| Education, Higher - 1882 - 498 pages
...their centres being produced will pass through that point of contact. 10. Upou a given straight line **describe a segment of a circle which shall contain an angle equal to a** rectilineal angle. 11. From a given point without two indefinite straight lines given in position which... | |
| College of preceptors - 1882 - 528 pages
...are not diameters, that which is nearer to the centre is greater than that which is more remote. 6. **On a given straight line to describe a segment of a circle** that shall contain an angle equal to a given rectilineal angle. On the sides AO, AB of a triangle ABO,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...the alternate segment of the circle. "Wherefore, if a straight line &c. QED PROPOSITION S3. PROBLEM. **On a given straight line to describe a segment of a circle,** containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the... | |
| Mathematical association - 1883 - 86 pages
...PROB. 8. About a given circle to circumscribe a triangle equiangular to a given triangle. PROB. 9. **On a given straight line to describe a segment of a circle** containing a given angle. PROB. 10. From a given circle to cut off a segment containing a given angle.... | |
| Euclides - 1884 - 434 pages
...this proposition is a particular case either of III. 21, or of III. 22, Cor. PROPOSITION 33. PROBLEM. **On a given straight line to describe a segment of...a given angle. Let AB be the given straight line,** LC the given angle : it is required to describe on AB a segment of a circle which shall contain an... | |
| Euclides - 1884 - 182 pages
...draw a straight line from a given point in a given straight line, which shall make an angle with it **equal to a given angle. Let AB be the given straight line,** A the given point in it, and DCE the given angle. It is required to draw from A a straight line which... | |
| Euclides - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line ( AB) **to describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line (AB) **to describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... | |
| Thomas Henry Eagles - 1885 - 404 pages
...straight lines 37 \ To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. **On a given straight line to describe a segment of a circle which shall contain** a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two... | |
| Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...straight lines 37 29. To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. **On a given straight line to describe a segment of a circle which shall contain** a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two... | |
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