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Books Bücher 41 - 50 von 137 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 Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...be the centre, that is, the centre is in CA. Wherefore, If a straight line %c. QED 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. Let ABC be a circle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 Seiten
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. 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 stme part of the cireumferB' Let ABC be a circle,...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...that no other point without the right line AB, is the centre. PROPOSITION XX. THEOREM. The angle (ACD) at the centre of a circle, is double of the angle at the circumference, when they have the same part of the circumference for their base. Firstly — Let either...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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. THEOREM....
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Minutes of the Committee of Council on Education, Band 1

Great Britain. Committee on Education - 1850
...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, the rectangle...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850
...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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Annual Report of the Commissioners ...

1851
...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 be determined,...
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THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...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.) (E)....
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Papers for the schoolmaster, Bände 1-6

...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 proposition...
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A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - 173 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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