 | War office - 1861 - 714 σελίδες
...line between the points of section. 2. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...the part of it without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. VOLUNTARY PORTION.... | |
 | Euclides - 1861 - 464 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | University of Cambridge - 1864 - 694 σελίδες
...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 from a given point A without a given... | |
 | Woolwich roy. military acad - 1864 - 588 σελίδες
...drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, 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 touches the circle. Two circles intersect, AB is their common... | |
 | William Walton - 1864 - 234 σελίδες
...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 from a given point A without a given... | |
 | Euclides - 1864 - 448 σελίδες
...tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to the square on the line which touches it. Let D be any point... | |
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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-... 
