| Euclides - 1848
...circle in a given square. PROP. IX PROBLEM. To describe a circle about a given square. PROP. X. PROBLEM. **To describe an isosceles triangle, having each of the angles at the base double of the third angle.** PROP. XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle. PROP. XII.... | |
| J. Goodall, W. Hammond - 1848
...What is harmonic progression, and how are questions relating to it most easily worked ? Section 3. 1. **Describe an isosceles triangle having each of the angles at the base double of the third angle.** 2. Bisect a given triangle by a straight line drawn through a given point in one of the sides. 3. Prove... | |
| John Fry Heather - Mathematical instruments - 1849 - 183 pages
...method of making and recording observations, 161; use of the portable transit, 162. Triangle, isosceles, **having each of the angles at the base double of the third angle,** constructed, 43 ; right-angled, solved, 32. Troughton, his level, 110 ; his reflecting circle, 149.... | |
| 1850
...a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 6. **To describe an isosceles triangle, having each of the angles at the base double of the third angle.** DEDUCTIONS. (I.) Bisect a given triangle by a line drawn from a given point in one of its sides. (2.)... | |
| FRANCIS J. JAMESON - 1851
...these arcs, will also be in this ratio ; and therefore AjAgAg will be the triangle required. 1850. (A). **Describe an isosceles triangle, having each of the angles at the base double of the third angle,** (iv. 10.) (B}. Shew that the base of the triangle is equal to the side of a regular pentagon inscribed... | |
| Harvey Goodwin - Mathematics - 1851 - 173 pages
...into two segments such that the angle in one of them shall be five times the angle in the other. 5. **Describe an isosceles triangle, having each of the angles at the base double of the third angle.** Shew that the base of the triangle is equal to the side of a regular pentagon inscribed in the smaller... | |
| Bengal council of educ - 1852
...of any parallelogram meet the diagonal of the whole parallelogram in the same point. 2. Describe a **triangle having each of the angles at the base double of the third angle** : and deduce the expression for sin 36°. 3. If two straight lines be at right angles to the same plane... | |
| Euclides - Geometry - 1853
...given square ABCD, it is circumscribed (iv. Def. 6) about it. Which was to be done. PEOP. X. PEOB. **To describe an isosceles triangle, having each of...third angle. Take any straight line AB, and divide** (ii. n) it in the point c so that the rectangle AB, BC may be equal to the square of AC, the part of... | |
| University of Sydney - 1853
...straight lines drawn from the angles of a triangle perpendicular to the opposite sides meet in a point. 6. **Describe an isosceles triangle having each of the angles at the base double** the third angle. Hence show how to inscribe a regular decagon in a given circle. 7. Enunciate two propositions... | |
| Euclides - 1853
...the angles BDA, DBA, is double of the angle DAB. Wherefore an isosceles triangle ABD is described, **having each of the angles at the base double of the third angle.** QEF PROP. XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in a given circle. Let ABCDE... | |
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