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Books Bücher 91 - 100 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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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 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 upon the same base, that is, upon the same part of the circumference. 6. If two straight...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...section, is equal to the square on half the line. Find the greatest rectangle having a given perimeter. 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 part of the circumference. P is any point on the...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...bisecting at right angles any straight line, taken within the circle. PROP. xxxvi. THEOREM. (E. 3. 20, 21). The angle at the centre of a circle is double of the angle at th» circumference standing upon the same arc, that is, upon tha same part of the circumference. And...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 Seiten
...might be stated thus :—Every normal to a circle passes through the centre. PROPOSITION XX. THEOREM. The angle at the centre of a circle is double of the an<jle at the circumference, subtended by the same arc. Let ABC be a ©, 0 the centre, BC any arc,...
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In literis Graecis et Latinis

Oxford univ, exam. papers, 1st publ. exam - 1879
...is equal to the square on the straight line which is made up of the half and the part produced. 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 part of the circumference. 5. About a given circle...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...points of contact are in a straight line with a fixed point in the circumference of the given circle. 3. The angle at the centre of a circle is double of the angle at the circumference on the same base. Two tangents AB, AC are drawn to a circle, D is any point on the circumference...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1879
...to one another, one on each side of the shortest line. 5. Inscribe a circle in a given triangle. 6. The angle at the centre of a circle is double of the angle at the circumference 011 the same base, that is, on the same arc. 7. Inscribe a circle in a given square....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 Seiten
...AKE, ABE are equal right-angled triangles; hence, AK is equal to AB. Proposition 16. 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 Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...centre ; therefore the centre is in CA. Wherefore, 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 on the same bate, that is, on the same arc. Let ABC be a circle, and BEC an angle at...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad - 1880
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 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. A triangle ABC is inscribed in a circle of...
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