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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.
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Σελίδα 40
των Robert Gibson - 1806 - 452 σελίδες
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## A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
...right angle ; the angle in a segment less than a semicircle is greater than a right angle ; and the angle in a segment greater than a semicircle is less than a right angle. C. For the proof of this proposition what ascertained facts of circles are needed ? State also a corollary...

## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...together equal to two right angles. 5. In a circle, 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 Jess than a semicircle is greater than a right angle. 6. If from any point...

## Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 453 σελίδες
...one half of the same arc Hence the theorem. THEOREM IX. An angle in a semicircle is a right angle ; an angle in a segment 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,...

## A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...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 a semicircle is greater than a right angle. ABC is a triangle...

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

Robert Potts - 1860 - 361 σελίδες
...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 a semicircle is greater than a right angle. Let ABCD be a circle,...

## Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...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 a semicircle is greater than a right angle. 13. ABC is a triangle...

## Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...circumference. PEOP. XXXI. — In a circle, the angle in a semicircle is a right angle ; but the angle is 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. ABC is a triangle...

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...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 a semicircle is greater than a right angle. 10 DIRECT COMMISSIONS....

## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...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 a semicircle is greater than a right angle. COTS. 10, I. Psts....

## Report on the examination for admission to the Royal military academy at ...

...fourth converging fraction to VJI . • 7. In a circle 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. If two chords AB,...