| 1850 - 806 páginas
...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 páginas
...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 páginas
...half 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 páginas
...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 páginas
...half 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 páginas
...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 páginas
...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 páginas
...half 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,... | |
| George Roberts Perkins - 1847 - 326 páginas
...standing upon the same arc, are equal to each other ; for each is measured by half the same arc. Cor. 2. An angle at the centre of a circle is double the angle at the circumference, when both stand on the same arc. For the angle at the centre is (B. lll, Def. 12) measured by the whole... | |
| 1891 - 672 páginas
...angle be the ame ? Is GENERAL DRATSON acquainted with an obscure writer who long ago proved that the angle at the centre of a circle is double the angle at the circumference t But probably Euclid was a fossil geometer, as all who disagree with GENERAL. DRATSON are fossil astronomers.... | |
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