| Henry William Watson - 1860 - 240 Seiten
...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 touches it, the rectangle...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... | |
| Henry William Watson, Edward John Routh - 1860 - 198 Seiten
...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 touches it, the rectangle...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... | |
| Civil service - 366 Seiten
...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...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. If any line is drawn touching a circle,... | |
| Euclides - 1860 - 288 Seiten
...which cuts, and the other meets the circle, and that the rectangle AB • BC contained by the secant, **and the part of it without the circle, is equal to the square** on BD which meets it ; the straight line BD touches the circle ACD (III. 37) ; and because BD touches... | |
| Robert Potts - 1860 - 361 Seiten
...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 cuts the circle, and the part of it without the circle, 'in. II be equal to the... | |
| Euclides - 1861
...36. — THEOR. (Important.) If from any point without a circle two st. 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. Cox. 10,1. 1,II1. 12,1. DEM. 18, III. 47,... | |
| War office - 1861 - 12 Seiten
...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.... | |
| Euclides - 1862
...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 circle,** shall be equal to the square of the line which touches it. (References — Prop. i. 12, 47 ; n. 6 ;... | |
| Euclides - 1862 - 140 Seiten
...PROPOSITION 36. -THEOREM. 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 contained by** tlte whole line which cuts the circle, and the part of it without the circle, shall be equal to the... | |
| Robert Potts - 1863 - 482 Seiten
...four right angles. 13. 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** circleand the part of it without the circle, shall be equal to the square of the line which touches... | |
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