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Books Books 1 - 10 of 180 on If a straight line be divided into any two parts, the squares of the whole line and....  
" 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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 53
by Euclid - 1837 - 390 pages
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...line, &c. Q^ED PROP. VII. THEOR. TF a ftraight line be divided into any two- parts, rhe •*, 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 D B E point...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...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 pages
...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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...line, &c. Q^ ED PROP. 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 reftangle contained by the whole and that part, together with the fquare of the other part. A K CB...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...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 ...

Trigonometry - 1799 - 351 pages
...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 - Trigonometry - 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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. IF a straight line be divided into any two parts,...contained by the whole and that part, together with tbe square of the other 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
...the 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,...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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. IF a straight line be divided into any two parts,...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...
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