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The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 94
by Euclides - 1841 - 351 pages

## Examinations Papers

1889 - 584 pages
...point without a circle a straight line touching the circle. 9. The angle in a semicircle is a right angle, the angle in a segment greater than a semicircle...less than a semicircle is greater than a right angle. ENGLISH. The Board qf Examiner*. Vote.— Fay particular attention to the spelling: and punctuation...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...that the chords so intercepted in each circle may be equal. 7. The angle in a semicircle is a right angle, the angle in a segment greater than a semicircle...less than a semicircle is greater than a right angle. When are segments of circles said to be similar? If two circles touch each other externally, any straight...

## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...(See Ex. 347.) PROPOSITION 31. THEOREM. In a circle the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle...semicircle is greater than a right angle. Let ABCD be a 0 of which BC is a diamr. and E the centre, and let CA be drawn dividing the 0 into segts. ABC, ADC....

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...part of the circumference, of a circle. PROPOSITION 31. THEOREM. Tlie amJle in a semicircle is a right angle : the angle in a segment greater than a semicircle...than a right angle. Let ABCD be a circle, of which BC is a diameter, and E the centre; and let AC be a chord dividing the circle into the segments AB(3,...

## Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...in a segment greater than a semicircle is lens than a right angle. 229. Cor. IV. An angle \nscribed in a segment less than a semicircle is greater than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal...

## Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...227. Cor. II. An angle inscribed in a semicircle is a right angle. 228. Cor. III. An angle inscribed in a segment greater than a semicircle is less than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal...

## A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...properties of a tangent to a circle. PROPOSITION 31. THEOREM. The angle in a semicircle is a right angle. The angle in a segment greater than a semicircle is less than a right angle. The angle in a segment less than a semicircle is greater than a right angle. F/ Let ABCD be a circle,...

## Plane Geometry

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...one-half of the semi-circumference AEC (Th. XVIII.). COR. 2 — Any tingle, as ABC, ADC, etc., inscribed in a segment greater than a semi-circle, is less than a right angle. For it is measured by less than onehalf of a semi-circumference. COR. 3. — Any angle, AEC, inscribed...