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" BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in. "
Elementary Plane Geometry: Inductive and Deductive - Página 96
por Alfred Baker - 1903 - 144 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 páginas
...the other meets the circle, and that the rectangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the fquare of BD which meets it; the ftraight line I3D touches d the circle ACD. and becaufe- BD touches...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 páginas
...the other meets the circle, and that the rectangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the fquare of BD which meets it ; the ftraight line BD touches* the circle ACD ; and becaufe BD touches...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 páginas
...the other meets the circle, and that the reftangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the fquare of BD which meets it ; the ftraight , 37. 3. Hne BD touches d the circle ACD ; and becaufe BD...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...the other meets the circle, and that the rectangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the fquare of BD which meets it; the ftraight line BD touches <1 the circle ACD. and becaufe BD touches...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...the other meets the circle, and that the rectangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; d37. 3. the straight line BD touches d the circle ACD ; and because BD touches...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...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 DCA, PB two straight lines...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...other meets the circle,/ and that the rectangle AB,i BC, contained by the wholel of the cutting line, and the part of it without the circle, , is equal to the square of BD, which meets it; the straight '37. S. line BD touches'1 the circle ACD; and because BD touches...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...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 DCA, DB twt straight lines...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 páginas
...convex circumference, For (E.36.3. cor.) the rectangle contained by the one of the lines, so drawn, and the part of it without the circle, is equal to the rectangle contained by the other line and the part of it without the circle ; .-. (E. 16. 6.) the two...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...the other meets the cirde, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to -the square of BD which meets it ; the straight line BD touches (37. 3.) the circle ACD ; and because BD touches...
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