiangular pentagon in a given... | |
| John Fry Heather - Mathematical instruments - 1866 - 185 pages
...of 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
...square ABCD. Wherefore a circle has been described about the given square. QEF PROPOSITION 10. PROBLEM. **To describe an isosceles triangle, having each of...third angle. Take any straight line AB, and divide it** at the point C, so that the rectangle AB, BC may be equal to the square on AC; [II. 11. from the centre... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...circumference of the described segment; so 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
...tables, (-00645)*; (3) The 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 - 112 pages
...this square determines the required point on AB. The proof from m. 11 and III. 12. 8. To construct **an isosceles triangle having each of the angles at...third angle. Take any straight line AB, and divide it** so that AB.BC = With centre A and distance AB describe a circle, in which place BD = AC. Join AD; ABD... | |
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