 | George Albert Wentworth - 1877 - 436 pàgines
...chords, that which is nearer the centre is greater than the one more remote. 3. If through the vertices of an isosceles triangle which has each of the angles...circle, straight lines be drawn touching the circle ; show that an isosceles triangle will be formed which has each of the angles at the base one-third... | |
 | George Albert Wentworth - 1877 - 416 pàgines
...chords, that which is nearer the centre is greater than the one more remote. 3. If through the vertices of an isosceles triangle which has each of the angles...third angle, and is inscribed in a circle, straight linos be drawn touching the circle ; show that an isosceles triangle will be formed which has each... | |
 | James Hamblin Smith - 1877 - 244 pàgines
...qflff. Take the figure and construction used by Eucl. iv. 10 in describing an isosceles triangle having each of the angles at the base double of the third angle. Hence LBAD=\ot 2 rt. L' = \ of IS0^se°. 6 6 Bisect BAD by AE, which will bisect BD at right angles.... | |
 | 1878 - 228 pàgines
...square subtends a right angle at the centre of the circle. 7. Construct an isosceles triangle, having each of the angles at the base double of the third angle. If ABC be such a triangle, where A is the less angle, and if from A AD be drawn, so that the angle... | |
 | George Albert Wentworth - 1879 - 196 pàgines
...the chord AC at A'. ^^' > ^/f (§ 52), still more is KC > AH. .'. AK + KC > 2 AH, or AC> AD. Ex. 3. If through the angles of an isosceles triangle which...circle, straight lines be drawn touching the circle ; show that an isosceles triangle will be formed which has each of the angles at the base one.third... | |
 | Edward Harri Mathews - 1879 - 94 pàgines
...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 - 1879 - 414 pàgines
...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,... | |
 | Isaac Sharpless - 1879 - 282 pàgines
...describe a regular decagon in it. Construct (VI. 5) the isosceles triangle DAB on the radius DA, having each of the angles at the base double of the third angle. Because each of the angles DAB, DBA is double ADB, the two together are four times the angle ADB, and... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pàgines
...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... | |
 | Isaac Todhunter - 1880 - 426 pàgines
...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... | |
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To describe an isosceles triangle having each of the angles at the base double of the third angle. 
