| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 - Euclid's Elements - 1806 - 311 pages
...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
...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 - Natural history - 1809
...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
...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 - Euclid's Elements - 1816 - 528 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. 8. Take any straight line AB, and divide* it in the point C, so that the rectangle... | |
| Miles Bland - Geometry - 1819 - 377 pages
...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 - Circle-squaring - 1819 - 333 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. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle... | |
| Miles Bland - Geometry - 1821 - 438 pages
...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 - Geometry - 1822 - 494 pages
...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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