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" 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 angle. "
Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ... - Page 90
by Euclid, John Keill - 1733 - 397 pages
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...circumference is bisected in D. Which was to be done. PROPOSITION XXXI. THEOU. 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...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...circumference, upon the same base, that is, upon the same part of the circumference. 13. 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...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...base, that is, upon the same part of the circumference. 12. PROP. XXXI. — 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...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...same base, that is, upon the same part of the circumference. PHOP. XXI. — 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...Therefore the given arc ADB is bisected in D. Q EF PROPOSITION XXXI. 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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...the one more remote ; and the greater is nearer to the centre than the less. 2. 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...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...single degrees cannot be performed by Euclid's Geometry. РROP. 31. — THEOR. 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...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...square on the straight line which is made up of the half and the part produced. 3. 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. 4. To describe an equilateral and equiangular...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...— Therefore, the given arc is bisected in D. QEF PROPOSITION 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...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pages
...is a parallelogram of which two sides are parallel to two sides of AB CD. 4. 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...
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