 | John Playfair - 1806 - 320 ページ
...will therefore be described about the square ABCD. Which was to be done, r PROP. X. PROB. TO describe an isosceles triangle, having each of the angles at the base double of the third angle. Book IV. Take any straight line AB, and divide1 it in the point C, a ll- 2so that the... | |
 | Robert Simson - 1806 - 546 ページ
...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. a 11. 2. Take any straight line AB, and divide » it in the point C, so that the rectangle... | |
 | William Nicholson - 1809 - 700 ページ
...to AC, and GF, HK, parallel to BD ; which "•ill give the required square. PROBLEM XXXI. /'" make an isosceles triangle, having each of the angles at the base double that at the summit. Fig. 32. Cut any given line, as AB, into extreme and mean proportions, (as in Problem... | |
 | William Nicholson - 1809 - 752 ページ
...to AC, and GF, H К, parallel to В D ; which will give the required square. PROBLEM XXXI. Tu mate an isosceles triangle, having each of the angles at the base double that at the summit. Fig. S-¿. Cut any given line, as AB, into extreme and mean proportions, (as in... | |
 | John Mason Good - 1813 - 714 ページ
...given iquaie. Prop. IX. Prob. To describe a circle about a given square. Prop. X. Prob. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Prop. XI. Prob. To inscribe an equilateral and equiangular pentagon in a given circle.... | |
 | Euclides - 1816 - 588 ページ
...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. 8. Take any straight line AB, and divide* it in the point C, so that the rectangle... | |
 | Miles Bland - 1819 - 442 ページ
...described on the side of an equilateral and equiangular pentagon inscribed in a circle, is equal to the sum of the squares of the sides of a regular hexagon...describe a circle BCE. Draw CE bisecting the angle ACB. Join EB, EA; and draw EF perpendicular to AB. Then the angle EAB is double of ECB, and therefore... | |
 | John Playfair - 1819 - 350 ページ
...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. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle... | |
 | Rev. John Allen - 1822 - 516 ページ
...D, and is therefore circumscribed about the given square (Def. 4. 4). PROP. X. PROB. To constitute an isosceles triangle, having each of the angles at the base double the vertical angle. Take any right line AB, and divide it in the point C, so that the rectangle ABC... | |
 | Perry Fairfax Nursey - 1824 - 470 ページ
...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... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
