| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...ELEMENTS. PROPOSITION 87. THEOREM. If from any point without a circle there be drawn i-wo itraight **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... | |
| 1884 - 654 pages
...construct the triangle. 20 marks. 4. Describe a square equal to a given rectilineal figure. 20 marks. Г). **If from a point without a circle there be drawn two...one of which cuts the circle and the other meets it** ; and if the rectangle c-oiitamcd by the whole line which cuts the circle and the part of it without... | |
| |