 | 582 pages
...The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line- describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 5. The circumference of one circle is equal to the diameter of another ; show that... | |
 | Euclid - Geometry - 1853 - 176 pages
...lines ED and BC are parallel (d). PROPOSITION XXXIII. PROBLEM. — On a given finite straight line (AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (C). Let the given angle be a right angle : — SOLUTION. Bisect AB in F (a), and... | |
 | Thomas Lund - Geometry - 1854 - 522 pages
...137- PROP. XL. To draw a tangent to a given circle which shall also make with a given straight line an angle equal to a given angle. Let AB be the given straight line; take any point C in AB, and from C draw CD making with AB an angle equal to the given angle (105).... | |
 | Robert Potts - 1855 - 1050 pages
...equal to 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 AE, and DF cut one another... | |
 | Euclides - 1855 - 262 pages
...line, and С the given rectilineal angle. It is required to describe upon the given straight line AB, a segment of a circle, which shall contain an angle equal to the angle С. First, let the angle С be a right angle. Bisect AB in F (L 10), and from the centre... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...the 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 joined so as to form a triangle,... | |
 | William Pease - 1856 - 108 pages
...of the first triangle. PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given straight line. 1. Make BAC equal to the given angle. 2. Make the angle ABC equal to the angle BAG. Draw AD and BD... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...a given point, either without or in the circumference, which shall touch a given circle. 6. I. 1 , on a given straight line, to describe a segment of a circle containing an angle equal to a given rectilineal angle. If two equal circles touch each other externally... | |
 | Horatio Nelson Robinson - Navigation - 1858 - 356 pages
...(th. 9, b. 3), and (th. 4, b. 3). PROBLEM 13. On a given line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given line, and C the given angle. At the ends of the given line, make angles DAB, DBA, each equal to the... | |
 | War office - 1858 - 578 pages
...one part, shall be equal to the square of the other part. 2. Upon a given straight line describe the segment of a circle which shall contain an angle equal to a given rectilineal angle, the given rectilineal angle being less than a right angle. VOLUNTARY PORTION. 1.... | |
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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. 
