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" IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 38
av Euclides - 1834
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 sider
...d ; then, A(b-\-c-\-d) = Ai+Ac-f- Ad. PROP. II. THEOR. If a straight line be divided' into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. CB Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC, together...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...undivided line, and the several parts of the divided line. II. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. III. If a straight line be divided into any two parts, the rectangle contained by the whole and one...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC. Upon AB...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 sider
...THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole ana each of the parts, are together equal to the square of the whole line. ~ C D E Let the straight line AB be divided into any two parts in the point C ; the rectangle t AB.BC,...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...are = A x BD + A x BE + AX EC. PROPOSITION II. Theorem. If a straight line be divided J. into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. B iT~E Proved by showing that AB* = figures AF + CE ; and that these are = AB x AC + AB x BC. PROPOSITION...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...c, and d ; then, A(6+c-|-<i)=A4+Ac+A5. PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. •' c B Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...of the whole line is equal to the squares of the two parts, together with twice their rectangle, t Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC and CB, together with twice the rectangle under...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC'CB....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 sider
...if there be two straight lines, &c. QED PROP. II. THEOR. IF a straight line be divided into any two parts, the rectangles contained by the whole and each...line. Let the straight line AB be divided into any A two parts in the point C; the rectangle contained by AB, BC, together with the rectangle* AB, AC,...
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