 | John Playfair - Euclid's Elements - 1836 - 488 pages
...of half the line bisected, is equal to the square of the straight line which is made up of the hay' and the part produced. Let the straight line AB be bisected in C, and produced to the point D; the rectangle AD.DB, together with the square of CB, is equal to the square of CD. Upon CD describe... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...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....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 G draw (Prop. 11.1.) CE... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...line AB be bisected in C, and produced to the point D ; the rectangle AD • DB, together with the square of CB, is equal to the square of CD. Upon CD describe... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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....straight line AB be bisected in C, and produced to D ; the squares of AD, DB are double of the squares of AC, CD. From C draw (I. 11.) CE perpendicular... | |
 | Euclides - 1838 - 264 pages
...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...line AB be bisected in C, and produced to the point D : the rectangle AD-DB, together with the square of CB, shall be equal to the square of CD. Upon CD... | |
 | Euclid - Geometry - 1838 - 470 pages
...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... | |
 | Euclides - Geometry - 1841 - 378 pages
...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,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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....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 (Prop. 11.1 .) CE... | |
 | Euclides - 1842 - 316 pages
...produced, are 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....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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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....straight line AB be bisected in C, and produced to D ; the squares of AD, DB are double of the squares of AC, CD. From C draw (I. 11) CE perpendicular... | |
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If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the... 
