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" Ir any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the straight line drawn from A to B shall fall within the... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 54
av Euclid, Robert Simson - 1838 - 416 sider
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The Cambridge Examiner, Volum 3

1883
...with the square on their difference, is double the squares on the two straight lines. 11. If any point be taken in the circumference of a circle, the straight...line which joins them shall fall within the circle. 12. Inscribe a circle in a given equilateral and equiangular pentagon. 13. Give Euclid's definitions...
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The Cambridge Examiner, Volum 1

1881
...tangent, secant, sector, quadrant. Comment on Euclid's use of the words circle and circumference. 7. If any two points be taken in the circumference of a circle, the straight line which joins them falls within the circle. A straight line cannot cut the circumference of a circle in more than two...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...centre ; that is, F is the centre of the circle ABC: which was to be found. PROPOSITION 2. THEOREM. If any two points be taken in the circumference of a...fall within the circle. Let ABC be a circle, and A and B any two points in the circumference : the straight line drawn from A to B shall fall within the...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...**. 9. Hence give another method of finding the centre of a given circle. PROPOSITION 2. THEOREM. If any two points be taken in the circumference of a...shall fall within the circle.* Let ABC be a circle, A and B any two points in the Qce : it is required to prove that AB shall fall within the circle. Find...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...рш • А 56 W:.EXAMINATION QUESTIONS FOlt LICKNSK. 1891. IM GEOMETRY. Time, l hr. 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 a circle are equal to one another....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...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,...which joins them shall fall within the circle. Let A and B be two pts. on the Oce of a 0. Their join, AB, shall be within the 0. PB Let C be the centre...
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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 a circle are equal to one another....
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The Manitoba School Question

Frederick Coate Wade - 1895 - 122 sider
...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...line which joins them shall fall within the circle. How would you answer the assertion that this proposition is self-evident ? Through one of the points...
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Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - 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 a circle, are equal to one another....
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School Science and Mathematics, Volum 22

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...line which joins them shall fall within the circle." Professor Miller's criticism is wholly unjustifiable. The concept that a tangent touches a curve at...
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