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" 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. "
A Treatise on Surveying, Containing the Theory and Practice: To which is ... - Página 43
por John Gummere - 1814 - 346 páginas
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 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 describe...
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Examination Papers: Moderations

University of Oxford - 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. 8. In a circle...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumen23

1879
...the square on half the line bisected, and of the line made up of the half und the part produced. 6. The angle at the centre of a circle is double of the angle at the circumference on the same base. If a chord be drown through one of the two points of intersection of two 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 outside...
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Parliamentary Papers, Volumen22

Great Britain. Parliament. House of Commons - 1879 - 632 páginas
...the square on half the line bisected, and of the line made up of the half and the part produced. 6. The angle at the centre of a circle is double of the angle at the circumference on the same base. If a chord be drawn through one of the two points of intersection of two circle?,...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 5. The angle at the centre of a circle is double of the...that is, upon the same part of the circumference. 6. If from a point without a circle there be drawn two straight lines, one of which cuts the circle,...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 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 which O is the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...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 the centre, and...
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The Cambridge Examiner, Volumen1

1881
...distant from the centre ; and of two unequal chords the greater is nearer to the centre than the less. 8. The angle at the centre of a circle is double of the...that is, upon the same part of the circumference. Euclid only proves this proposition in the case in which the angle at the circumference is less than...
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The Cambridge Examiner, Volumen4

1884
...double of the square on half the line, and of the square on the line between the points of section. 12. 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. 13. Describe a circle about a given triangle. 14. In a...
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