| Euclides - 1846 - 292 pages
...extremities of the other three, and be described about the given square ABCD. QEF PROP. X. PnOB. 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, so that the rectangle... | |
| J. Goodall, W. Hammond - 1848 - 390 pages
...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... | |
| Euclides - 1848 - 52 pages
...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... | |
| 1850 - 400 pages
...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... | |
| Francis James Jameson - Mathematics - 1851 - 144 pages
...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... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...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... | |
| University of Sydney - 1853 - 810 pages
...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 - Geometry - 1853 - 334 pages
...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 the angles at the base double of the third angle. Take any straight line AB, and divide (ii. n) it in the point c so that the rectangle... | |
| William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...quadrilateral circles be described meeting again in JJ; P, R, Q will be in one straight line. 4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Upon a given straight line, as base, describe an isosceles triangle having the... | |
| William Somerville Orr - Science - 1854 - 534 pages
...л described about tic square ABCD. Which was to be done. PROPOSITION X.— PÍIOBLEM. To describe an isosceles triangle having each of the angles at the base double of tinthird angle. ' u "• Take any straight line AB, and divide it in B,so and with centre A and... | |
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