| William Frothingham Bradbury - Geometry - 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 - Geometry - 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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.... | |
| Euclid - Geometry - 1872 - 284 pages
...PROPOSITION X. PROBLEM. To construct an isosceles triangle, having each angle at the base, double of the vertical angle. Take any right line AB, and divide it in C, so that the rectangle under AB and CB be equal to the square of AC (by Prop. 1 1, B. 2), and from... | |
| Francis Cuthbertson - Euclid's Elements - 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... | |
| Euclides - 1874 - 342 pages
...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),... | |
| Bombay city, univ - 1874 - 648 pages
...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... | |
| Sir George Greenhill - Mathematics - 1876 - 318 pages
...right angle, and therefore the segments intersect on a circle described on OC as diameter. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. Prove that the circle drawn through the middle points of the sides of this triangle... | |
| H. Loehnis - 1876 - 652 pages
...proportion. 9. Find a mean proportional between two given straight lines. HIQHEB GEOMETRY. 10. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 11. If any straight line ABCD meet four fixed concurrent straight linos Oo, 0/3,... | |
| Robert Potts - Geometry - 1876 - 446 pages
...parallelograms can circles be inscribed ? 15. Give the analysis and synthesis of the problem : to describe an isosceles triangle, having each of the angles at the base double of the third angle ? 16. Shew that in the figure Euc. iv. 10, there are two triangles possessing the... | |
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