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" 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. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - Halaman 190
oleh Peter Nicholson - 1825 - 372 halaman
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 halaman
...is equal to the 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...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 - 534 halaman
...is equal to the 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...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 - 552 halaman
...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 - 374 halaman
...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 - 530 halaman
...equal to the 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...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 ...

John Playfair - 1806 - 320 halaman
...Therefore AB.AC+ AB.BC=AB2. Therefore, 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,...by the two 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 halaman
...rectangle AB, BC, is equal to the square of AB. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts,...by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into any two parts in the point C ; the rectangle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 halaman
...to 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 ;he point C ; the squares of AB, BC *re equal to twice the rect- Book II. ingle AB, BC, together with...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 halaman
...whole and each of the parts, are together equal to the square of the whole line. Prop. III. Theor. If a straight line be divided into any two parts,...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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 halaman
...'~^v~*' AB.BC is equal to the square of AB. Il therefore :i straight line,&c. QED PROP. III. THliOR. IF a straight line be divided into any two parts,...contained by the two parts, together with the square or' the aforesaid part. Let the straight line AB be di\ided into two parts in the point C; the rectangle...
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