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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal 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... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 48
von Robert Simson - 1762 - 466 Seiten
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...a ftraight line, &c. Q^ED PRO P. VII. THEO R. TF a ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts,...equal to twice the rectangle contained by the whole arid that part, together with the fquare of the other part. "Jj«J the ftraight line AB be divided...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 Seiten
...if a ftraight line, &c. D. PROP. VII. TIIEOR. IF a ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts,...part. Let the ftraight line AB be divided into any two patts in the F* G LCB D M / L H / ic point C ; the fquares of AB, BC are equal to twice the ictingle...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 Seiten
...fquares of the whole line, and one of the parts, are equal to twice the redtangle of the whole line and that part, together with the fquare of the other part. Let the right line AB be divided into any two parts in the point c ; then will the fquares of AB, EC, be equal...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 Seiten
...a ftraight line, &o. Q^ED PROP. VII. THEO R. I Fa ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are equal to twice the redlangle contained by the whole and that part, together with the fquare of the other part. Let the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...if a ftraight line, &c. Q^ED PROP. VII. THEOR. IF a ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts...part, together with the fquare of the other part. 7 t H K / '-£ II. 1. Let the ftraight line AB be divided into any two parts in the Book point C; the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...&c. QED L_ PROP. VII. THEOR. Book II. IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...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 the point C ; the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
...the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. Prop. VIII. Theor. If a straight line be divided into any two parts, four...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...straight line, &c. Q.. ED PROP. VII. THEOR. IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...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 A 5% .Gei" 4tS...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...straight line, &c. Q, ED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...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 the point €...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 798 Seiten
...Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line, ajid of one of the parts, are equal to twice the rectangle...contained by the whole and that part, together with the square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, four...
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