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" If a straight line be divided into any two parts, the square on the whole line is... "
Elements of Plane and Solid Geometry: And of Plane and Spherical ... - Page 2
by Gerardus Beekman Docharty - 1867 - 283 pages
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 406 pages
...AD . AB is equal to the sum of all the ether rectangles AjJ . AE, AD. EF, AD . FB. c^. ED Corol. If a right line be divided into any two parts ; the square...the whole line, is equal to both the rectangles of die whole line and each of the parts. CB THEOREM XXXI. THE Square of the Sum of two Lines, is greater...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...the other rectangles AD . AE, AD . EF, AD FB q ED Corol If a right line be divided into any two pam ; the square on the whole line, is equal to both the...Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectan ,lc of the said Lines. Or, the Square of a whole Line, is...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...rectangles AD . AE, AD . EF, AD . FB. i}. KD Carol. lf a right line be divided into any two part* ; the square on the whole line, is equal to both the...rectangles of the whole line and each of the parts. THEOREM XXXL THE Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectangle...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...equal to the .-11111 of all the other rectangles AD . AE, AD . EF, AD . FB. 4. c. D. E FB Carol. If a right line be divided into any two parts ; the square...Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectangle of the said Lines. Or, the Square of a whole Line, is...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 1

Charles Hutton - Mathematics - 1825 - 608 pages
...to the sum of ;tll the other «• •* * M rectangles AD . AE, AD . EF, AD . FB. «. ED Corol. If a right line be divided into any two parts ; the square...XXXI. THE Square of the Sum of two Lines is greater that the Sum of their Squares, by Twice the Rectangle of the said Lines. Or the Square of n whole Line,...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...of the two parts together with twice the rectangle contained by the two parts. Or, in other words, the square of the sum of two lines is greater than the sum of their squares by twice the rectangle contained by those lines. IF a straight line be divided...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...the rectangle AC, С В, together with the square of В С. Therefore, &c. PROP. 32. (Eue. ii. 4.) The square of the sum of two lines is greater than the sum of their squares, oy twice their rectangle. Let the straight line AB be the sum of the two straight...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 660 pages
...AD. AB is equal to the sum of all ihe other rectangles AD . AE, AD . EF, AD . FB. QED B FB Carol. If a right line be divided into any two parts, the square...square of the sum of two lines, is greater than the sum of their squares, by twice the rectangle of the said lines. Or, the square of a whole line, is...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 632 pages
...AE, AD . EF, AD . FB. QED E FB Carol. If a right line be divided into any two parts, the square ou the whole line, is equal to both the rectangles of...square of the sum of two lines, is greater than the sum of their squares, by twice the rectangle of the said lines. Or, the square of a whole line, is...
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The Mechanic's Calculator, Or Workman's Memorial Book ...

William Grier - Mechanical engineering - 1832 - 366 pages
...25.) and AE, and AD and FB : thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.»— (Fig. 26.) If a right line be divided into any two parts, the square...rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any two lines AC, CB ; then will the square of AB be equal to the...
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