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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 ... - Page 42
by John Gummere - 1846 - 266 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...is in CA. Therefore if a ftraight line, &c. Q^ED PROP. XX. THE OR. See x. HPH E angle at the center of a circle is double of the , . angle at the circumference, upon the fame bafe, tha,t is, upon the fame part qf.the circumference, aji B ' Let ABC be a circle, and BEC...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...; that is, the centre is in CA. Therefore, if a ftraight line, &c. D. D PROP. XX. THEO R. THE nngle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let B t. b 32. t. Let ABC be a circle,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...; that is, the centre is in CA. Therefore, if a ftraight line, &.c. Q^ ED a is. 3. PROP. XX. THEOR. THE angle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let ABC be a circle, and BDC an angle...
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Elements of the Philosophy of the Human Mind

Dugald Stewart - Logic - 1802 - 587 pages
...different quantities, and the connexions which exifl between different relations. When we demonftrate, that the angle at the centre of a circle is double of the angle at the circumference on the fame bafe, we afcertain a relation between two quantities. When we demonftrate, that triangles...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...the centre ; that is, the centre is in CA. Therefore, if a flraight line, &.c. Q^ED PROP. XX. THE OR. THE angle at the centre of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. Let ABC be a circle, and BDC an angle...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...center is in CA. Therefore if a ftraight line, &c. £>._£. D. PROP. XX. THEOR. THE angle at the center of a circle is double of the angle at the circumference, upon the fame bafe, that is, upon the fame part of the circumference. SecN. a. Sb. 32. I. Let ABC be a circle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...is, the centre is in CA. Therefore, if a straight line, &c. QED B PROP. XX. THEOR. a 5 1. b 32. 1. THE angle at the centre of a circle is double of the...that is, upon the same part of the circumference. Let ABC be a circle, and BDC an angle at the centre, and BAG an angle at the circumference, which have...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...centre ; that is, fore, if a straight line, &c. QB the centre is in CA. ED PROP. XX. THEOR. s«« N. THE angle at the centre of a circle is double of the...that is, upon the same part of the circumference. B a 5.1. b33. Let ABC be a circle, and BEC an angle at the centre, and Book III. BAC an angle at the...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 493 pages
...straight lines CA, CD, and CB being all equal, the point C is the centre of the circle. PROP. XIX. THEOR. The angle at the centre of a circle is double of the angle which, standing on the same arc, has its vertex in the circumference. Let AB be an arc of a circle;...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...touching line, the centro of the circle shall be in that line. Prop. XX. Theor. Tin: angle at tlie centre of a circle is double of the angle at the circumference, upon the same ha.-e, that is, upon the same part of the circumference. Prop, XXI. Theor. The angles in the same segment...
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