| Euclides - 1863 - Liczba stron: 122
...triangle ABD has each of its angles ABD and ADB double of the angle BAD. PHOP. X. (PnaELEM.)— 7 ' 0 describe an isosceles triangle, having each, of the angles at the base rfowWe of the third angle. Join DC, and about the triangle ADC describe the circle ACD (IV. 5). Because... | |
| Euclides - 1864 - Liczba stron: 448
...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.... | |
| 1865 - Liczba stron: 276
...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 - Liczba stron: 402
...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... | |
| Robert Potts - 1865 - Liczba stron: 528
...isosceles triangle so that four times either of the base angles is three times the vertical angle. 163. Describe an isosceles triangle having each of the angles at the base equal to one-eighth of the third angle. 164. Divide a right angle into five equal parts. 165. C and... | |
| John Fry Heather - 1866 - Liczba stron: 228
...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 - 1867 - Liczba stron: 426
...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 - Liczba stron: 468
...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... | |
| Euclid, Isaac Todhunter - 1867 - Liczba stron: 424
...meet it on the circumference of the given circle. VI. 19 to D. 406. An isosceles triangle is described having each of the angles at the base double of the third angle: if tho angles at the base be bisected, and the points where tho lines bisecting them meet the opposite... | |
| Robert Potts - 1868 - Liczba stron: 434
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. 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 in the point C, (lI. 11.) so that the rectangle AB, BCmay... | |
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