Books Books Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 119
by Euclides - 1853 ## Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...tegmeiits of a circle. Define also ñmilar polygons. Are the two definitions in any way related ¡ 5. On a given straight line to describe a segment of...which shall contain an angle equal to a given angle. — Euclid III., 33. Explain the practical use of this problem. 6. Give Euclid's definition of proportion,... ## Elementary geometrical drawing, Part 1

Samuel H. Winter - Geometrical drawing - 1859 - 56 pages
...consequently the centre of the circle PQR, passing through the points P, Q, R (Euc. in. 9). PROBLEM X. Upon a straight line to describe a segment of a circle which shall contain a given angle. Let MN (PI. II. Fig. 4) be the given line, B the angle. 1. If B be a right angle, upon... ## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...side together equal to two right angles. VOLUNTARY PORTION. 1. Upon a given straight line describe the segment of a circle which shall contain an angle equal to a right angle and a half. If (2a) be the length of the given line, find the radius of the circle. 3.... ## The Elements of Euclid with Many Additional Propositions and Explanatory Notes

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 an angle equal to a... ## Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 472 pages
...be tangent to the circle. tie PROBLEM XIII. 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, form angles DAB, DBA, each equal to the... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...the angle C 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 C. First, let the angle C be a right angle. H Bisect AB in F, (i. 10.) and from the center... ## A course of geometrical drawing

William Schofield Binns - 1861 - 206 pages
...line AB is divided in E into extreme and mean ratio, ie, AB is to AE, as AE is to E B. PROBLEM 14. On a given straight line, to describe a segment of a circle which shall contain an angle less than a right angle. Let AB be the given straight line. Make BA c equal to the given angle. Bisect... ## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

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. l & 3.... ## Examination papers used at the examinations for direct commissions [&c.].

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... 