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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

## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...BCD == 2 right Z s, 6. that ZS DBF + DBE = ZS BAD + BCD, 7- that Z DBE = Z BCD. PROPOSITION XXXIII. Problem. Upon a given straight line to describe a segment of a circle containing an angle equal to a given -^ * K rectilineal angle. The proof of case 1st, in which Z c...

## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...which is an angle in the remote segment ACB. If, therefore, a straight line, &c.f PROP. XXXIII. PROB. UPON a given straight line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle;...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...angle at 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 at C be a right angle : »„ ,• bisect* AB in F, and from the...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...the alternate segment of the circle. Wherefore, if a straight line, &c. Q,. ED PROP. XXXIII. PROB. UPON 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 the...

## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...with the tangent are equal to the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing an angle equal to a given angle. PROP. XXXIV. PROB. To cut off from a given circle a segment...

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

Euclides - Geometry - 1841 - 378 pages
...line, and 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; bisect* AB in F, and from '"*' the centre F,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...angle DBE is equal to the angle BCD in the alternate segment of the circle. J> PROP. XXXIII. PROB. Upon 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 the...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...in the alternate segment of the circle. Wherefore, if a straight line, &c. QED PROP. XXXIII. PROB. UPON 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 the...