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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Seite 41
von Euclides - 1816 - 528 Seiten
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 442 Seiten
...contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB, •viz. ADEB. Therefore the Square of AB is equal to the Squares of AC, CB, together with twice the Rectangle contained under AC, C B. Wherefore, if a. Right Line be -any how...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 397 Seiten
...contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB, w*. ADEB. Therefore the Square of AB is equal to the Squares of AC, CB, together with twice the Re&angle contained under AC, CB. Wherefore, if a Right Line be any how cut,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...a ftraight line be divided into any two parts, the fquare of the whole line is equal to the fquafes of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C ; the fquare of AB is equal to the fquares of AC,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...a flraight line be divided into any two parts, the fquare of the whole line is equal to the fquares of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C; the fquare of AB is equal to the fquares of AC,...
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 Seiten
...are at the oppofite Angles of the Parallelograms which make the Gnomon. Pl.zF14. 119. THEOREM i. If a Line AB be divided into any two Parts in C, the Square of the whole Line AB, viz. ABED, is equal to the Squares of the two Parts AC, CB, together with twice...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...ftraight line be divided into any two parts, the •*• fquare of the whole line is equal to the fquares of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C i ike fquire of AB is equal to the fquares of AC,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 Seiten
...Let the ftraight line AB be divided into any two parts in C; the fquare of AB is equal to the fquares of AC, CB and to twice the rectangle contained by AC, CB. Book II. Upon AB ikforibe a the fquare ADEB, and join BD, and thro' C draw "> CGF parallel to AD or...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...ftraight line be divided into any two parts, the fquare of the whole line is equal to trie fquares of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C ; the fquare of AB is equal to the fquares of AC,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...other part, is equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C ; four times the rectangle AB, BC, together with the square of AC, is equal to the square...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...equal to the square of the straight line which is made up of the whole and the firstmentioned part. Let the straight line AB be divided into any two parts in the point C ; four times the rectangle AB.BC, together with the square of AC, are equal to the square...
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