 | Benjamin Greenleaf - 1869 - 516 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 AC X BC... | |
 | Euclides - 1870 - 270 pages
...describe a circle : the circle ABCD is about the given square. (9. IV.) PROB. 10. To describe an isoecelee triangle Having each of the angles at the base double of the third angle. x"' E — Take any line AB, and, by 11. II., divide it so that the -• rectangle AB . BC shall equal... | |
 | Edinburgh univ - 1871 - 392 pages
...by this line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles triangle having each of the angles at the base double the third angle. 5. In right angled triangles, the rectilineal figure described upon the side opposite... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pages
...C, D, and will be described about the square, as was required. Q. is. F. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, BO that rect. AB, BC = sq. on AC. II. 11. With centre A and... | |
 | Euclides - 1872 - 102 pages
....: OA, OB, OC, OD are all equal; PROPOSITION X. PROBLEM. To describe an isosceles triangle, haeing each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, so that rect. AB, BC=sq. on AC. n. 11. With centre A and radius... | |
 | William Frothingham Bradbury - 1872 - 124 pages
...line. When is the Problem impossible ? 62, To trisect a right angle. 63, On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 64, To construct an isosceles triangle when there are given 1st. The base and opposite... | |
 | William Frothingham Bradbury - 1872 - 262 pages
...line. When is the Problem impossible? 62. To trisect a right angle. 63. On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 64. To construct an isosceles triangle when there arc given 1st. T-he base and opposite... | |
 | Bombay city, univ - 1874 - 648 pages
...join it with tho angular points of tho trianglu Uivido tho triangle into three equal parts. 9 ex 3. Describe an isosceles triangle having each of the angles ? at the base double of the third angle. 4. A rectangle ABCD and a parallelogram iBCP, wi\hm 10 the rectangle; have the same diagonal AC ; through... | |
 | Euclides - 1874 - 342 pages
...extremities of the other three, and be described about the square ABCD QEF PROPOSITION 10. — Problem. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Construction. Take any straight line AB, and divide it in the point C (II. 11), so that the rectangle... | |
 | Francis Cuthbertson - 1874 - 400 pages
...remainder CR, but GC is the square on PC and CJtis = rectangle PQ, QC, foiQRis = PQ; PROBLEM C. To describe an isosceles triangle having each of the angles at the base double of the angle at the vertex. Take any straight line AB and divide it in C, so that rectangle AB, BC may be... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
