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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 78
by Euclid, John Playfair - 1846 - 317 pages
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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
...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 in a given triangle. Section 4. 1. Define the sine and the tangent of an angle....
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848 - 520 pages
...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, angles, whether at the centres or circumferences, have the same ratio which the...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 394 pages
...are equal to 2 right angles, .'. /_ ABC + /_ ADC = 2 right angles but ABC Z_ a right angle .'. ADC in a segment less than a semicircle is greater than a right angle. 8. \E ABCD and HLM are two equal circles, their centres being 0, G. AOB and HGK are two angles at the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...equal (4. 1.) to the base BD. But equal straight lines cut off equal arcs, (28. 3.) the greater j\ CB equal to the greater, and the less to the less ; and...than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and centre E ; draw CA dividing the circle into the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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...circle, of which the diameter is BC, and centre E ; and draw CA dividing the circle into the segments ABC, ADC, and join BA, AD, DC ; the angle in the...
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The Calendar of King's College, London

1850 - 400 pages
...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 isosceles triangle, having each of the angles at the base double of the third angle....
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...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 greatest rectangle that can be inscribed in a circle is a square. 4. Cut off a segment from a given...
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Papers for the schoolmaster, Volumes 1-6

582 pages
...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 in a given triangle. ALGEBRA. SECTION II. 1 . Add together ax — l> y, x +...
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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
...the angle ADB is less than half a semicircle, and consequently less than a right angle. Cor. 4. An angle in a segment less than a semi-circle is greater than a right angle, for since the arc AEG is greater than a semi-circle, its half, which is the measure of the angle ABC,...
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Five Years in an English University, Volume 2

Charles Astor Bristed - 1852 - 470 pages
...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. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides,...
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