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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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 144
by Robert Potts - 1876 - 403 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...the angle in a semicircle is a right angle ; but the angle in a legment greater than a semicircle is less than a right angle; and the angle in a segment...angle. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle into the segments ABC, ADC. Join BA,...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...angle in a semicircle is a right angle ; but that 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. ., 40 PROBLEMS. 10. Pivide a right angle into three equal angles. 11. In the base of a triangle, find...
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - Geometrical drawing - 1865 - 338 pages
...at right angles it shall bisect it. Prop. 31. — Theorem. In a circle, the angle in a semicircle is a right angle, but 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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...circumference, that Is, to divide it into two equal parts. Prop. 31. In a circle, the angle in a semicircle is a right angle; but 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...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - Mathematics - 1866 - 426 pages
...the base, and another bisecting the angle at the vertex. 3. In a circle, the angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is &c. 4. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment...than a right angle. Let ABCD be a circle, of which BC is .a diameter and E the centre ; and draw CA, dividing the circle into the segments ABC, ADC, and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the given arc is bisected at DQEF PKOPOSITION 31. THEOREM. In a circle the angle in a semicircle is a right angle; but 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...the angle in a semicircle is a right angle ; lint the angle in a legmenl greater than a semicircle is less than a right angle ; and the angle in a segment...angle. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle into the segments ABC, ADC. Join BA,...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...a right angle ; an angle in a tegment greater than a semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. (Th. 8) ; that is, one half of 180°, or 90°, which is the measure of a right angle. If the angle...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 334 pages
...exhibited. VIII. HIGHER MATHEMATICS. 22af October 1867. 1. In a circle, the angle in a semicircle is a right angle ; but 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...
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