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 Libros Libros 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
Vista completa - Acerca de este libro ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...; that is, the centre is in C A. Therefore, " if a straight line" &c. QED PROP. XX. THEOR. S«e N. 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. B a 5. 1. b 32. 1. Let ABC be...
Vista completa - Acerca de este libro ## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...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...
Vista completa - Acerca de este libro ## Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 páginas
...not equal to each other, and the lesser chord is farther from the centre than the greater chord. 11. The angle at the centre of a circle is double the angle at the circumference, upon the same arc. 12. At the circumference, an angle which stands upon a semi-circumference is a right...
Vista completa - Acerca de este libro ## Transactions of the Royal Scottish Society of Arts, Volumen4

...apparatus I have termed a semi-revolving one. In Prop. XX., Book III., Euclid, it is demonstrated that 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. Let ABCDEF be a circular frame...
Vista completa - Acerca de este libro ## Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 páginas
...Therefore, if a straight line, <fec. QED Recite (a) p. 18, 3 ; (4) def. 10, 1 ; (c)ax. 10; (d)ax.9. 20 Th. The angle at the centre of a circle is double the angle at the circumference upon the same arc. The angles AEB, BEC, AEC are central: The angles ADB, BDC, ADC are at the circumference,...
Vista completa - Acerca de este libro ## Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 páginas
...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...
Vista completa - Acerca de este libro ## Notes and Queries

1891
...the 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....
Vista completa - Acerca de este libro ## Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 320 páginas
...subtended by the same arc, are equal to each other; for each is measured by half ihe same arc. Cor. 2. An angle at the centre of a circle is double the angle at the circumference, when both are subtended by the same arc. For the angle at the centre is (B. Ill, Def. 13,) measured...
Vista completa - Acerca de este libro ## Papers for the schoolmaster, Volumen3

1867
...and the least straight lines that can be drawn touching the former, and terminated by the latter. 3. The angle at the centre of a circle is double the angle at the circumference upon the same base, ie, upon the same part of the circumference. If any three points ABE, be taken...
Vista completa - Acerca de este libro ## Five Years in an English University, Volumen2

Charles Astor Bristed - 1852
...double the squares of the half-line and the line made up of the half-line and the part produced. 10. The angle at the centre of a circle is double the angle at the circumference, upon the same base. 11. The angle between a tangent and any chord, is equal to the angle in the alternate...
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