 | Euclides - 1856 - 168 pages
...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 - 694 pages
...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 - 578 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 - 422 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 - 672 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 - 414 pages
...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 - 366 pages
...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, Edward John Routh - Mathematics - 1860 - 240 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... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 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 - 334 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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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 line which cuts the circle, and the part of it without the circle, shall be equal to the square... 
