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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 94
by Euclides - 1841
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 388 pages
...six persons. Here re = 6 and r — 3 So that 1.2.3. ~ 1.2.3 = 20. n 0—1) (n—2) 6X5X4 angle, but the angle in a segment greater than a semicircle is...than a semicircle is greater than a right angle." See Euclid iii. 31. 2. " Describe a circle in a given triangle." See Euclid iv. 4. Tate's Geometry...
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Report of the Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - Education - 1848
...parallelogram is double of the triansle. 3. In a circle, the angle in a semicircle is a right anile; but the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. 4. To describe a circle in a given square. 0. Ratios that are equal to the same ratio are equal to...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...two 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 semicircle is greater than a right angle. PROP. XXXII. THEOREM. If a straight line touch a circle, and from the point of contact a straight line...
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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
...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 - 396 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
...in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less then a right angle ; and the angle in a segment less than...circle, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC, ADC, and join BA, AD, DC ; the angle in the semicircle...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 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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The Calendar of King's College, London

1850 - 398 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 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, 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...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 ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 914 pages
...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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