 | Mathematics - 1860 - 294 pages
...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 ? —... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
 | War office - 1861 - 714 pages
...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 the base, the triangles... | |
 | Euclides - 1861 - 464 pages
...30, I. D. 3. 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...square is to that 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 - Geometry - 1862 - 518 pages
...square is to that 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 - 1862 - 140 pages
...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.... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...square is to that 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 pages
...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... | |
 | Euclides - 1865 - 402 pages
...wherefore the circle ABCD is described about the square ABCB. Q. E, F. PROP. X. — PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. (References — Prop. I. 5, 6, 32 ; n. 11 ; m. s2, 37 ; rv. 1, 5.) CONSTRUCTION... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
