Books Books
The angles in the same segment of a circle are equal to one another.
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Page 81
by Euclid, Robert Simson - 1829 - 516 pages

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...the remaining angle BA C. .. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angles in the same segment of a circle are equal to one another. Let AB CD be a circle, , and BAD, BED angles in the same segment BAED. ' Then the angles BAD, BED shall...

## The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...contained by the whole, and one of the parts, may be equal to the square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting...

## Elementary Geometry, Volume 2

James Maurice Wilson - Geometry - 1868 - 150 pages
...arc of a circle is half of the angle subtended by the same arc at the centre . . . . . . 11 COR. 1. Angles in the same segment of a circle are equal to one another . . . . . . . . . .12 COR. i. If a circle is divided into any two segments by a chord, the angles in...

## Examination Papers for Science Schools and Classes

...and triangles upon the same base and between the same parallels are equal to one another. (10.) 23 5. Angles in the same segment of a circle are equal to one another. *6. Divide a" — SaV + 3aV — a6 by a3 — 3a?x + Sax* — ar>. (10.) 7. Solve the equations : —...

## A Treatise on the Principles and Practice of Levelling: Showing Its ...

Frederick Walter Simms - Leveling - 1870 - 220 pages
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained in the same segment of a circle are e'qual to one another.* The method is as follows : — Place a theodolite at B and another at C, the two terminations of the...

## A TREATISE ON THE PRINCIPLES AND PRACTICE OF LEVELLING

FREDERICK W. SIMMS - 1870 - 174 pages
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained in the same segment of a circle are equal to one another.* The method is as follows :— Place a theodolite at B and another at 0, the two ter* Euclid, Book III,...

## The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...one, and only one, circumference can be drawn (Bk. II. Prop. 5, Cor.) ; let this be BPC. Because the angles in the same segment of a circle are equal to one another, if any point Q, different from P, be taken in the circumference BPC, the angle BQC will be equal to...

## Mathematical Instruments: Their Construction, Adjustment, Testing ..., Volume 1

John Fry Heather - Drawing instruments - 1871 - 236 pages
...may be accomplished without travelling beyond the limits of the drawing board. By Euclid iii. 36, the angles in the same segment of a circle are equal to one another, and the property demonstrated in this theorem has already been applied in the construction of the centrolinead,...