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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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 79
by Euclides - 1816 - 528 pages
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The English Journal of Education, Volume 4

Education - 1850
...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...less than a semicircle is greater than a right angle. 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. SECTION II.—Solve...
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Minutes of the Committee of Council on Education, with Appendices, Volume 2

Great Britain. Committee on Education - 1850
...triangle is bisected by the straight line drawn 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. — Prove it ; and find the area of a segment of a circle containing 60, whose radius is 10 feet....
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850
...a 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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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 173 pages
...equal to the square, find the other side. 3. 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 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

...omitted it ? 2. A segment of a circle being given, describe the circle of which it is the segment. 3. In a circle, the angle in a semicircle is a right...than a semicircle is less than a right angle ; and t'ne right angle in a segment less than a semicircle is greater than a right angle. State the converse...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 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 less than a right angle; thus ADB is measured by half the arc AB, but as the arc AB is less than a semi-circle, the arc AB or...
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Five Years in an English University, Volume 2

Charles Astor Bristed - 1852
...angle at the circumference, upon the same base, that is, upon the same part of the circumference. 5. In a circle, the angle in a semicircle is a right...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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...DC : the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...AD, DC: the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. 3omAE, and produce...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...ad, dc; the angle in the semicircle bac is a right angle ; and the angle in the segment abc, which is greater than a semicircle, is less than a right angle ; and the angle in the segment adc, which is less than a semicircle, is greater than a right angle. Join ae, and produce...
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