...have also 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 a given...

...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 describe a circle,...

...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...

...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...

...describe a circle : the circle ABCD is about the given square. (9. IV.) PROB. 10. To describe an isoecelee triangle Having each of the angles at the base double of the third angle. x"' E — Take any line AB, and, by 11. II., divide it so that the -• rectangle AB . BC shall equal...

...by this 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...

...C, D, and will be described about the square, as was required. Q. is. F. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, BO that rect. AB, BC = sq. on AC. II. 11. With centre A and...

....: OA, OB, OC, OD are all equal; PROPOSITION X. PROBLEM. To describe an isosceles triangle, haeing each of the angles at the base double of the third angle. Take any st. line AB and divide it in C, so that rect. AB, BC=sq. on AC. n. 11. With centre A and radius...

...line. When is the Problem impossible ? 62, To trisect a right angle. 63, On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 64, To construct an isosceles triangle when there are given 1st. The base and opposite...

...line. When is the Problem impossible? 62. To trisect a right angle. 63. On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 64. To construct an isosceles triangle when there arc given 1st. T-he base and opposite...