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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 84
por John Playfair - 1855 - 318 páginas
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...contained by the whole line which cuts the circle, and the part of it without the circle, shall be tqual to the square of the line which touches it. Let D be any point without the circle ABC, and DCA, the circle, and DB touches the same: The rectangle AD, ( -*v"»' 6B two straight lines drawn from it,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...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,...
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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 páginas
...contained by the whole line which cuts the circle, and the part of it without the circlei shall be equal to the square of the line which touches it. Let D be any point without the circle ABC, and DC A, DBtwo straight lines drawn from it, of which DCA cuts the circle, and DB touches the same; the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...one of which cuts the circle, and the other meets it j 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 of ihe line which meets it, the line which meets shall touch the circle. Let...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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 equivalent to the square of the line which meets it, the line which meets also touches the circle....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...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- of the line which meets it, the line which meets shall touch the circle. Let...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 páginas
...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....ABC, and DCA, DB two straight lines drawn from it, of wfeich DCA cuts the circle, and DB touches the same ; the rectangle AD, DC is equal to the square of...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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 " 37. 3. of BD which meets it,, the straight line BD touches * the circle ACD : and because BD touches...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 páginas
...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...straight lines drawn from it, of which DCA cuts the b6. 2. c 47. 1. circle, and DB touches the same : The rectangle AD, DC is Book III. equal to the square...
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