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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: Also the Book of Euclid's Data ...cor. viz. The ... - Page 45
by Robert Simson - 1804
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...rectangle AB, BC, 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...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; the rectangle...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...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,...parts, together with the fquare of the forefaid part. T> ° Let the ftraight line AB be divided into any two parts in the point C; the rectangle AB, BC is...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...any two parts, the reftangle contained by the whole and one of the parts, is equal tq the reftangle contained by the two parts, together with the fquare...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....
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...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, the rectangle...rectangle contained 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...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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...rectangle contained 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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, the rectangle...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 - Geometry - 1816 - 528 pages
...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 - 317 pages
...=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, the rectangle...rectangle contained 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1819 - 333 pages
...Therefore AB.AC + AB.BC =AB2. Therefore, if a straight line. &c. QED D PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whoj.e and one of the parts, is equal to the rectangle contained by the two parts, together with the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1819
...each of the parts, are together equal to the square of the whole line. Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole and one of the parts, is equal to the rectangle contained by the two parts, together with...
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