 | 1860 - 294 sider
...find x and y by quadratics. — Communicated by Prof. K W. EVANS, Marietta College, Ohio. II. Describe an isosceles triangle having each of the angles at the base double of the third angle. III. Which is greater, 2 tan~ 1 (y/2 — 1), or 3 tan- 1 £ -f- tan~ 1 -fa ? — Communicated... | |
 | Robert Potts - 1860 - 380 sider
...parallelograms can circles be inscribed ? I5. 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 required... | |
 | Henry William Watson, Edward John Routh - 1860 - 240 sider
...cut the circle in C' and DE in P. Then as before the angle APD = ABC' = a right angle. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. If A be the vertex, and BD the base of the constructed triangle, D being one of the points... | |
 | Euclides - 1861 - 464 sider
...6 Ax. 7 & 6. I. Sim. Ax. 1. 9, III. 7 8 9 10 D. 8. 11 Dcf. 6, IV. PROP. 10. — PROB. To construct an isosceles triangle, having each of the angles at the base double of the third, or vertical angle. CON. Pst. 3. 1. IV. Pet. 1. 5, IV. 11, II. To divide a given line into two... | |
 | War office - 1861 - 714 sider
...circles equal circumferences are subtended by equal straight lines. VOLUNTARY PORTION. 1 . Describe an isosceles triangle having each of the angles at the base double the third angle. 2. In a right-angled triangle if a perpendicular be drawn from the right angle to... | |
 | Euclides - 1862 - 140 sider
...the circle ABCD is described about the square ABCD. §. EF PROPOSITION 10.— PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. (References— Prop. I. 5, C, 32; II. 11; III. 32, 37; IV. 1, 5.) Construction. — 1.... | |
 | Benjamin Greenleaf - 1862 - 518 sider
...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 ACXBC shall... | |
 | Benjamin Greenleaf - 1862 - 532 sider
...constructed on DP as the one given line is to the other. PKOBLEM XXXIV. 339. Upon a given base to construct an isosceles triangle, having each of the angles at the base double the г^ег Heal angle. Let А В be the given base. Produce А В to some point С till the rectangle... | |
 | Benjamin Greenleaf - 1863 - 504 sider
...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 ACXBC shall... | |
 | Euclides - 1864 - 448 sider
...parallelograms can circles be inscribed ? 16. 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. rv. 10, there are two triangles possessing the required... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
