 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...line, &e. Q. E, D. PROP. ViI. THfiOR. Jf a straight line be divided into any two partsj the squares of the whole line, and of one of the parts, are equal to twiee the reetangle eontained by the whole and that part> together with the square of the other part.... | |
 | Euclid - 1826 - 234 pages
...square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ; four times the rectangle contained under AB, вс, together with the square of AC, is equal to the... | |
 | Euclides - 1826 - 226 pages
...square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ; four times the rectangle contained under AB, вс, together with the square of AC, is equal to the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C : the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle contained... | |
 | John Playfair - Geometry - 1829 - 210 pages
...contained by the whole line and each of the parts is equal to the square of the whole line. B Let the line AB be divided into any two parts in the point C; the sum of the rectangles AB.BC and AB.AC is equal to [the square of AB, or AB.AC + AB.BC = AB3. On AB... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...ihali be equal to the rectangle contained by the two parts, together with the tquare of the aforesaid part. Let the straight line AB be divided into any two parts А С, С В : the rectangle under AB, BC shall be equal to the rectangle under AC, С В, tocrether... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...whole and that part, together with the square of the oilier part. Let the straight line AB be divided into any two parts in the point C; the squares of... | |
 | Euclid - 1835 - 540 pages
...straigtd line" &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...straight line AB be divided into any two parts in Book i i- the point C ; the squares of AB, BC are equal to twice the v— v~* rectangle AB, BC, together... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...parts, is equal to the rectangle contained by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into any two parts ia the point C; the rectangle AB, BC is equal to the rectangle AC, CB, together with the square of... | |
 | Mathematics - 1835 - 684 pages
...shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts AC, С В : the rectangle under AB, В С shall be equal to the rectangle under AC, CB, together with... | |
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If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
