 | Perry Fairfax Nursey - Industrial arts - 1824 - 470 pages
...with its small angle turned to each extremity of the line. X — On affinen line, as AB, to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Fig. 9. Bisect the given line AB, perpendicularly (by Prop. III.) by the line С D ; apply 10 of the... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...of the proposition, is shewn the method of describing, upon a given finite straight line as a base, an isosceles triangle, having each of the angles at the base double of the third angle. 25. COR. 3. The figure ABHFMCDGEL being an equilateral and equiangular decagon,... | |
 | Euclides - 1826 - 226 pages
...point E. Deduction. To describe a circle about a given parallelogram. PROPOSITION X. PROBLEM. To make an isosceles triangle having each of the angles at the base double of the remaining angle. Let AB be any given right line, and cut it in the point c, a so that the rectangle... | |
 | Euclid - 1826 - 234 pages
...&c. QEF Deduction. To describe a circle about a given parallelogram. PROPOSITION X. PROBLEM. To make an isosceles triangle having each of the angles at the base double of the remaining angle. Let AB be any given right line, and • 1i. 2. cut it in the point с,a so... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...hence the triangles ABC, abc are similar. / PROPOSITION XIV. PROBLEM. Upon a given base AB to construct an isosceles triangle, having each of the angles at the base double the vertical angle. Produce AB till the rectangle AC-BC may be equal to the square of AB (Prop. XXXII. Cor. B. VI.), then,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. •11.2. Take any straight line AB, and divide* it in the point C, so that the... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double the third angle. a 11.2. Take any straight line AB, and divide* it in the point C, so that the rectangle... | |
 | Euclid - 1835 - 540 pages
...other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double the third angle. • 11.2. Take any straight line AB, and divide1 it in the point C, so that the rectangle... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...EA, describe the circle ABCD : it is (IV. A. cor.) the circle required. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it (II. .11.) in C, so that * In practice,... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...extremities of the other three, and be described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * This is considered the most useful problem in Euclid. Steps of the Demonstration.... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
