 | John Playfair - 1806 - Liczba stron: 320
...three, and 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 rectangle AB.BC... | |
 | 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
...circle in a 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. Prop. XII. Prob.... | |
 | Euclides - 1816 - Liczba stron: 588
...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, 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 AB, BC be... | |
 | Miles Bland - 1819 - Liczba stron: 444
...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.... | |
 | Miles Bland - 1819 - Liczba stron: 442
...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.... | |
 | John Playfair - 1819 - Liczba stron: 350
...the angles BOA, DBA is double of the angle DAB ; wherefore an isosreles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. " COR. 1. The angle BAD is the fifth part of two right angles. " For since each... | |
 | John Playfair - 1819 - Liczba stron: 354
...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... | |
 | 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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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
