 | Euclides - 1845 - 546 σελίδες
...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...contained by the whole line which cuts the circle, and (he part of it without the circle, be equal to the square of the line which meets it, the line which... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...the tangent AD. PROP. XXXVII. THEOR.— If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole fine which cuts the circle, and the part of it without... | |
 | Great Britain. Admiralty - 1846 - 128 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 of the line which touches it. Let D be any point without the 0 ABC ; and... | |
 | Euclid, John Playfair - 1846 - 334 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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle con-tained by the whole line which cuts...the circle, and the part of it without the circle, shall equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB... | |
 | Euclides - 1846 - 292 σελίδες
...touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, then, if the rectangle, contained by the whole line which cuts the circle and the part of it without... | |
 | Thomas Gaskin - 1847 - 301 σελίδες
...the square of the line that touches the circle is equal to the rectangle contained by the straight line which cuts the circle and the part of it without the circle. 5. The portions of the tangent at any point of an equiangular hyperbola intercepted between the curve... | |
 | Euclides - 1848 - 52 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 of the line which touches it. Con. If from any point without a circle,... | |
 | Euclid, Thomas Tate - 1849 - 120 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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | 1850 - 488 σελίδες
...the segment of the other. SECTION V. 1. 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. 2. To inscribe a circle... | |
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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-... 
