 | Henry William Watson, Edward John Routh - 1860 - Liczba stron: 240
...through O and 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 of intersection... | |
 | Henry William Watson, Edward John Routh - 1860 - Liczba stron: 240
...equal to the rectangle AB, AD, then, if 0 be the centre of the circle, AO is perpendicular to DE. 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 of intersection... | |
 | Robert Potts - 1860 - Liczba stron: 380
...what 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 property.... | |
 | 1860 - Liczba stron: 294
...STUDENTS. to 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 by PROF.... | |
 | Euclides - 1861 - Liczba stron: 464
...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 parts,... | |
 | War office - 1861 - Liczba stron: 714
...Describe an isosceles triangle having each of the angles at the base double of the third angle. Also describe an isosceles triangle having each of the angles at the base one-third of the third angle. 2. If two triangles have one angle of the one equal to one angle of the... | |
 | Euclides - 1862 - Liczba stron: 140
...triangle. 9. Inscribe a square in a given semicircle. Prop. 10 to 16. 10. On a given straight line as base, describe an isosceles triangle, having each of the angles at the base one-third of the vertical angle. 11. The square of one of the diagonals of a regular pentagon inscribed... | |
 | Benjamin Greenleaf - 1862 - Liczba stron: 532
...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 - 1862 - Liczba stron: 518
...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 - 1863 - Liczba stron: 504
...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... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
