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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR. The angle at the centre of a circle is double of the...the same base, that is, upon the' same part of the circumferB Let ABC be a circle, and BDC an angle at the centre, and BAC an angle at the circumference...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - 1842 - 1089 páginas
...half the arc CFD, since these three halves of arcs make up half the circumference. 919. PROP. XLIII. The angle at the centre of a circle is double of the angle at the dr. cuniference. D Let the angle at the circumference ADI> (fig. 275.) and the angle at the centre...
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Algebra applied to geometry ... By X. Y. Z.

X. Y. Z. - 1843 - 124 páginas
...:. r>d, and the point (a, b) is within the circle. 5*. In a circle the angle at the centre is double the angle at the circumference, upon the same base that is upon the same part of the circumference. (Euclid 20, 3.) Let the centre of the circle be the origin, then (r, o) (- r, o) will be the extremities...
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The British Annals of Education for ...: Being The Scholastic ..., Volúmenes1-2

1844
...which there fall more than two equal straight lines to the circumference, that point is the centre. 10. The angle at the centre of a circle is double of the angle at the circumference upon the same base. 11. From a given circle, cut off a segment which shall contain an angle equal to a given rectilineal...
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Volumen2

1844
...and two of the opposite angles of a four sided figure be equal, that figure is a parallelogram. 5. The angle at the centre of a circle is double of the angle at the circumference, when they stand on the same arc. 6. If the vertical angle of a triangle be bisected by a line, which...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 páginas
...the centre : that is, the centre is in C A. Therefore, if a straight line, &c. PROP. XX. THEOR. — The angle at the centre of a circle is double of the...that is, upon the same part of the circumference. In the circle ABC, let BEC be an angle at the centre, and BAC an angle at the circumference, which...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 páginas
...the centre of the circle is in CA. Therefore, if a straight line, &c. QKI). PROPOSITION XX. THEOREM. 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 BEC an angle at the centre, and BAC an angle at the circumference, which have...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 páginas
...centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED PROPOSITION XX. THEOB. — 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 BEC an angle at the centre, and BAC an angle at the circumference, which have...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...be the centre, that is, the centre is in CA. Wherefore, If a straight line %c. QED PROP. XX. THEOR. 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 BEC an angle at the centre, and BAC an angle at the circumference, which have...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 páginas
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR. The angle at the centre of a circle is double of the...circumference, upon the same base, that is, upon the stme part of the cireumferB' Let ABC be a circle, and BDC an angle at the centre, and BAC an angle...
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