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Books Bücher 51 - 60 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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Five Years in an English University, Band 2

Charles Astor Bristed - 1852
...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 circle,...
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The Sydney University Calendar

University Of Sydney, General Books - 1853
...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 is a...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...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. PROF....
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...5. The centre of the circle is in CA. Therefore, if a straight line, &e. QEU 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. Let ABC be a circle,...
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The Collected Works of Dugald Stewart: Elements of the philosophy of the ...

Dugald Stewart, John Veitch - 1854
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate...
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The Collected Works of Dugald Stewart: Elements of the philosophy of the ...

Dugald Stewart, John Veitch - 1854
...different quantities, and the connexions which exist between different relations. When we demonstrate that the angle at the centre of a circle is double of the angle at the circumference on the same base, we ascertain a relation between two quantities. When we demonstrate...
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The elements of plane and spherical trigonometry

John Hind - 1855
...centre of the circle circumscribing the triangle ABC, we have OA=OB= ОС = the radius R : then, since the angle at the centre of a circle is double of the angle at the circumference upon the same base, we have, from Article (77), REGULAR POLYGONS. From this, it appears...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...therefore the square of EH is less than the square of EK, and the line EH than E K. LIX.— EUCLID 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 ABC (Fig....
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...line from a given point, either without or in the circumference, which shall touch a given circle. 11. 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. EUCLID. BOOKS...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 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 th» circumference, upon the same base, that is, upon the same part of the circumfer ence. Let ABC...
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