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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 70
autor: John Playfair - 1855 - Liczba stron: 318
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - Liczba stron: 228
...vertices are concyclic . . 258 AC. 4. — (i) Any angle in a semicircle is a right angle, (ii) Any angle in a segment greater than a semicircle is less than a right angle, (iii) Any angle in a segment less than a semicircle is greater than a right angle .... (Euc. III. 31)...
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Annual Report of the Association of Ontario Land Surveyors, Tom 17

Association of Ontario Land Surveyors - 1909 - Liczba stron: 254
...with the square on the aforesaid part. 6. In a circle the ano.le in a semi-circle is a right ano.le ; but the angle in a segment greater than a semi-circle...than a semi-circle is greater than a right angle. 7. The straight line drawn at right angles to the diameter of a circle from the extremity of it, falls...
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Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - Liczba stron: 605
...on the same side of it, the four points lie on 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 opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse....
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The Melbourne University Calendar

University of Melbourne - 1909 - Liczba stron: 984
...on the same side of it, the four points lie on a circle. The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is...and the angle in a segment less than a semicircle is gi-eater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary;...
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Annual Report, Tomy 2-3

Civil Service Commission of Canada - 1910 - Liczba stron: 240
...square on a side of the triangle by the rectangle contained by the segments of the base. 5. In a circle the angle in a segment greater than a semicircle is less 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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Annual Calendar of McGill College and University

McGill University - 1883 - Liczba stron: 404
...together with the square on the other part. 9. In a circle, the angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is...angle in a segment less than a semicircle is greater thnn a right angle. 10. Describe a rectilineal figure which shall be similar to one, and equal to another...
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Calendar

University of Allahabad - 1911 - Liczba stron: 726
...the same side of it, the four points lie on a circle. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right Jingle, and the angle in a segment less than a semi-circle is greater than a right angle. The opposite...
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Special Reports on Educational Subjects, Tomy 26-27

Great Britain. Board of Education - 1912 - Liczba stron: 1044
...same side of it, the four points lie on a circle. 32. 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. 33. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse....
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Calendar of the University of Sydney

University of Sydney - 1912 - Liczba stron: 1050
...that the angles BCE, BCD, DCA are all equal. 7. Prove that 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. 8. Find the loeus of the middle points of chords of a circle, which pass through a given point. 9....
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - Liczba stron: 632
...same side of it, the four points lie on a circle. 32. 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. 33. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse....
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