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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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Report of the Committee of Council on Education in Scotland...[without Appendix]

1902
...also meet in a second point *"• on the other side of the line, but in no other point. 7. Prove that the angle at the centre of a circle is double the angle at the circumference which stands on the same arc. 8. 8. Upon a given straight line describe a segment of a circle containing an angle...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - 1903 - 619 páginas
...will also meet in a second point on the other side of the line, but in no other point. 7. Prove that the angle at the centre of a circle is double the angle at the circumference which stands on the same arc. 8 Upon a given straight line describe a segment of a circle containing an angle of...
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Manual

1903
...any two others, the one which subtends the greater angle at the centre is the greater. 4. Show that the angle at the centre of a circle is double the angle at the circumference, standing ou the same arc. ABCD is a quadrilateral inscribed in a circle. A and B are fixed points,...
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Sessional Papers, Volumen37,Parte4

Ontario. Legislative Assembly - 1905
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. i The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite...
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A Text-book of Engineering Drawing and Design: Practical geometry

Sidney Herbert Wells - 1905
...the vertex of the triangle must be in this line. We now use the proof of Euclid iii., 20, which says "the angle at the centre of a circle is double the angle at the circumference on the same base," and we see that we ought to be able to draw a circle having AB for a chord, so that...
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Calendar of Queen's University at Kingston, Canada ... Faculty of Arts

Queen's University (Kingston, Ont.) - 1906
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite...
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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1907
...parallelogram is equal to that of a rectangle of the same aliitude standing on the same base. 6. Prove that the angle at the centre of a circle is double the angle, at the circumference. 7. Prove that the square on the side opposite an acute angle in a triangle is less than the sum of...
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A School Course of Mathematics

David Mair - 1907 - 379 páginas
...and the angle at 0 standing on the arc ADB. By means of these terms state the conclusion arrived at. The angle at the centre of a circle is double the angle at the circumference that stands on the same arc, and the angle at the circumference on a given arc is the same for all...
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Sessional Papers - Legislature of the Province of Ontario, Volumen6

Ontario. Legislative Assembly - 1914
...centre is greater than one more remote. Also the greater chord is nearer the centre than the less. The angle at the centre of a circle is double the angle at the circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volumen1

John William Norie, J. W. Saul - 1917 - 595 páginas
...right angles, the centre of the circle is in the straight line which bisects the other. PROPOSITION The angle at the centre of a circle is double the angle at the circumference on the same base, that is, on the same arc. Let ABC be a circle and BEC an angle at the centre, BAC...
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