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If from a point without a 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...
A companion to Euclid: being a help to the understanding and remembering of ... - Page 77
by Euclides - 1837 - 88 pages

Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...one another which do not both pass through the centre, they do not bisect one another. 4. If from any point without a circle there be drawn two straight...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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the straight line AD, which touches the circle. [Axiom 3. QEB PROPOSITION 87. THEOREM. If from any point without a circle there be drawn two straight...of which cuts the circle, and the other meets it, and if the rectangle contained by the whole lins which cutt the circle, and the part of it without...

Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 670 pages
...opposite angles are together equal to two right angles, a circle can be described about it. 16. Prove that if from a point without a circle there be drawn two straight lines one of which touches and the other cuts the circle, the rectangle between the whole line which cuts the circle and...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...bisected at D. Prove that the angle ADO is half the difference of the angles ABC and ACB. 6. If from any point without a circle there be drawn two straight lines, one of whirh cuts the circle, and the other meets it, and if the rectangle contained by the whole line which...

The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...angles of any quadrilateral figure inscribed in a circle are together equal to two right angles. 7. If from a point without a circle there be drawn two...if the rectangle contained by the whole line which cut the circle and the part of it without the circle be equal to the square of the line which meets...

The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...internally or externally, the two circles can have at the point of contact only one common tangent. 10. If from a point without a circle there be drawn two...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...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...tase is greater than the angle contained by the two sides equal to them of the other. 6. If from any point without a circle there be drawn two straight...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...

Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...equal to the square on the other part. Where does Euclid afterwards make use of this proposition ? 2. If from a point without a circle there be drawn two...meets it ; if the rectangle contained by the whole cutting line and the part without the circle be equal to the square on the other line, the latter shall...