 | Robert Simson - 1806 - Liczba stron: 546
...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... | |
 | John Playfair - 1806 - Liczba stron: 320
...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... | |
 | William Nicholson - 1809 - Liczba stron: 752
...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... | |
 | William Nicholson - 1809 - Liczba stron: 700
...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... | |
 | John Mason Good - 1813 - Liczba stron: 714
...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 - Liczba stron: 588
...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 - Liczba stron: 444
...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 ACE. Join EB, EA; and draw EF perpendicular to AB. Then the angle EAB is double of ECB, and therefore... | |
 | John Playfair - 1819 - Liczba stron: 350
...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... | |
 | Miles Bland - 1821 - Liczba stron: 898
...the sum of the squares of the sides of a regular hexagon and decagon inscribed in the same circle. angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle ВСЕ. Draw CE bisecting the angle ACB. Join ЕВ, EA; and draw EF perpendicular to AB. Then the angle... | |
 | Rev. John Allen - 1822 - Liczba stron: 516
...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... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
