 | Robert Simson - Trigonometry - 1827 - 546 pages
...difference. PROP. VI. THEOR. 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, 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... | |
 | Euclid - 1835 - 540 pages
...difference DB. PROP. VI. THEOR. 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, together ivith the square of half the line bisected, is equal to the square of the straight line which is made... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...is usually enunciated : " 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, 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... | |
 | Mathematics - 1836 - 488 pages
...their sum and difference. VI. 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, 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... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...is usually enunciated : " 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, 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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...&c. QED PROP. XXII. THEOR. 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, 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... | |
 | 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.... | |
 | 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 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 G draw (Prop.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...the other. PROP. VI. THEOR. 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, 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...difference. PROPOSITION VI. THEOREM. 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, 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... | |
| |
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, together with the square... 
