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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 part of the circumference. "
A Treatise on Surveying, Containing the Theory and Practice: To which is ... - Página 43
por John Gummere - 1814 - 346 páginas
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 páginas
...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...that is, upon the same part of the circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh cuts the...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...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...that is, upon the same part of the circumference. BOOK IV. PROP. 11. — To inscribe an equilateral and equiangular pentagon in a given circle. BOOK...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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...circumference, upon the same base ; that is, upon the same are. Given a circle ABC, and BDC an angle at its centre, and BAC an angle at its circumference, which...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...circle is in CA. Therefore, if a straight line, &c. QED PROPOSITION XX. THEOREM. The angle at the center of a circle is double of the angle at the circumference...that is, upon the same part of the circumference. Let ABCbe a circle, and BEC an angle at the center, and BAC an angle at the circumference, which have...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...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. l & 2. DEM. Def. 15, I. 5, t 32, I. In every...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...turning a recurring decimal into a vulgar fraction. 7. The angle at the centre of a circle is double the angle at the circumference upon the same base, that is upon the same part of the circumference. 8. In a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 112 páginas
...postulates, repetitions, &c.). 23. Euc. III. Prop. XX. — The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. In the triangle ADC, the side AD equals DC, therefore, as equal sides are opposite to equal angles...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...centre is in CA. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 20.— THEOREM. The angle at the centre of a circle is double of the...circumference, upon the same base; that is, upon the same arc. (References— Prop. I. 5, 32.) Hypothesis. — Let ABC be a circle, and BEC an angle at the centre,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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...the circumference upon the same base, that is, upon tlie same part of the circumference. (References — Prop. i. 5, 32.) Let ABC be a circle, and EEC...
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Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - 1862 - 200 páginas
...postulates, repetitions, &c.) *27. Euc. III. Prop. XX.— The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. GEOMETRICAL THEOREMS. EDA equals DAG and DCA together ; let ACB and ADB be two angles standing upon...
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