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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 Theory and Practice of Surveying: Containing All the Instructions ... - Σελίδα 52
των Robert Gibson - 1814 - 508 σελίδες
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...BC is equal (I. 7) to EF. Proposition 21. 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; and the angle in a segment less than a semicircle, is greater than a right angle. ADC, and join BA,...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...Q will be in one straight line. 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. If two chords of...

Examination Papers: Moderations

University of Oxford - 1879
...Inscribe a circle in a given square. 8. 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. 9. Draw a straight...

American Practical Navigator

1880
...AB, are ei/ttat to each other ; for they are all measured by the same arc, viz. half the arc AR XLH. An angle in a segment greater than a semicircle is less than a right angle. Thus, if ABC be a segment greater than a semicircle, the arc AC on which it stands must be less than a semicircle,...

Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...= three times the triangle ABC. 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 : and the angle in a segment less than a semicircle is greater than a right angle. 4. What condition...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 σελίδες
...bisected at DQEF 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 a semicircle is greater than a right angle. Let ABCD be a circle,...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...manner, by drawing a straight line from the point A, within the angle BAC, it may be shown that the angle in a segment greater than a semicircle is less than a rigbt angle. l,-Itrase. — To draw a perpendicular to a straight line from one of its extremities...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882
...will be touched by another circle. 3. In a circle, the angle in a semicircle is a right angle, and 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 greatest rectangle...

The Practice of Navigation: And Nautical Astronomy

Henry Raper - 1882 - 910 σελίδες
...IK aa diameter, the angle at M, a point on the circumference, is the angle in a semicircle. 142. The angle in a segment greater than a semicircle is less than a right angle. The segment BAG of the circle being greater than a semicircle, the other segment BDC must be less than...

The Competitor, Τόμοι 3-4

1883
...centre of a circle is double the angle at the circumference standing on the same arc. Deduce that the angle in a segment greater than a semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, if a straight line touch a circle and...




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