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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, containing the first six books, with a selection of ... - Σελίδα 112
των Euclides - 1874
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 σελίδες
...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)...

Annual Report of the Association of Ontario Land Surveyors, Τόμος 17

Association of Ontario Land Surveyors - 1909 - 254 σελίδες
...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...

Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - 605 σελίδες
...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....

The Melbourne University Calendar

University of Melbourne - 1909 - 984 σελίδες
...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;...

Annual Report, Τόμοι 2-3

Civil Service Commission of Canada - 1910 - 240 σελίδες
...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....

Annual Calendar of McGill College and University

McGill University - 1883 - 404 σελίδες
...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...

Calendar

University of Allahabad - 1911 - 726 σελίδες
...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...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...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....

Calendar of the University of Sydney

University of Sydney - 1912 - 1050 σελίδες
...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....

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...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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