| Euclides - 1864
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight tines **be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained** bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to... | |
| Euclides - 1865
...straight lines, &c. QED PROP. XXXVI.— THEOREM. If from any point without a circle, two straight lines **be 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 the... | |
| John Playfair - Geometry - 1855 - 317 pages
...therefore AE.EC=BE. Ett BG PROP. J.XXVI. THEOR. 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** lint which cvts the circle, and the part of it without the circle, is equal to the square of the line... | |
| James Robert Christie - Mathematics - 1866 - 404 pages
...squares of the other two sides of the triangle. 3. If from any poinf without a circle two straight lines **be drawn, one of which cuts the circle, and the other touches it; the rectangle contained,** &c. Prove the case in which the line that cuts the circle does not pass through the centre. 4. Triangles... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...straight lines &c. QED , PROPOSITION 36. THEOREM. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...it without the circle, shall be equal to the square** on the line which touches it. Let D be any point without the circle ABC, and let DCA, DB be two straight... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...circle there lie 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, Uie line which meets the circle sltall touch... | |
| Robert Potts - 1868 - 410 pages
...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...which cuts the circle, and the part of it without** lite circle, shall be equal to the square on the line which touches it. Let D be any point without... | |
| Richard Wormell - Geometry, Plane - 1870 - 16 pages
...and the part without the circle (§230). Or, If from any point without a circle two straight lines **be drawn, one of which cuts the circle and the other...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
...parallelograms are on opposite sides of the bases. 5. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...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... | |
| Euclides - 1872
...rectangle CP", CQ.' PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines **be drawn, one of which cuts the circle, and the other...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... | |
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