...another square will be formed whose area = twice that of the given square. PROPOSITION 10. PROBLEM. To describe an isosceles triangle having each of the angles at the base double the third angle. Take any st. line AB ; divide it at C so that rect. AB, BC = sq. on AC. [II. n. With...

...4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Describe an isosceles triangle having each of the angles at the base one-third part of the remaining angle. 5. If the vertical angle of a triangle be bisected by a straight...

...produced, the exterior angle is equal to the opposite angle of the quadrilateral. 4. Describe an isoseles triangle having each of the angles at the base double of the third angle. 5. The sides about the equal angles of triangles which are equiangular to one another are proportionals...

...angle equal to the difference of the angles in the segments cut off by the chord of contact. 4. (a) To describe an isosceles triangle having each of the angles at the base double of the third angle. (6) Divide a right angle intone equal parts. ARITHMETIC. Time, 2 krs. 1. Divide .14 by 7; 140 by .07,...

...angle equal to the difference of the angles in the segments cut off by the chord of contact. 4. (a) To describe an isosceles triangle having each of the angles at the base double of the third angle. (b) Divide a right angle intone equal parts. ARITHMETIC. Time, 2 hra, 12 1. Divide .14 by 7; 140 by...

...GEOMETRYANDMENSURAT@ON. Ti 打 ぱ ， ヨ 九 ０ は Ⅰs ・ 12345 Inscribe a circle in a given triangle. Describe an isosceles triangle having each of the angles at the base double of the third angle. Divide a given straight line into two parts such that the square on one of them may be double the square...

...by AH and CP, its perpendicular distance from C. Show that the locus of P is a circle. 4. Construct an isosceles triangle having each of the angles at the base double of the angle at the vertex, and show how to divide the circumference of a circle into fifteen equal parts....

...the triangle constructed in this proposition is equal to a fifth of two right angles. EXERCISES. 1. Describe an isosceles triangle having each of the angles at the base one third of the vertical angle. 2. Divide a right angle into five equal parts. 3. In the figure of...

...angle equal to the difference of the angles in the segments cut off by the chord of contact. 4. (a) To describe an isosceles triangle having each of the angles at the base double of the third angle. 12 (b) Divide a right angle intone equal parts. 100 ARITHMETIC. Time, IS hrs. 12 1. Divide .14 by 7...

...serving no purpose. Thus there is neither setting-out nor definition in the problem of constructing an isosceles triangle having each of the angles at the base double of the remaining angle, and in most theorems there is no construction because the setting-out suffices without...