| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...produced such that QP= QB, prove that P will lie on an arc of a fixed circle passing through A and B. 7. **If from any point without a circle two straight lines be drawn, one of which cuts the circle** but does not pass through the centre, and the other touches it : the rectangle contained by the whole... | |
| John Fry Heather - Geometry, Modern - 1890 - 252 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 of the line which meets it, the line which meets shall touch the circle. (Eu.... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...circle shall be equal to the angles which are in the alternate segments of the circle. 4. If from n **point without a circle two straight lines be drawn, one of which cuts the circle** (but does not pass through the centre), and the other touches the circle, the rectangle contained by... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...of which cuts the circle and the other meets it ; if the rectangle contained by the whole straight **line which cuts the circle and the part of it without the circle** be equal to the square of the line which meets the circle, the line which meets the circle shall touch... | |
| Euclid - Geometry - 1890 - 442 pages
...the Addenda. Proposition 36. THEOREM — If from any point outside a circle, two straight lines are **drawn, one of which cuts the circle and the other touches it** ; then the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...one another, and shall have those angles equal which are opposite to the homologous sides. If from a **point without a circle two straight lines be drawn, one of which** touches, and the other cuts the circle ; a line drawn from the same point in any direction equal to... | |
| 1891 - 718 pages
...the least and PQ the greatest line that can be drawn from P to the circle. D. If from a point outside **a circle two straight lines be drawn, one of which...whole line which cuts the circle and the part of it** outside the circle is equal to the square on the line which touches it. ENGLISH. The Board of Examiners.... | |
| Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...between that straight line and the circumference, so as not to cut the circle. 'J. If from any |toint **without a circle two straight lines be drawn, one...and the other touches it, the rectangle contained** liy the segments of the secant shall be equal to the square on the tangent. [Prove this in the case... | |
| Northwest Territories Council of Public Instruction - 1897 - 628 pages
...reasons for your answer. (c) Draw a common tangent to two given circles. 5. (a) Prove that if from a **point without a circle two straight lines be drawn, one of which cuts the circle, and the other** meets it, and if the rectangle contained by the secant and its external segment be equal to the square... | |
| Manitoba. Department of Education - Education - 1900 - 582 pages
...circle described on any two sides of a triangle as diameters intersect on the third side. 8. If from a **point without a circle two straight lines be drawn,...it, the rectangle contained by the whole line which** cute the circles and the part of it without the circle shall be equal to the square on the line which... | |
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