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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 ... - الصفحة 192
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - عدد الصفحات: 466
...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 - عدد الصفحات: 520
...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 - عدد الصفحات: 520
...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 - عدد الصفحات: 351
...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
...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 - عدد الصفحات: 311
...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: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - عدد الصفحات: 518
...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 - عدد الصفحات: 518
...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) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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
...'~^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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