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" If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it. "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Page 11
by Euclides - 1861
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...of the half and the part produced. 5. If a straight line drawn through the centre of a circle, cut a straight line in it, which does not pass through the centre, at right angles, it shall bisect it. Two equal circles have a common chord AB. If a chord AC of one...
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The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...and Treble are in octaves, adding to which fault the chord (tf) has the leading-note doubled. Euclid. If a straight line drawn through the centre of a circle...the centre, it shall cut it at right angles ; and if it cut it at right angles, it shall bisect it. If with the vertex of an isosceles triangle as centre...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...of the half and the part produced. 5. If a straight line drawn through the centre of a circle, cut a straight line in it, which does not pass through the centre, at right angles, it shall bisect it. Two equal circles have a common chord AB. If a chord AC of one...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...given square, find the other side. 3. If a straight line drawn through the centre of a circle bisects a straight line in it which does not pass through...shall cut it at right angles ; and conversely, if it cut it at right angles, it shall bisect it. Prove this. 4. From a given circle cut off a segment, which...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...centre it shall cut it at right angles. (2) If a straight line drawn through the centre of a circle cut a straight line in it which does not pass through the centre at right angles it shall bisect it. (1) Let ABC be a 0, and let a st. line CD, passing through the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...centre. PROPOSITION 3. THEOREM. If a straight line drawn through the centre of a circle bisects a chord which does not pass through the centre, it shall cut it at right angles : and, conrerseli/, if it cut it at right angles, it shall bisect it. B 'C Let ABC be a circle; and let CD...
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Pitman's Journal of Commercial Education, Volume 52

1893 - 852 pages
...E and a line AF parallel to BC in F. Prove that the triangle ADE is equal to the triangle EOF. (2) If a straight line drawn through the centre of a circle...the centre, it shall cut it at right angles ; and if it cut it at right angles, it shall bisect it. (3) Inscribe an equilateral and equiangular hexagon...
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Calendar, for the Year ...

1895 - 142 pages
...PROFESSOR SEGAR. 1. If a straight lino drawn through the centre of a circle bisects a chord which docs not pass through the centre, it shall cut it at right angles : and, conversely, if it cut it at right angles, it shall bisect it. Every circle passing through a given point, and having...
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Examinations Papers

1900 - 798 pages
...wie herzlich sie ihn liebe. — HOFFMANN. PTTEE MATHEMATICS.— PAKT I. The Board of Examiners. I. 1. If a straight line drawn through the centre of a circle bisect a chord which does not pass through the centre, it shall cut it at right angles ; and, conversely, if...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...three parts taken two and two together. 5. Describe a square equal to a given rectilineal figure. 6. If a straight line drawn through the centre of a circle...line in it which does not pass through the centre, it cuts it at right angles ; and if it cut it at right angles, it bisects it. 7. Straight lines in a circle...
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