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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: Viz. the First Six Books, Together with the Eleventh ... - Side 67
av Euclid - 1810 - 518 sider
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Annual Report of the Chief Superintendent of Education

1891 - 718 sider
...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 - 168 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 - 710 sider
...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 - 948 sider
...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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Annual Report of the Department of Education of the Province of Alberta, Volum 5

Alberta. Department of Education - 1911 - 226 sider
...the whole line and one part may be equal to the square on the other part. 11 — II. Values. 8 10. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. 2— III. 6 11. Through a given point within a circle draw a chord which shall be bisected at that...
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Examination,Midsummer,1879

Education Department - 1879 - 1118 sider
...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...line which joins them shall fall within the circle. If a circle pass through two points equidistant from a given line, two triangles equal in all respects...
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Parliamentary Papers, Volum 19

Great Britain. Parliament. House of Commons - 1861 - 588 sider
...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...line which joins them shall fall within the circle. 9. The angle at the centre of a circle is double of the angle at the circumference upon the same base....
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Documents Accompanying the Journal of the House, Del 2

Michigan. Legislature - 1896 - 1090 sider
...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 circle, are equal to one another....
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