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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 - Side 36
av Euclid - 1838 - 416 sider
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...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, are 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 sider
...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, are equal...contained by the whole and that part, together with the fquare of the other part. Let the ftraight line AB be divided into any two patts in the F* G LCB D...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...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: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...ftraight line, &.c. PROP. VII. THEOR. IF a ftiaight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the fquare of the other part. Let the ftraight line AB be divided into any two parts in the point C ; the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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 are equal...contained by the whole and that 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...square of the «traight line which U made up of the half and the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the...part, together with the square of the other part. Prop. VIII. Theor. If a straight line be divided into any two parts, four times the rectangle contained...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...DB + CBa=C/D3. Therefore, if a straight line, &c. Q, ED PffP. VII. T If a straight line be-cKvided into any two parts, the squares of the whole line,...equal to twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...square of the straight line which is made up of the half and. the part produced. 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...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...together with the D 5 of the line drawn to base is = to the square of the side. PROP. 7, THEOR. Mf a right line be divided into any two parts, the squares of the whole line and either segment are: equal to double the rectangle under the whole line and that segment, together with...
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The First Six Books with Notes

Euclid - 1822 - 179 sider
...to the base, equal to the square of the side (2). PROP. VII. THEOR. * Fig. is. If a right line (AB) be divided into any two parts, the squares of the whole line ( AB) and either segment (CB) are together equal to double the rectangle under the whole and that segment,...
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