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" The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 84
von Sir John Leslie - 1817 - 432 Seiten
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...right angles to the touching line, the centre of the circle shall be in that line. PROP. XX. THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. PROP. XXI....
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 Seiten
...base and the straight line intercepted between the perpendicular and the obtuse angle. ^Section 2. 1. The angle at the centre of a circle is double of the angle at the circumference. 3. If two straight lines cut one another in a circle, the rectangle of the segments...
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Minutes of the Committee of Council on Education, Band 1

Great Britain. Committee on Education - 1850 - 790 Seiten
...circle to the middle point of any chord in the circle, is perpendicular to that chord. 2. Show that the angle at the centre of a circle is double of the angle at the circumference upon the same base. 3. If two straight lines cut one another within a circle,...
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Annual Report of the Commissioners ...

1851 - 382 Seiten
...of a given circle, 3. Prove that the diameter of a circle is the greatest chord, .... 4. Prove that the angle at the centre of a circle is double of the angle at the circumference, upon the same base, .... 5. Explain how the height of an inaceessibl object may...
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Papers for the schoolmaster, Bände 1-6

582 Seiten
...ol two unequal lines, 13 equal to the rectangle contained by their sum and difference. SECTION III. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. Is this...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 Seiten
...to one another. Shew that all equal straight lines in a circle will be touched by another circle. 5. The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. If two straight...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - 1851 - 144 Seiten
...extremity of a diameter at right angles to it, each will be a tangent to the second circle. 1848. (A), The angle at the centre of a circle is double of the angle at the circumference upon the same base ; that is, upon the same part of the circumference, (in. 20.)...
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Five Years in an English University, Band 2

Charles Astor Bristed - 1852 - 470 Seiten
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference. 5. In a...
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The Sydney University Calendar

University of Sydney - 1853 - 134 Seiten
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 8. The angle at the centre of a circle is double of the angle at the circumference upon the same base. Prove this, and thence shew that the angle in a semi circle...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...centre; that is, the centre is in CA. Therefore, if a straight line, etc. QED PROPOSITION XX. THEOR. The angle at the centre of a circle is double, of the angle at the circumference upon the same base, that is, upon the same part of the circumference. BOOK III....
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