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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... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...circle two Straight lines be drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, the rectangle contained...circle is equal to the square of the line which touches the circle. Two circles intersect, AB is their common chord, a point 0 is taken ifl AB produced and...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 212 Seiten
...square on the third. 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 from a given point A without a given...
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Calendar

University of Cambridge - 1864 - 694 Seiten
...square on the third. 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 from a given point A without a given...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 Seiten
...PROPOSITION XXXVI. THEOREM. 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, thall be equal to the square on the line which touches it. Let D be any point without the circle ABC,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...point without a circle two straight Uses be drawn, one of which cuts the circle, and the other tonches it ; the rectangle contained by the whole line which...the circle, and the part of it without the circle, shall be equal to the square of the line which tonches it. Cor. If from any point without a circle...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 Seiten
...BG PROP. J.XXVI. THEOR. 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 lint which cvts the circle, and the part of it without the circle, is equal to the square of the line...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...circle there lie drawn 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 the circle, be equal to the square on the line which meets the circle, Uie line which meets the circle sltall touch...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 Seiten
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one oj trhich cuts the circle, and the other touches it ; the rectangle...which cuts the circle, and the part of it without lite circle, shall be equal to the square on the line which touches it. Let D be any point without...
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