 | Samuel H. Winter - 1878 - 132 pages
...also the lengths of the sides BL, H L. 15. Divide a straight line AB, 2J in. long, into two parts, in the point C, so that the rectangle AB, BC may be equal to the square on A C. Find, by measurement, the length of the diagonal of the square on A C. 16. Inscribe a circle... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...C, D, and will be described about the square, as was required. PROPOSITION X. PROBLEM. To descrttte 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, so that rect . AB, BC = sq. on AC. II. 11. With centre A and radius... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...the circumference of the second, then this circle passes through the centre of the first circle. 7. Describe an isosceles triangle having each of the angles at the base double of the third angle. If A be the vertex and BD the base of the constructed triangle, D being one of the points of intersection... | |
 | Edward Harri Mathews - 1879 - 94 pages
...which are not at right angles to one another, determine the exact form of the circumscribing figure. 3. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Show that if the points of intersection of the circles in Euclid's figure be joined with the vertex... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...from the extremity, between that straight line and the circumference, so as not to cut the circle. 5. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 6. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides,... | |
 | 1879 - 636 pages
...lengths. If a quadrilateral figure circumscribe a circle, the sums of its opposite sides are equal. 4. Describe an isosceles triangle having each of the angles at the base double of the vertical angle. What use is made of this proposition in Euclid, Book IV. ? 5. Define similar triangles,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...centre, and from the extremities of the radii draw lines touching the circle. Proposition 5. Problem.— To describe an isosceles triangle having each of the angles at the base double the third angle. Draw any circle BDE, and in it any radius AB; divide (V. 23) AB in C in extreme and... | |
 | George Albert Wentworth - 1879 - 196 pages
...AH. .'. AK + KC > 2 AH, or AC> AD. Ex. 3. If through the angles of an isosceles triangle which has each of the angles at the base double of the third angle, and is inscribed in a circle, straight lines be drawn touching the circle ; show that an isosceles... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 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... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...straight line in a given point. (4.) Of the middle points of all equal straight lines in a circle. 8. Describe an isosceles triangle, having each of the angles at the base double of the third angle. If the radius of a circle be cut in extreme and mean ratio, the greater segment will be equal to the... | |
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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
