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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. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 53
por Euclides - 1853
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 páginas
...Show that the straight line joining BD in the above figure passes through G. G K F PROP. 7. THEOR. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts will be equal to twice the rectangle contained by the whole...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 páginas
...rectangle AB, BC, is equal to the square on AB. Wherefore, if a straight line &c. QID PROPOSITION 3. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two...
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The Practical Teacher; with which is Incorporated the Practical ..., Volumen2

Joseph Hughes - 1883
...similar establishment. Euclid. MALES. {All generally understood abbreviations for rtwvu may be used.] I. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...CMG is equal to the rectangle AD, DB : add to each LG which is equal to the square of CB ; therefore the rectangle AD, DB, together with the square of CB, is equal to the gnomon CMG, and the figure LG; but the gnomon CMG and LG make up the whole figure CEFD, which is the...
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Yale Examination Papers

F. B. Stevens - 1884 - 175 páginas
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...sides of a triangle is greater than the square on the third side, the triangle is acute-angled. ó. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 642 páginas
...number of linear feet in the perimeter; find the sides of the rectangle. (20.) Section B. 27. Show that if a straight line be divided into any two parts, the squares on the ivhole line and on one of the parts are equal to twice the rectangle contained by the whole...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 páginas
...to AB to meet AD in H and BC in G; the triangles AGF, AEH&ce. together equal to the triangle ABC. 4. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 páginas
...violate Euclid's sequence of propositions. Great importance will be attached to accuracy,^ 1. Prove that, if a straight line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...AB, BC (in sq. in. ) = pr, = (q + r)r, = area of reet. AC, CB + a re a ofsq. on CB . PROPOSITION 4. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle...
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