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" EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another. "
A Collection of Problems and Examples Adapted to the "Elementary Course of ... - Page 112
by Harvey Goodwin - 1851 - 173 pages
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...(a—x) (a— x) 5. Describe a square which shall be equal to a given rectilineal figure. 6. Eqnal straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre are eqnal to one another. 7. Similar segments of circles...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1004 pages
...omit the 1st and 4th of the foregoing questions, and work the following instead: — (а) Equal chords in a circle are equally distant from the centre ;...and conversely, those which are equally distant from thé centre are equal to one another. (б) In a given circle to inscribe a triangle, equiangular to...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...contained by the whole line and one of the parts shall be equal to the square of the other part. 5. Equal straight lines in a circle are equally distant from the centre. Through the middle points of two equal chords of a circle a third chord is drawn: show that the portions...
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Practical Plane and Solid Geometry, Including Graphic Arithmetic

Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...produced, which joins their centres passes through the point of contact.' (Eue. ni. 11 and 12.) б. ' Equal straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre are equal.' (Eue. ni. 14.) с. ' If a straight line...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...to three angles of a regular decagon. 2. Describe a square equal to a given rectilineal figure. 3. Equal straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre are equal to one another. 4. Draw a straight line from...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...circle, or in equal circles, equal chords are equally distant from the centre; and conversely, chords •which are equally distant from the centre are equal to one another. (1) Hyp. Let AB, CD be equal chords in the O ABDC, and let OF,OE be J_ to AB, CD. To prove OF = OE....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...circle when the perpendiculars drawn to them from the centre are equal. PROPOSITION 14. THEOREM. (1) Equal straight lines in a circle are equally distant from the centre. (2) Straight lines in a circle which are equally distant from the centre are equal. Let AB, CD be chords...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...omit the 1st and 4th of the foregoing Questions, and work the following instead. (а) Equal chords in a circle are equally distant from the centre ;...conversely, those which are equally distant from the centre иге equal to one another. (б) In a given circle to inscribe a triangle, equiangular to a given...
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Examination Papers

University of Toronto - 1901 - 1190 pages
...then AC* + BC* = 2 Aß2 + 2 DC*. 4. Equal cords in a circle are equally distant from the centre ; and tho.se which are equally distant from the centre are equal to one another. (III. 14.) 5. If a straight line touch a circle, and from the point of contact a chord be drawn, the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...it at right angles ; and if it cut it at right angles, it bisects it. 7. Straight lines in a circle which are equally distant from the centre are equal to one another. 8. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting...
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