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" If from any point without a circle two straight lines be drawn, one of -which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square... "
The first three books of Euclid's Elements of geometry, with theorems and ... - Page 82
by Euclid, Thomas Tate - 1849 - 108 pages
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pages
...circle there be drawn two 5 straight linea, one of which cuts the circle and the other meets it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square on the line which meets the circle, the line which meets the circle shall touch...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line, which cuts...the circle, and the part of it without the circle, be equal to the square on the line which meets it, the line which meets shall touch the circle. Draw...
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(Report).

Elizabethan club - 1880 - 156 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, then if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square on the line which meets it, the line which meets shall touch the circle. 49...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 670 pages
...equal ; prove that the lines bisecting these angles all pass through one point. 7. If from any point on a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the angles between the cutting and touching lines are equal to the angles in the alternate segments of...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...there be drawn two straight lines, one of which cuts the. circle, and the other meets it ;. and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square on the line which meets it, the line which meets must touch the circle. 11....
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Guide to employment in the Civil service

Civil service - 1882 - 308 pages
...the equality of two triangles is omitted by Euclid in Book I i State it carefully, and prove it. 2. If from any point without a circle two straight lines...the circle, and the part of it without the circle, is equal to the square on the line which touches it. C is the centre of two concentric circles. From...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...equal to twice the rectangle contained by the whole line thus produced and the part produced. 3. . If from any point without a circle, two straight lines...the circle, and the part of it without the circle, must be equal to the square on the line which touches it. When two circles intersect, their common...
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The Competitor, Volumes 3-4

1883 - 248 pages
...sides of a triangle as diameters they will be intersected by a third side or that side produced. 10. If from any point without a circle, two straight lines...drawn, one of which cuts the circle and the other meets it, the rectangle continued by the whole line which cuts the circle and the part of it without...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, be equal to the square on the line which meets the circle, the line which meets the circle shall touch...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...it to the circle shall form an equilateral triangle with the chord joining the points of contact. C. If from any point without a circle two straight lines be drawn, one of which cuts the circle and passes through Euclid, Algebra, and Mensuration. 239 the centre, and the other touches it, the rectangle...
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