 | Basil Jackson - Military reconnaissance - 1847 - 410 pages
...depend, however, upon a single geometrical problem, namely, that by which we are enabled upon a given line to describe a segment of a circle, which shall contain a given angle. That this is necessary the following observations will show : — Two objects can only be seen under... | |
 | Euclides - 1848 - 52 pages
...to the angles which are in the alternate segments of the circle. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. PROP. XXXIV. PROBLEM. From a given circle, to cut off... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...triangle, all meet in the same point, viz., the center of the inscribed circle. FROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From the point C, where... | |
 | Education - 1851 - 502 pages
...equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 2. To describe a square which shall be equal to a given... | |
 | Euclides - Geometry - 1853 - 334 pages
...DBE to the angle in the alternate segment DOB. Which was to be proved. PEOP. XXXIII. PEOB. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line, and c the given angle. It is required... | |
 | Robert Potts - 1855 - 1050 pages
...the square of the straight lin« »hich is made up of the half and the part produced. 6. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. .7. Two circles ASCD, EBCF, having the common tangents... | |
 | Euclides - 1855 - 270 pages
...joins the points of contact of parallel tangents is a diameter. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and С the given rectilineal... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...circle, shall be equal to the angles which are in the alternate segments of the circle. 11. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. If any three points in the circumference of a circle be... | |
 | Eucleides - 1860 - 396 pages
...segment of a circle being given, to describe the circle of which it is a segment. On a given finite straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. To cut off from a given circle a segment which shall contain... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...circle. (i. 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 shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle C the... | |
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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 
