 | Euclides - 1848 - 52 pages
...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 - 390 pages
...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 F. Heather - Scientific apparatus and instruments - 1849 - 208 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 - 400 pages
...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 James Jameson - Mathematics - 1851 - 144 pages
...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 - 196 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 - 348 pages
...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 - 334 pages
...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 - 810 pages
...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 - 146 pages
...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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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
