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Books Bücher 21 - 30 von 135 in The angle at the centre of a circle is double of the angle at the circumference upon...
" 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. "
An Encyclopædia of Architecture: Historical, Theoretical, and Practical - Seite 316
von Joseph Gwilt - 1842 - 1089 Seiten
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The Quarterly Journal of Education, Band 6

1833
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be also known...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...that is, the centre is in ('A. Therefore, if a straight line, &c. y. ED PROPOSITION XX. TnEOR. — The angle at the centre of a circle is double of the See N. angle at the circumference upon the same base, thai is, upon the same pit rt of the circumference....
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...magnitudes between one and two, two and three, three and four, &c. quadrants. PROP. 14. (Euc.iii. 20.) 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. Let А С В be...
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The schoolmaster: essays on practical education, selected from the works of ...

Schoolmaster - 1836
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be also known...
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The Element of Geometry

John Playfair - 1836 - 114 Seiten
...the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. QED B PROP. XII. 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. Let ABC be a circle,...
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The Schoolmaster: Essays on Practical Education, Selected from the ..., Band 1

1836
...of A and B is double of the sum or difference of C and D. It can thence be immediately proved that the angle at the centre of a circle is double of the angle at the circumference, and that all the angles in the same segment are equal. These we suppose to be also known...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...supposition is false, and .'. F is not the centre, 3. that the centre is in AC. PROPOSITION 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. Steps of the Demonstration...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...the point of contact — if a line fulfil two, it also fulfils the third. PROPOSITION 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 arc. arc BC for their base ; the angle BDC...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 Seiten
...CA, is the centre ; that is, the centre is in CA. Therefore, if a straight line, &c. PROP. 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. In the circle...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...of contact perpendicular to the tangent, passes through the centre of the circle. PROP. XX. THEOR. The angle at the centre of a circle, is double of the angle at the circumference, standing on the same arch. PROP. XXI. THEOR. All angles in the same segment of a circle...
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