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" If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Page 110
by Euclid, Edmund Stone - 1765 - 464 pages
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...no mistake is likely to follow from it. The symbol for circumference is ' Oce. ' PROPOSITION 2. If any two points be taken in the circumference of a, circle, the straight line which joins them shall fall within the circle. Let A and B be two pts. on the Oce of...
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Annual Report of the Chief Superintendent of Education

1891
...of the barometer in measuring heights and as an index of the IM GEOMETRY. Time, l Ar. SO min. 1. If any two points be taken in the circumference of a circle, the straight line, which joins them, must fall within the circle. 2. The angles in the same segment of...
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The Manitoba School Question

Frederick Coate Wade - Church and state - 1895 - 122 pages
...square of the line drawn from the point of bisection to the opposite angle of the triangle. A 6. If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. How would you answer the assertion that...
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Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - Education - 1896
...two lines, is a mean proportional between their squares. 9. Give reasons for the following: (a) If any two points be taken in the circumference of a circle, the straight line which joins them must fall within the circle. (ft) The angles in the same segment of...
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School Science and Mathematics, Volume 22

Education - 1922
...is desired on this point, it will be found in 'ThU journal. March. 1922. p. 278. Euclid III, 2: "If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle." Professor Miller's criticism is wholly...
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Examination,Midsummer,1879

Education Department - 1879
...it that the base of an equilateral triangle is bisected by the perpendicular from the vertex. 2. If any two points be taken in the circumference of a circle the straight line which joins them shall fall within the circle. If a circle pass through two points equidistant...
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Joint Documents ... for the Year ..., Part 2

Michigan. Legislature - Michigan - 1896
...two lines, is a mean proportional between their squares. 9. Give reasons for the following: (a) If any two points be taken in the circumference of a circle, the straight line which joins them must fall within the circle. (B) The angles in the same segment of a...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861
...contained by the whole line and the latter part together with the square of the former part. 8. If any two points be taken in the circumference of a circle the straight line which joins them shall fall within the circle. 9. The angle at the centre of a circle...
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