 | 1882 - 486 pages
...rectilineal figure having a given number of sides T 2. Construct a square equal to a given rectangle 1 . 3. Describe an isosceles triangle having each of the angles at the base double of the vertical angle. What is the problem in which Euclid makes use of this. 4. State Euclid's definition... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...circumference of the described segment; so that the given straight line must not exceed twice AE. 42. To describe an isosceles triangle having each of the angles at the base double of the third angle. This problem is solved in IV. 10 ; we may suppose the solution to have been discovered by such an analysis... | |
 | Patrick M. Egan - 1883 - 212 pages
...triangles iif mean proportional betiretn the other two. EXERCISE 281. A n isosceles triangle is described having each of the angles at the base double of the third angle : if the angles at the base be bisected, and the points where the lines bisecting them meet the opposite... | |
 | Euclides - 1884 - 434 pages
...then the radius of the circumscribed circle will be denoted by PROPOSITION 10. PROBLEM. To dexcribe an isosceles triangle having each of the angles at...third angle. Take any straight line AB, and divide it internally at C so that AB . BC = AC2. II. 11 With centre A and radius AB, describe the 0 BDE, in which... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...and the segments into which the base is divided by the inscribed circle, construct the triangle. 9. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Shew how it is possible to describe within the smaller circle used in the construction a triangle equal... | |
 | James Gow - Mathematics - 1884 - 350 pages
...backwards are a synthetic solution of the problem. Suppose there is only one condition : eg To describe a triangle having each of the angles at the base double of the third angle. Draw an isosceles triangle ABC and assume that j^ the base angles are each double of the vertical angle.... | |
 | John Fry Heather - Scientific apparatus and instruments - 1884 - 566 pages
...Templets, 20. Timber contenting rule, 149 ; measuring instruments, 151. Triangle, construction of isosceles having each of the angles at the base double of the third angle, 50 ; solution of rightangled, 96. Triangular compasses, 62. Tubular compasses, 19. Vernier, 54. Versed... | |
 | John Harris - Geometry - 1884 - 188 pages
...offer a few remarks in favour of its limited admission for certain purposes. PROBLEM M. (HEPTAGON.) To describe an isosceles triangle having each of the angles at the base equal to one and a-quarter of the vertical angle. Take any straight line AB and divide it into seven... | |
 | Education - 1885 - 630 pages
...PD, PE + rect. FQ, QG by the sq. on АО. Therefore the sq. on АО = rect. PD, PE + rect. FQ, QG. To describe an isosceles triangle having each of the angles at the base double of the third angle. Divide a right angle into 5 equal parts. Draw any line AB and divide it at С so that sq. on AC = rect.... | |
 | Oxford univ, local exams - 1885 - 358 pages
...a right angle; and the angle in a segment less than a semicircle is greater than a right angle. 9. Describe an isosceles triangle, having each of the angles at the base double of the third angle. What part of a right angle is each of the angles of the figure in this proposition? WEDNESDAY, JUNE... | |
| |
PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
