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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... "
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... - Σελίδα 18
επεξεργασία από - 1901
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...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...

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...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,...

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...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...

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...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,...

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...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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...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 ;...

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...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight...




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