 | Benjamin Greenleaf - 1863 - 504 Seiten
...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 - 262 Seiten
...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 - 448 Seiten
...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 - 276 Seiten
...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 - 402 Seiten
...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... | |
 | Robert Potts - 1865 - 528 Seiten
...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 bae« double of the third angle. Take any straight line AB, and divide it in the point C, (n. 11.)... | |
 | John Fry Heather - 1866 - 228 Seiten
...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 - 424 Seiten
...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 - 1867 - 426 Seiten
...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 - 468 Seiten
...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... | |
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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
