 | Robert Simson - Trigonometry - 1827 - 546 pages
...is equal to the rectangle contained by their sum and difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle...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... | |
 | Hirsch - Algebra - 1827 - 690 pages
...construction is founded on Eue. VI. 13, 17. SECTION LXXIII. Рвов. То produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen... | |
 | Meyer Hirsch - Geometry - 1827 - 288 pages
...construction is founded on Eue. VI. 13, 17. SECTION LXXIII. PROB. To produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
..."(AC+CD)(AC-CD)" PROP. VI. THEOR. If a straight line be bisected, and produced to any point; therect angle contained by the whole line thus produced, and the...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 lino AB be bisected... | |
 | Euclides - 1834 - 518 pages
...difference. PROPOSITION VI. THEOR. — If a straight line be bisected, and produced to any point, lke rectangle contained by the whole line thus produced,...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... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...quantities, is equivalent ta the difference of their squares, B ID PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle...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 part produced. Let the... | |
 | Euclid - 1835 - 540 pages
...equal to the rectangle contained by their sum AD and difference DB. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle...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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...equal to the square of CB. Wherefore, If a straight line, &c. QED PROP. XXII. THEOR. If a straight line be bisected, and produced to any point ; the rectangle...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... | |
 | Mathematics - 1836 - 488 pages
...unequal lines is equal to the rectangle contained by their sum and difference. VI. If a straight line be bisected, and produced to any point ; the rectangle...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... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...c + b, as above stated. Geometrically, this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle...half the line bisected is equal to the square of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may... | |
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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, together with the square... 
