| 1865 - 276 pages
...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,... | |
| Robert Potts - 1865 - 528 pages
...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... | |
| Euclides - 1865 - 402 pages
...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 - 1866 - 228 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 - 1867 - 426 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 - 468 pages
...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... | |
| Robert Potts - 1868 - 434 pages
...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... | |
| E. M. Reynolds - 1868 - 172 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 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,... | |
| 1868 - 344 pages
...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 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... | |
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