| Robert Potts - 1868 - 434 pages
...rectangle BE, ED. (I. ax. 1.) Wherefore, if two straight lines, &c. QED PROPOSITION XXXVI. THEOREM. **If from any point without a circle two straight lines be drawn, one** oj trhich cuts the circle, and the other touches it ; the rectangle contained by the whole line which... | |
| Richard Wormell - Geometry, Plane - 1870 - 304 pages
...tangent is a mean proportional between the whole secant and the part without the circle (§230). Or, **If from any point without a circle two straight lines...cuts the circle and the part of it without the circle** is equal to the square of the tangent. 50. The line joining the centres of two circumferences is perpendicular... | |
| Edinburgh univ - 1871 - 392 pages
...enunciation, so as to extend it to the case where the parallelograms are on opposite sides of the bases. 5. **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 of the line which touches it. 6. Prove that similar triangles are to one another... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...rectangle of EC and ED becomes the square of EF, and therefore we have this proposition, viz. If from a **point without a circle two straight lines be drawn, one of which cuts** and the other touches the circle, then the rectangle of the segments of the cutting line shall be equal... | |
| Euclides - 1872 - 102 pages
...AB; shew that the rectangle CP, CQ is equal to the rectangle CP", CQ.' PROPOSITION XXXVI. THEOREM. **If, from any point without a circle, two straight...it; the rectangle contained by the whole line which** cute the circle, and the part of it without the circle, must be equal to the square on the line which... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...circle, their four extremities shall all -. in the circumference of a circle. PROPOSITION XXXVI. THEOREM. **If, from any point without a circle, two straight...and the other touches it ; the rectangle contained** 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the... | |
| University of Madras - 1873 - 436 pages
...respectively, shew that the quadrilateral KLMN is equal in all respects to the quadrilateral ABCD. IX. **If from any point without a circle two straight lines be drawn, one of which cuts the circle,** bui does not pass through the centre, and the other touches it ; prove that the rectangle contained... | |
| Braithwaite Arnett - Mathematics - 1873 - 120 pages
...The following results are frequently required in the investigation of the properties of triangles. **If from any point without a circle two straight lines be drawn** touching the circle, they are equal. This follows immediately from Euclid in. 37. For if DBj DE be... | |
| Braithwaite Arnett - 1874 - 130 pages
...that AB bisects the angle between PA and QA produced. Prove that the chords .SPand BQ are equal. 7. **If from any point without a circle two straight lines...of which cuts the circle, and the other touches it** j the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,... | |
| Bombay city, univ - 1874 - 648 pages
...circle there be drawn two 10 straight linos one of which cuts the circle and tho 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 tho square of the lino which meets it, then the line which meets the circle shall bo a... | |
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