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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 ... - Strona 80
autor: John Playfair - 1855 - Liczba stron: 318
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...different combinations that may be made of n different things, taking r of them together. SECTION III. 1. In a circle the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. 2. Describe a circle in a given triangle. 3. Similar triangles are to each other in the duplicate ratio...
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Minutes of the Committee of Council on Education, with Appendices, Tom 1

Great Britain. Committee on Education - 1848
...squares of the sides of the parallelogram. 3. In a circle, the angle in a semicircle is a right anyle ; but the angle in a segment greater than a semicircle is less than a right angle, and llie angle in a segment less than a semicircle is greater than a right angle. 4. To describe a circle...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848
...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - Liczba stron: 108
...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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The Calendar of King's College, London

1850
...from the centre; and those which are equally distant from the centre are equal to each other. • ,. In a circle, the angle in a semicircle is a right...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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The English Journal of Education, Tom 4

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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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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Minutes of the Committee of Council on Education, with Appendices, Tom 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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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - Liczba stron: 173
...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, Tomy 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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