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" 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 right angle ; and the angle in a segment less than a semicircle is greater than a right angle. "
Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ... - Side 90
av Euclid, John Keill - 1733 - 397 sider
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 sider
...arc DB. Wherefore the given arc is bisected at DQBF PROPOSITION 31. 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 right angle ; and the angle in a segment less than...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 sider
...the whole and one of the parts may be equal to the square on the other part. 8. 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 right angle; and the angle in a segment less than...
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Calendar of Dalhousie College and University

Dalhousie University - 1887 - 206 sider
...angles to the touching line, the centre of the circle shall be in that line. 12. In a circle, the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle is less than a right angle ; and the angle in a segment less than...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 sider
...than one more remote ; and the greater is nearer to the centre than the less. 7. 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 right angle, and the angle in a segment less than...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...the external bisector of the angle ABC. (See Ex. 347.) PROPOSITION 31. THEOREM. In a circle the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle is less than a right angle ; and the angle in a segment less than...
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The Proportions and Movement of Slide Valves

William Dyson Wansbrough - 1903 - 182 sider
...well-known 31st Proposition of the Third Book of Euclid, which enunciates : — " In a circle, the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle is less than a right-angle ; and the angle in a segment less than...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 sider
...of the line, and of the square on the line between the points of section. 5. In a circle, the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle is less than a right angle ; and the angle in a segment less than...
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Parliamentary Papers, Volum 19

Great Britain. Parliament. House of Commons - 1861 - 588 sider
...of a circle being given, describe the circle of which it is the segment. 9. 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 right angle ; and the angle in a segment less than...
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Parliamentary Papers, Volum 16

Great Britain. Parliament. House of Commons - 1874 - 820 sider
...which do not both pass through the centre, they do not bisect each other. 5. 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 right angle ; and the angle in a segment less than...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 18

1874 - 748 sider
...line between the pointe of section are equal to the square on half the line. 4. 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 right angle. 5. ABCD is a quadrilateral inscribed...
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