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" THE angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same  "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Page 92
by Sir John Leslie - 1809 - 493 pages
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...equal straight lines to the circumference, that point is the centre of the circle. 11. PROP. XX. — The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. 12. PROP....
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...which has the greater angle, shall be greater than the base of the other. BOOK III. 2. PROP. 20. — The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is upon the same part of the circumference. BOOK IV....
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...the point of contact — if a line fulfil two, it also fulfils the third. PBOPOSITION XX. THEOREM. The angle at the centre of a circle is double of the angle at the circumference, upon the same base ; that is, upon the same are. Given a circle ABC, and BDC...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...equal straight lines to the circumference, that point is the centre of the circle. 11 . PROP. XX. — The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. 12. PROP....
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...one another, which do not both pass through the centre, they do not bisect each other. PROP. XX — The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. ' PROP....
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...that which has the greater angle, shall be greater than the base of the other. BOOK III. PROP. 20.— The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. BOOK IV....
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...exact position ; but Dialling is now comparatively of little importance. PROP. 20. — ТНЕОЙ. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that a>, upon the same part of the circumference. CON. Pst....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...Is, the centre of tlie circle IB in CA. Therefore, if a straight line, &c. QED PROP. XX.— THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon tlie same part of the circumference. (References...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...is, the centre of the circle is in CA. Therefore, if a straight line, &c. QED PROP. XX.— THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. (References...
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The Quarterly journal of education and scholastic advertiser

1872 - 398 pages
...proposition as Prop. C, where it is proved for the case of an angle not less than two right angles, that " the angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc." Lastly, a proposition not given by Euclid, but essential...
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