| 1865 - 276 páginas
...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 páginas
...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 páginas
...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 páginas
...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 - 426 páginas
...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 páginas
...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 - 1868 - 172 páginas
...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;... | |
| Robert Potts - 1868 - 434 páginas
...what parallelograms can circles be inscribed ? 15. 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. iv. 10, there are two triangles possessing the required property... | |
| 1868 - 344 páginas
...have also a circle described about it the area of thii circle is double that of the first circle. S. Describe an isosceles triangle having each of the angles at the base double of the third angle.—Apply this proposition directly to inscribe au equilateral and equiangular decagon in a given... | |
| Benjamin Greenleaf - 1868 - 340 páginas
...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... | |
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