 | 1865 - 276 σελίδες
...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... | |
 | Euclides - 1865 - 402 σελίδες
...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... | |
 | Samuel H. Winter - 1867 - 468 σελίδες
...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.... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
..."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... | |
 | Benjamin Greenleaf - 1868 - 340 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... | |
 | E. M. Reynolds - 1868 - 172 σελίδες
...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...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... | |
 | 1868 - 344 σελίδες
...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... | |
 | Benjamin Greenleaf - 1869 - 516 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 AC X BC shall be equivalent... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles triangle having each of the angles at the base double the third angle. 5. In right angled triangles, the rectilineal figure described upon the side opposite... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
