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Books Bücher 81 - 90 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 acting teacher's and student's in training guide and text book for ...

Henry Major - 1873
...it may be shewn that no other point out of CA is the centre ; therefore the centre is in CA. 1TX — The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same arc. Let ABC be a circle, and BEC an angle at...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

James Bryce - 1874
...converse of each of the above Propositions is evidently also true. PROP. XII.— THEOREM. (Euc. I. 20.) The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same arc. Let AOB be an angle at the centre, and APB...
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The Elements of Euclid, containing the first six books, with a selection of ...

James Martin (of the Wedgwood inst, Burslem) - 1874
...centre of the circle is in CA. Therefore, if a straight line, &c. QED PROPOSITION 20. — 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 A BC be a circle,...
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Pure Mathematics, Band 1

1874
...therefore the centre is in CA. Therefore, if a straight line, &c. QED Proposition 20. — 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. Let ABC be a circle, and BEG an angle...
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Recent military, naval, and civil service examination papers in mathematics ...

1874
...straight line which joins their centres, being produced, shall pass through the point of contact. 4. The angle at the centre of a circle is double of the angle at the circumference on the same base, that is, on the same arc. AB and CD are two chords in a circle which...
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Euclidian geometry

1874
...off. An angle is said to stand upon the circumference intercepted between its arms. PROPOSITION XIII. The angle at the centre of a circle is double of the angfe at the circumference upon the same arc. Let AB be an arc of a © of which C is the centre, ACB...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...QEF ANGLES IN CIRCLES. DEFINITION. An arc of a circle is a part of the circumference. PROPOSITION V. The angle at the centre of a circle is double of the angle at the circumference upon the same arc. Let AB be an arc of a circle of which C is the centre, ACB the angle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...drawn through it, the tangents to the circles from any point in this perpendicular may be equal. >. The angle at the centre of a circle is double of the angle at the circumference npon the same base, that is, npon the same part of the circumference. If n circle be...
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Elements of geometry, based on Euclid, Bücher 1-3

Edward Atkins - 1876
...therefore the centre is in CA. Therefore, if a straight line, &c. QED Proposition 20. — 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. Lot ABC be a circle, and BEC an angle...
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Mathematical exercises

Samuel H. Winter - 1877
...is equal to the square on the straight line which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference on the same base that is on the same arc. 6. If two straight lines cut one another within...
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