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" The angle at the centre of a circle is double the angle at the circumference on the same arc. "
Elementary Plane Geometry: Inductive and Deductive - Página 86
por Alfred Baker - 1903 - 144 páginas
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The Eclectic review. vol. 1-New [8th]

1850
...similar to those acts by which, knowing the previous propositions of Euclid, he might be assured that the angle at the centre of a circle is double the angle at the circumference, both angles standing on the same arc. On the contrary, our author would entirely exclude mathematical...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volumen1

Isaac Dalby - 1807
...must be equal. Coral. Hence equal chords in a circle, subtend equal anglei at the circumference. 71. The angle at the centre of a circle is double the angle at the circumference when both of them stand on the same arc. Let G4\C be an angle at the centre, and GPA an angle at the...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...the arc AEB ; and thus, having equal measures, they are equal to each other (ax. 11). THEOREM LI. An Angle at the Centre of a Circle is Double the Angle at the Circumference, when both stand on the Same Arc. Let c be an angle at the centre c, and D an angle at the circumference,...
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volumen1

Peter Fleming (Civil engineer) - 1815 - 164 páginas
...equal to the opposite and inward angle, 4. The angles at the base of an isoceles triangle are equal, 5. The angle at the centre of a circle, is double the angle at the circumference, when standing upon the same arc of that circumference, ..---_ 6. The three angles of a triangle are...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volumen10

1816
...perpendicular to a tangent at the point of contact, that line paffes through the centre. THEOR. XXf.yfif.j?. An angle at the centre of a circle is double the angle at the circumference •which Hands upon the fame arch. Let ACB he the angleat the centre of a circle and ADB an angle at the circumference,...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volumen1

Charles Hutton - 1816
...the arc AFB ; and thus, having equal measures, they are equal to each other (ax. 11). THEOREM LI. AN Angle at the Centre of a Circle is Double the Angle at the Circumference, when both stand on the Same Arc. Let c be an angle at the centre c, and D an angle at the circumference,...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...without the line at right angles to the tangent, can be tbe centre of that «rcle. PROP. 20, THEOR. The angle at the centre of a circle is double the angle at the circumference, when, they have the same part of the circumference for their base. 1. Let one side of the angle at...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...the arc AEB ; and thus, having equal measures, they are equal to each other («. 11). THEOREM Lt AN Angle at the Centre of a Circle is double the Angle at the Circumference, when both stand on the Same Arc. Let c be an angle at the centre c, and D an angle at the circumference,...
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Elements of the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - 1828 - 159 páginas
...-angle at the centre, and to these equal angles equal arcs will correspond. § 49. THEOREM. The an^le at the centre of a circle is double the angle at the circumference, that is subtended by the same chord or arc. APPLIC. In the circles ADBE, (fig. 53 and 54,) let the...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 páginas
...the centre ; that is, the centre is in C A. Therefore, " if a straight line" &c. QED PROP. XX. THEOR. 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. a 5. 1. . l. Let ABC be a circle,...
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