| Robert Simson - Trigonometry - 1806 - 546 pages
...extremities of the other three, and be described about the square ABCD. Which was to be done. : • '-) PROP. X. PROB. TO describe an isosceles triangle,...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 AB, BC be... | |
| John Playfair - Mathematics - 1806 - 320 pages
...of the other three, and will therefore be described about the square ABCD. Which was to be done, r PROP. X. PROB. TO describe an isosceles triangle,...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 rectangle AB.BC... | |
| William Nicholson - Natural history - 1809 - 700 pages
...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 pages
...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... | |
| Euclides - 1816 - 588 pages
...through the extremities of the other three, and be described about the square ABCD. Which was to be done. PROP, X. PROB. To describe an isosceles triangle,...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 AB, BC be... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...the extremities of the other three, and be described about the square ABCD. 'Which was to be done. PROP. X. PROB. To describe an isosceles triangle,...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 AB, BC may... | |
| John Playfair - 1819 - 354 pages
...extremi. ties of the other three, and be described about the square . Which wa« to be donp. 2f>' O, 4 PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the bast double of the third angle. Take any straight line AB, and divide (II. 2.) it,in the point C, so... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...the squares of the sides of a regular hexagon and decagon inscribed in the same circle. Let ABC be an isosceles triangle having each of the angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle BCE. Draw CE bisecting the angle ACB.... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...the squares of the sides of a regular hexagon and decagon inscribed in the same circle. Let ABC be an isosceles triangle having each of the angles at the base double of the angle at A. With the centre A, and radius AB, describe a circle BCE. Draw CE bisecting the angle ACE.... | |
| Rev. John Allen - Astronomy - 1822 - 516 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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