 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...to the rectangles contained 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
...points of contact always passes through a fixed point in the circumference of the given circle. 14. If from any point without a circle two straight lines...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. ALGEBRA AND GEOMETRY. I. TODHUNTER, ESQ.,... | |
 | Education - 1859 - 414 pages
...any quadrilateral figure inscribed in a circle are together equal to two right angles. 9. If from a point without a circle two straight lines be drawn,...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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...the other at right angles ; (3) not at right angles ; (4) when neither passes through the centre. E. If from any point without a circle two straight lines be drawn, one cutting, the other touching the circle, the rectangle of the whole cutting line and the part without... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...to a given square; (1) when the sum, and (2) when the difference of two adjacent sides is given. 3. If, from any point without a circle, two straight...the circle, and the part of 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... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...to a given square; (1) when the sum, and (2) when the difference of two adjacent sides is given. 3. If, from any point without a circle, two straight...the circle, and the part of 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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 of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which... | |
 | Civil service - 366 pages
...the circumference upon the same base, that is, upon the same part of the 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 contained by the whole line which cuts... | |
 | Euclides - 1861 - 464 pages
...Ax. 3 & 2. 8 9 Cone. РROP. 36. — THEOR. (Important.) If from any point without a circle two st. lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Cox. 10,1. 1,II1. 12,1. DEM. 18, III. 47,... | |
 | War office - 1861 - 714 pages
...intercepted without the triangle between the perpendicular and the obtuse angle. other meets it, 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 of the line which meets it, the line which meets touches the circle. ALGEBRA.... | |
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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... 
