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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 ... - Página 52
por Euclides - 1853
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## The Elements of Euclid

Euclid - 1838 - 478 páginas
...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. Let the straight line AB be bisected m C, and produced to the point D ; the rectangle AD, DB, together with the square of CB, is equal to...
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## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 páginas
...of half the line bisected, and of the square of the line made up of the half and the part prolonged. Let the straight line AB be bisected in C and produced to the point D : the squares of AD, DB shall be double of the squares of AC, CD. From the point C draw' CE at right angles...
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...equal to the rectangle AD, DB, add to each of these 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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## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...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. Let the straight line AB he bisected in C, and produced to the point D: the rectangle AD, DB, together with the square of CB,...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...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. From the point C draw (Prop. 11.1 .) CE at right...
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## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 páginas
...together equivalent to 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 tothe point r>: the squares of AD, DB are equivalent to double of the squares of AC, CD. From the point...
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## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 páginas
...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...AB be bisected in C, and produced to the point D. Then the rectangle AD, DB, together with the square of CB, shall be equal to the square of CD. ACBD...
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## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 380 páginas
...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...straight line AB be bisected in C, and produced to D ; the rectangle AD.DB, and the square of CB, are equal to the square of CD. Upon CD describe (I....
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## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...double of the square of half the line bisected, and of the square of the line made up of the halfand the part produced. 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. From the point C draw* CE at right angles to...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 páginas
...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. From the point C draw^Prop. 11.1.) CE at right...
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