 | 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 - 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 required... | |
 | 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 Take any... | |
 | Architecture - 1865 - 276 pages
...contain an angle equal to a given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each of the angles at the base double of the third angle. Book VI. Proposition 2. Theorem. If a straight line be drawn parallel to one of the sides... | |
 | Samuel H. Winter - 1867 - 468 pages
...tables, (-00645)*; (3) The value of x to two decimal places when i 10x =2-45. 15. Find the area of an isosceles triangle, having each of the angles at the base double of the third angle, one of the equal sides being 12 feet. XV. (a.) 1. How many times is £2 15s. 6d. contained... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
..."Wherefore a circle has been described about the given square. QEF PROPOSITION 10. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it at the point C, so that the rectangle AB, BC... | |
 | E. M. Reynolds - Geometry - 1868 - 172 pages
...this square determines the required point on AB. The proof from m. 11 and III. 12. 8. To construct an isosceles triangle having each of the angles at the base double of the third angle. Take any straight line AB, and divide it so that AB.BC = With centre A and distance AB... | |
 | Robert Potts - 1868 - 434 pages
...parallelograms can circles be inscribed ? 15. 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... | |
 | 1868 - 344 pages
...a circle described about it the area of thii circle is double that of the first circle. S. Describe an isosceles triangle having each of the angles at the base double of the third angle.—Apply this proposition directly to inscribe au equilateral and equiangular decagon in... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
