| John Playfair - Euclid's Elements - 1806 - 311 pages
...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
...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
...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 - 528 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, 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 - Euclid's Elements - 1819 - 377 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.... | |
| Miles Bland - Euclid's Elements - 1819 - 377 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.... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...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 - 317 pages
...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... | |
| Euclid, Rev. John Allen - Astronomy - 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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