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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. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Strona 39
autor: Euclides - 1834
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - Liczba stron: 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 - Liczba stron: 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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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - Liczba stron: 272
...equal to the fquares of the two parts, together with twice the rectangle of thofe parts. Let the right line AB be divided into any two parts in the point c ; then will the fquare of AB be equal to the fquares of AC, CB together with twice the re£tangle of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - Liczba stron: 400
...fquare of the ftraight line which is made up of the whole and the firft mentioned part. Let the ftraight line AB be divided into any two parts in the point C ; four times the reftangle AB, BC, together with the fquare of AC, is equal to the fquare of the ftraight...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - Liczba stron: 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 - Liczba stron: 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Tom 5

John Mason Good - 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 - 1816 - Liczba stron: 528
..."Y"*"' 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, the rectangle contained by the whole and one ofthe parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - Liczba stron: 317
...AC + AB.BC =AB3. Therefore, if a straight line. &c. Q, ED P "P - ~ J) JH. e K I. 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. Let the straight line AB be divided into two parts in the point C ; the rectangle AB.BC...
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