| Euclides - 1863 - 122 pages
...&c. QED PEOP. XXXIII. (PnOELEM.)— Upon a given straight line(\B) to describe rectilineal angle (C). **a segment of a circle, which shall contain an angle equal to a given** Bisect AB inF (I.10), and from the centre F, at the distance FB, de ;cribe the semicircle AH B. Because... | |
| Euclides - 1864 - 262 pages
...alternate segment of the circle. (l. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. **PROBLEM. Upon a given straight line to describe a segment of a circle, which** thali contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
| Woolwich roy. military acad - 1864 - 588 pages
...with a radius of 1^ inches, and then describe an equilateral and equiangular pentagon about it. 7. **Describe a segment of a circle which shall contain an angle equal to** one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide... | |
| Euclides - 1864 - 448 pages
...triangles ADE, ADC may be shewn to be equal. 44. Let A, B, be the given points. Join AB, and upon it **describe a segment of a circle which shall contain an angle equal to** the given angle. If the circle cut the given line, there will be two points; if it only touch the line,... | |
| Robert Potts - 1865 - 528 pages
...Join TO, VO and prove TOY a straight line. 68. Let A, B, be the given points. Join AB, and upon it **describe a segment of a circle which shall contain an angle equal to** the given angle. If the circle cut the given line, there will be two points ; if it only touch the... | |
| Euclides - 1865 - 402 pages
...alternate segment of the circle. (ax. 3.) Wherefore, if a straight line, ftc. QED PROP. XXXIII — **PROBLEM. Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. (References— Prop. I. 4, 10, 11, 23, 31 ;... | |
| Architecture - 1865 - 276 pages
...to the angles which are in the alternate segments of the circle. Shew from this how to describe the **segment of a circle which shall contain an angle equal to a given** rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...pass through the point of contact. (Take the case of external contact.) 9. On a given straight line **describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle. Hence describe a triangle of given base, area, and vertical angle. 10. Show how... | |
| Robert Potts - 1868 - 434 pages
...triangles ADE, ADC may be shewn to be equal. 44. Let A, B, be the given points. Join AB, and upon it **describe a segment of a circle which shall contain an angle equal to** the given angle. If the circle cut the given line, there will be two points; if it only touch the line,... | |
| Edinburgh univ - 1868 - 336 pages
...half the line bisected, and of the square of the line made np of the half and the part produced. 6. **Upon a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. 7. To inscribe a circle if! a given square,... | |
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