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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, ... - Pągina 32
per Robert Gibson - 1808 - 440 pągines
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pągines
...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 A BCD be a...
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Designing Valve Gearing

Edward J. Cowling Welch - 1875 - 240 pągines
...in the enunciation to be, that "in a circle the angle in a semicircle is a rig/lit 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," is the basis upon...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pągines
...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. Let А В be a diameter and А С a chord of a circle, ADBE ; then Л А С В in the semicircle AC...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pągines
...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 ABC be a circle,...
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Annual Report

1876 - 710 pągines
...the algebraical equivalent of this proposition. 6. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and in a segment less than a semi-circle it is greater than a right angle. Show how this follows from...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pągines
...the circumference. SECTION III. 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 angle. The greatest rectangle...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pągines
...by means of the equation to a circle that the angle in a semicircle is a right angle, and that the angle in a segment greater than a semicircle is less than a right angle. 13. Find the equation to the tangent of an ellipse; prove that from a given point two tangents can...
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Examination Papers: Moderations

University of Oxford - 1879 - 586 pągines
...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...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pągines
...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...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 412 pągines
...perpendicular and the obtuse angle. 10. 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. 11. Inscribe an...
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