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" If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... "
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Página 56
por Euclides - 1840
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 364 páginas
...'d under the Line, compounded of the whole and added Line, (taken as one Line,) and the added Line, together with the Square of half the Line, is equal to the Square of the Line compounded of half the Line, and the added Line taken as oat Line. T ET the Right Line AB be blfec*ted...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 397 páginas
...under the Line, compounded of the whole and added Line, (taken at, one Line,") and the added Line, together with the Square of half the Line, is equal to the Square of the Line compounded of half the Lint, and the added Line taken as one Line. LE T the Right Line AB be bifected...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the suaight line AB be bisected in C, and produced to the point D ; the squares...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the squares...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle...
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Easy Introduction to Mathematics, Volumen2

Charles Butler - 1814
...contained by the line produced and part produced, together with the square of half the line bisected, is equal to the square of the line made up of the half, and part produced. QED Cor. Hence, if three lines x, a-\ x, and 2a + r be arithmetically proportional,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to the point D ; the squares...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...rectangle under the whole line and lesser sea:, together with the square of half the greater seg. is = to the square of the line made up of the half and Wser seg. (prop 6, b. 2,) .-. the Q2 of the half is ths fifth part of the Q2 of th-s compound line....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in С and produced to the point D ; the squares...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced, Let the straight line AB be bisected in C, and produced to the point D: the squares...
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