 | Euclid - 1838 - 478 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. 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 - 1838 - 264 Seiten
...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... | |
 | Robert Simson - 1838 - 434 Seiten
...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... | |
 | Euclides - 1841 - 378 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. 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 - 1842 - 332 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. From the point C draw (Prop. 11.1 .) CE at right... | |
 | Euclides - 1842 - 320 Seiten
...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... | |
 | Euclides - 1845 - 544 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...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... | |
 | Euclid, James Thomson - 1845 - 380 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...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.... | |
 | Euclid - 1845 - 218 Seiten
...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... | |
 | John Playfair - 1846 - 332 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. From the point C draw^Prop. 11.1.) CE at right... | |
| |
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... 
