 | Henry William Watson, Edward John Routh - 1860 - 240 σελίδες
...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... | |
 | Robert Potts - 1860 - 380 σελίδες
...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 σελίδες
...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... | |
 | Euclides - 1861 - 464 σελίδες
...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 - 1862 - 518 σελίδες
...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 be equivalent to... | |
 | Benjamin Greenleaf - 1862 - 532 σελίδες
...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 - 1861 - 638 σελίδες
...given line is to the other. PROBLEM XXXIV. 339. Upon a given base to construct an isosceles triang-lc, 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 be equivalent to... | |
 | Euclides - 1862 - 140 σελίδες
...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 - 1863 - 504 σελίδες
...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 be equivalent to... | |
 | Euclides - 1864 - 448 σελίδες
...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... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
