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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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 páginas
...both acute, and the angle DCB being greater than the angle ACB, show that DB is greater than AB. 6. 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. On the base BC of a triangle ABC, which has an obtuse angle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...circumference intercepted between the straight lines which contain the angle. PROPOSITION 20. THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, ie upon the same part of the circumference. Let ABC be a 0, BEC an L at its centre E, and BAC an u...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 páginas
...nature of the contact, when the given straight line (i) falls without, (2) cuts the given circle ? 3. The angle at the centre of a circle is double of the angle at the circumference on the same base, ie on the same part of the circumference. If two straight lines AEB, CED in a circle...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...half the line bisected, and of the square on the line made up of the half and the part produced. 7. The angle at the centre of a circle is double of the 8 angle at the circumference upon the same base, that is, upon the same part of the circumference....
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Calendar, for the Year ...

1897
...adjacent sides of a rectangle and a square equal to it in area, construct the rectangle. 3. Shew that an angle at the centre of a circle is double of the angle at the circumference cn the same arc. Deduce that all angles in the same segment of a circle are equal to one another. 4....
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...your figures to (a) and (6) corresponds to the two values of x found in solving the quadratic ? 5. (a) The angle at the centre of a circle is double of the angle at the circumference on the same arc. III. 20. (6) What is meant by a re-entrant angle.? Prove that III. 20 is true for...
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The Sewerage of Sea Coast Towns

Henry Charles Adams - 1911 - 186 páginas
...equal to two right angles"; Euclid III. (20), " The angle at the centre of a circle is double that of the angle at the circumference upon the same base—...that is, upon the same part of the circumference," or in other words, on a given chord the angle subtended by rt at the centre of the circle is double...
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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1912
...the lines are parallel. 5. Show how to construct a square equal in area to a triangle. 6. Prove that the angle at the centre of a circle is double of the angle at the circumference standing on the same arc, and deduce a property of a quadrilateral inscribed in a circle. 7. If two...
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Wrinkles in Practical Navigation

Squire Thornton Stratford Lecky - 1918 - 966 páginas
...each circle ; and S stands for ship. Remember — for upon this it all hinges — that Euclid says " The angle at the centre of a circle is double of the angle at the circumference upon the same base." But though allusion is made to angles, there is no intention of invoking tha aM of any angleTO DEEP-SEA...
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United Service Magazine, Volumen3;Volumen94,Página 3

1860 - 722 páginas
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 12. The angle at the centre of a circle is double of the...that is, upon the same part of the circumference. ENGLISH. — Dictation, &c. LATIN. — A passage translated from Caesar, or from T'iryil ; words declined,...
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