 | Cambridge univ, exam. papers - 1856 - 200 pages
...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...containing an angle equal to a given rectilineal angle. If two equal circles touch each other externally and two lines be drawn through the points of contact,... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...angle DBE is equal to the angle BCD in the alternate segment of the circle. T> PROP. XXXIII. PROS. Upon a given straight line to describe a segment of a circle, containing , angle equal to a given rectilineal angle. A. Let AB be the given straight line, and the angle at... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...touching 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... | |
 | Euclides - 1858 - 248 pages
...at B, 11. I., draw a right angle : BA is the tangent from B. PROB. 6. Upon a given straight line AB, to describe a segment of a circle containing an angle equal to C, a given rectilineal angle. At A, 23. I., make the angle BAD equal to angle C ; and, 11. I., at A... | |
 | Euclides - 1860 - 288 pages
...therefore the remaining angle DBE is equal to the angle BCD in the alternate segment of the circle. Upon a given straight line to describe a segment of...containing an angle equal to a given rectilineal angle. Given the straight line AB, and the rectilineal angle at C; %, it is required to describe upon the... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...alternate segment of the 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,... | |
 | War office - 1861 - 714 pages
...touching the circle shall be equal to the angles which are in the alternate segments of the circle. 2. On a given straight line to describe a segment of a circle...containing an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1 . If two similar parallelograms have a common angle and be similarly situated,... | |
 | Euclides - 1861 - 464 pages
...tangent and secant, and the angles in the alternate segments of the circle. PROP. 33. — Рвoв. Upon a given straight line to describe a segment of a circle, which ¡«hall contain an angle equal to a give< rectilineal angle. SOL. 10, 1. 23, 1. 11, I. Pst.... | |
 | Euclides - 1862 - 172 pages
...circle. (ax. 3.) Wherefore, if a straight line, &c. QED THE SCHOOL EUCLID. [BOOK m. PROP. XXXIII.— PROBLEM. Upon a given straight line to describe a...containing an angle equal to a given rectilineal angle. (References— Prop. i. 4, 10, 11, 23, 31 ; Hi. 16 cor., 31, 32.) Let AB be the given straight line,... | |
 | Euclides - 1864 - 448 pages
...B, CQEF PROPOSITION XXIII. PROBLEM. At a given point in a given straight line, to mahe a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A the given point in it, and DCE the given rectilineal angle. It is required, at the given point A... | |
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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... 
