 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...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 on the line which touches it. If two chords AB, AC be drawn from any point... | |
 | Civil service - 366 pages
...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...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,... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...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 on. the line which touches it. If two chords AB, AC be drawn from any... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained hy tin whole line which cuts the circle, and the part of it without the circle, be equal to the square... | |
 | War office - 1861 - 714 pages
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. other meets it, if the rectangle contained by the...square of the line which meets it, the line which meets touches the circle. ALGEBRA. 1. Verify the truth of the formula (a — b).(c — d)=ac — be— ad+bd,... | |
 | Euclides - 1861 - 464 pages
...Tangents to a 0 from the same • are equal. 37, III. If from a point without a circle there be drawn two lines, one of which cuts the circle and the other...the circle, and the part of it without the circle, bo equal to the square of the line which meets it, the line which meets it shall touch the circle.... | |
 | Euclides - 1862 - 172 pages
...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 pages
...the circle. PROPOSITION 37.— THEOREM. If from a point without a circle there be dfawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
 | Euclides - 1863 - 122 pages
...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... | |
 | Euclides - 1864 - 262 pages
...circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight tinea, one of which cuts the circle, and the other meets...if the rectangle contained by the whole line which cult the circle. and the part of it without the circle, be equal to the square on the line which meets... | |
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IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the 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... 
