 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the bate double of the third angle. Take any straight line AB, and diride it in the point C, (ll. 11.)... | |
 | Euclides - 1861 - 464 pages
...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 - 714 pages
...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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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 - Geometry - 1862 - 532 pages
...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... | |
 | Euclides - 1862 - 140 pages
...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 - Geometry - 1863 - 504 pages
...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 - 1863 - 122 pages
...triangle ABD has each of its angles ABD and ADB double of the angle BAD. PHOP. X. (PnaELEM.)— 7 ' 0 describe an isosceles triangle, having each, of the angles at the base rfowWe of the third angle. Join DC, and about the triangle ADC describe the circle ACD (IV. 5). Because... | |
 | Euclides - 1864 - 262 pages
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of...third angle. Take any straight line AB, and divide it in the point C, (il. 11.) so that the rectangle AB, BC may be equal to the square on CA ; and from... | |
 | Euclides - 1864 - 448 pages
...what 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 property.... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
