| Euclides - 1856
...without a circle be drawn two straight lines whereof one cuts the circle and the other meets it, and **the rectangle contained by the whole line which cuts the circle and the part** without the circle be equal to the square of the other line, the latter line touches the circle. Let... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1858
...part of the 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...equal to the square of the line which touches it.** 11. If any line is drawn touching a circle, the part of it intercepted between the tangents at the... | |
| War office - 1858 - 12 pages
...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, and the part of it without the circle,** is equal to the square of the line which meets it, then the line which meets the circle will touch... | |
| W. Davis Haskoll - Civil engineering - 1858 - 324 pages
...by the opposite sides of the quadrilateral. If from any point outside of a circle two straight lines **be drawn, one of which cuts, the circle and the other touches it,** then the rectangle under the line which cuts the circle, and that part of it outside the circle, is... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...in the circumference of the given circle. 14. If from any point without a circle two straight lines **be drawn, one of which cuts the circle and the other...equal to the square of the line which touches it.** ALGEBRA AND GEOMETRY. I. TODHUNTER, ESQ., MA 1. Solve the following equations : — 24+x 11 13 (2)... | |
| Education - 1859
...circle are together equal 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...be equal to the square of the line which touches it** 10. Describe an i-osceles triangle having each of the angles at the base double of the vertical angle.... | |
| Civil service
...circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh **cuts the circle, and the other touches it ; the rectangle...equal to the square of the line which touches it.** If any line is drawn touching a circle, the part of it intercepted between the tangents at the extremities... | |
| Henry William Watson - 1860
...difference of two adjacent sides is given. 3. 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. If two chords AB, AC be drawn from any point A of a circle, and be produced... | |
| Henry William Watson, Edward John Routh - Mathematics - 1860 - 198 pages
...difference of two adjacent sides is given. 3. 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. If two chords AB, AC be drawn from any point A of a circle, and be produced... | |
| John Playfair - Geometry - 1860 - 317 pages
...BE. ED. PROP. XXXVI. THEOR. B Jf from any point without a circle two straight lines be drawn, one iif **which cuts the circle, and the other touches it; the...the circle, and the part of it without the circle,** is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
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