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Bøker Bok 110 av 133If a straight line be divided into any two parts, the rectangle contained by the...
" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The Elements of Euclid - Side 41
av Euclid - 1838 - 416 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...fquare of AB. If therefore a ftraight line, &c. Q^ED PROP. III. THEORi IF a ftraight line be divided into any two parts, the rectangle contained by the...rectangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into any two parts in the point C...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...fquare of AB. If therefore a ftraight be, &c. Q^ED PROP. HI. THEO R. TF a ftraight line be divided into any two parts, the rectangle contained by the...rectangle contained by the two parts, together with the fquare of the forcfuid part. Let the ftraight line AB be divided into any two parts in the point C;...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...a itraight line, &c. QED PROP. III. THEOR. tF a fbaight line be divided into any two parts, thd *. rectangle contained by the whole and one of the parts,...rectangle contained by the two parts, together with the fquare of the forefaid part. T> ° Let the ftraight line AB be divided into any two parts in the point...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...ftraight line, &c. Q^ED PROP. III. THEOR. IF a ftraight line be divided into any two parts, the redtangle contained by the whole, and one of the parts, is equal...rectangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into any two parts in the point C...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...fquare of AB. If therefore a ftraight line, &c. Q^ED PROP. III. THEOR. j IF a ftraight line be divided into any two parts, the rectangle contained by the...rectangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into any two parts in the point C;...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...reftangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into two parts in the point C ; the reftangle AB.BC is equal to the rtftangle AC.BC, together with BC2. Upon a 46. i. Book II. Upon BC...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 sider
...square of AB. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts, the rectangle contained by the...foresaid part. Let the straight line AB be divided into any two parts in the point C ; the rectangle AB, BC is equal to the rectangle AC, CB, together with...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...if a straight line, &c. QED CB D a 46. 1. b 31. 1. PROP. III. THEOR. IF a straight line be divided into any two parts, the rectangle contained by the...parts, together with the square of the foresaid part. sr~"~~-~^ i - f ^ I .... > . ;i Let the straight line AB be divided into two parts in the point C;...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...square of AB. If therefore a straight line, &c. QED PROP. HI. THEOR. IF a straight line be divided into any two parts, the rectangle contained by the...the rectangle AB, BC is equal to the rectangle AC, CB, together with the square of BC. Upon BC describe » the square ACB a & CDEB, and produce ED to...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...are together equal to the square of the whole line. Prop. III. Theor. If a straight line be divided into any two parts, the rectangle contained by the...rectangle contained by the two parts, together with the aquarc of the foresaid part. Prop. IV. Theor. If a straight line be divided into any two parts, the...
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