 | Benjamin Donne - 1796 - 120 pages
...icooxento the Godsl BOOK II, Of Angles in Circles, or parts of Circles. THEOREM 1. The angle at the center of a circle is double the angle at the circumference; that is, if from any point D in the circumference of the circle two lines DA, DB, are drawn to any two points,... | |
 | 1850 - 806 pages
...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 - Mathematics - 1807 - 476 pages
...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 - Mathematics - 1811 - 406 pages
...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 - Surveying - 1815 - 250 pages
...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 - Mathematics - 1816 - 610 pages
...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,... | |
 | Encyclopedias and dictionaries - 1816 - 764 pages
...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 pages
...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 - Mathematics - 1822 - 616 pages
...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,... | |
 | Mathematics - 1836 - 488 pages
...straight line be drawn at right angles to the touching line, the centre of the circle is in that line. XX. The angle at the centre of a circle is double the angle at the circumference, upon the same base, that is, upon the same point of the circumference. XXI. The angles in the same... | |
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The angle at the centre of a circle is double the angle at the circumference on the same arc. 
