 | 1850 - 806 Seiten
...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... | |
 | Isaac Dalby - 1807 - 476 Seiten
...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... | |
 | Charles Hutton - 1811 - 406 Seiten
...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,... | |
 | Peter Fleming - 1815 - 250 Seiten
...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... | |
 | Charles Hutton - 1816 - 610 Seiten
...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,... | |
 | 1816 - 764 Seiten
...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... | |
 | Euclides - 1821 - 294 Seiten
...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... | |
 | Charles Hutton - 1822 - 616 Seiten
...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,... | |
 | Ferdinand Rudolph Hassler - 1828 - 180 Seiten
...-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... | |
 | Robert Simson - 1835 - 544 Seiten
...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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The angle at the centre of a circle is double the angle at the circumference on the same arc. 
