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" If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Seite 52
von Euclides - 1853
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 Seiten
...From the point C. draw3 CE at right angles to AB : And make it equal to AC or CB, and join AE, EB ; Let the straight line AB be bisected in C and produced to the point D; the squares of AD, DB are double of the squares of AC, CD. * 3i. i. through E draw ''EF parallel to AB,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...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...be bisected in C and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. Ml. 1. From the point C draw* CE at right angles...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the...line AB be bisected in C, and produced to the point A B k) ; the rectangle AD.DB, together with the square of CB, is equal to the square of CD. Upon CD...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1819 - 348 Seiten
...of it produced, together with the square nf half the. line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight lino AB be bisected in C, and produced to the point A K C T> ] / Ft-. X, / H. M H M D ; the rectangle...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 740 Seiten
...part of it produced, together with the square of half the line bisected, is equal to the 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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...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 of AD, DB are double of the squares of AC, CD. From the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 Seiten
...together with the square of half the line biseeted, is equal to the square of the straight line whieh is made up of the half and the part produced. Let the straight line AB be biseeted in C, and produeed to the point D ; the reetangle AD.DB, together with the square of CB, is...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 Seiten
...the part produced, together with the square of half the line, is equal to t/ie square of the right line, which is made up of the half and the part produced. Let the right line AB be bisected in the point с, and produce it to the point D ; the rectangle AD, DB, together...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 Seiten
...rectangle AM is equal to the gnomon NXO. Let the right line AB be bisected in the point c, and produce it to the point D ; the rectangle AD, DB, together with the square of св, is equal to the square of CD. But AM is the rectangle contained under AD, DB, for DM is equal"...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...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...be bisected in C, and produced to the point D: the squares of AD, DB shall be double of the squares of AC, CD. • 11. 1. From the point C draw *CE at...
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