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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, ... - Page 32
by Robert Gibson - 1808 - 440 pages
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...r of them together. 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. 2. Describe a circle...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1848 - 514 pages
...the sides of the parallelogram. 3. In a circle, the angle in a semicircle is a right anirlo ; 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. To describe a circle...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...equal parts. PROP. 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. PROP. XXXII. THEOREM....
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848 - 520 pages
...together greater than the third side. 7. 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. 8. In equal circles,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...was to be done. PROP. XXXI. 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. Let A BCD be a....
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...Mention the corollary to this theorem. 2. In a circle, the angle in a semicircle is a right angle; but an 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. 3. Similar triangles...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 pages
...triangle is bisected by tbe straight Uac 4 from the vertex bisecting the base of the triangle. 7. The angle in a segment greater than a semicircle is less than a right angle — 1 it ; and find the atea of a segment of a circle containing 60°, whose radiui it 10 8. The two...
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The Calendar of King's College, London

1850 - 400 pages
...centre are equal to each other. • ,. 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. 6. To describe an...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...each other or they are all measured by hp1P the arc they stand on, viz. by half the arc AB. Cor. 3. An angle in a segment greater than a semicircle is...AB, but as the arc AB is less than a semi-circle, the arc AB or the angle ADB is less than half a semicircle, and consequently less than a right angle....
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Papers for the schoolmaster, Volumes 1-6

582 pages
...the angle in a segment of a circle. Prove that the angle in a semicircle is a right angle, whilst 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, H>. Inscribe .1 circle...
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