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Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle.
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Page 396
by Robert Mudie - 1836 - 496 pages

## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...B4C is equal to the angle ADC in the alternate segment ADC. ED. B « PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle ; that is, to describe a segment such that all the angles described in it shall be...

## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...ingenuity, in problems of contact. PBOP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because the angle А В С is equal...

## First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...tangent, touching the circles on opposite sides. The demonstration is the same as the last. PROBLEM XVI. Upon a given straight line to describe a segment of a circle, which shall contain a given angle ; that is, a segment, such that the inscribed angles, having their vertices in the arc...

## A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...integrals of x*dm, y-dm, and xydm for the whole spheroid being given. TRINITY COLLEGE, MAY 1830. 1. UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. 3x~ — 2xy — if1 2. Reduce the fraction...

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...segment of the circle. Wherefore, if a straight line, &c. QBD /> PROPOSITION XXXIII. See N. PROR. — Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C...

## An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...tangent, touching the circles on opposite sides. The demonstration is the same as the last. PROBLEM XVII. Upon a given straight line to describe a segment of a circle, which shall contain a given angle ; that is, a segment, such that the inscribed angles, having their vertices in the arc...

## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...ingenuity, in problems of contact. PROP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because the angle А В С is equal...

## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...right angle ; and an angle in a segment greater than a semicircle is always less than a right angle. The difference of the angle from a right angle is...in a given line, an angle equal to a given angle. CONSTRUCTING AN ANGLE. 397 This is nearly self-evident : let A be the angle, and 11 the point in the...