 | John Playfair - Euclid's Elements - 1832 - 358 pages
...are together double of the square, of half ' the line bisected, and of the square of the line madeup of the half and the part produced. Let the straight...line AB be bisected in C, and produced to the point ,l__ __ _ _.PA TV TVT) .] Ul „ ~f ±1 , „ C \ f*> /"'~T\ EF parallel to AB, and through D draw... | |
 | Euclides - 1834 - 518 pages
...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...rectangle AD, DB, together with the square of CB, shall be equal to the square of CD. Upon CD, describe * the square CEFD, join DE ; and through B, draw... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...part of it produced, together with the square of half the line bisected, is equ2l to the square of the straight line which is made up of the half and the...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 (Prob. 18. 1.)... | |
 | Euclid - 1835 - 540 pages
...produced, are together double of the square of half tfie 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" CE at right angles to... | |
 | John Playfair - Geometry - 1836 - 148 pages
...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 (9. 1.) CE at right angles... | |
 | 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 " the square... | |
 | Mathematics - 1836 - 488 pages
...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. VII. If a straight line be divided into any two parts, the squares of the whole line, and of one of... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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.... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...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 G draw (Prop. 11.1.) CE at right... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...the straight line AB he divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD • DB, together with the square of CD, is equal to the square of CB. Upon CB describe the square CEFB (I. 46) ; join BE, and through D... | |
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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... 
