 | John Playfair - 1806 - 320 pagine
...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 - 752 pagine
...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 - 700 pagine
...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 - 714 pagine
...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 - 588 pagine
...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 - 444 pagine
...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 - 442 pagine
...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 - 350 pagine
...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 - 354 pagine
...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 - 516 pagine
...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... 
