| Euclid, John Playfair - 1853 - 317 Seiten
...ED. PROP. XXXVI. THEOR. bisect' 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 line** whfyh cuts the circle, and the part of it without the circle, is equal to the square of the line which... | |
| 1855
...within the circle. 3. 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...cuts the circle and the part of it without the circle** shall be equal to the square of the line which touches it. SECT. IV. — 1. About a circle to describe... | |
| Great Britain. Committee on Education - 1855
...centre than the less. 3. 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...the circle and the part of it without the circle,** shall be equal to the square of the line which touches it. Section 4. } . About a circle to describe... | |
| John Playfair - 1855 - 336 Seiten
...drawn, one nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme **which cuts the circle, and the part of it without...equal to the square of the line which touches it.** Let D be any point without the circle ABC, and DCA, DB two straight lines drawn from it, of which DCA... | |
| Euclides - 1855
...straight lines, one of which cnti the circle, and the other meets it ; and if the rectangle contained liy **the whole line which cuts the circle, and the part of it without the circle,** be equal to the square of the straight line which meets it, that straight line touches the circle.... | |
| Cambridge univ, exam. papers - 1856
...two right angles. 12. 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...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. EUCLID (B.) DEFINE a plane superficies,... | |
| War office - 1858 - 12 Seiten
...circle there be drawn two straight lines, one of which cuts the circle and the other meets it, so that **the rectangle contained by the whole line which cuts...the circle, is equal to the square of the line which** meets it, then the line which meets the circle will touch the circle. VOLUNTARY PORTION. 1. Prove the... | |
| Great Britain. Parliament. House of Commons - 1858 - 690 Seiten
...circumference. 10. PROP. XXXVI. — 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...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. 11. If any line is drawn touching a circle,... | |
| Sandhurst roy. military coll - 1859 - 1869 Seiten
...VOLUNTARY PORTION. 1. 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...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. 2. In a right angled triangle if a perpendicular... | |
| 1859
...to two right angles. 9. If from a point without a circle two straight lines be drawn, one of which **cuts the circle, and the other touches it; the rectangle...the circle, and the part of it without the circle** shall be equal to the square of the line which touches it 10. Describe an i-osceles triangle having... | |
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