 | Pierce Morton - 1830 - 584 pàgines
...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... | |
 | Euclides - 1834 - 518 pàgines
...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 to twice the rectangle contained...any two parts in the point C : the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with the square of AC. • 46. 1. Upon AB, describe... | |
 | Euclid - 1835 - 540 pàgines
...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 to twice the rectangle contained...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... | |
 | 1835 - 684 pàgines
...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... | |
 | Robert Simson - 1835 - 544 pàgines
...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... | |
 | 1836 - 488 pàgines
...produced. VII. 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...part, together with the square of the other part. Сон. Hence the sum of the squares of any two lines is equal to twice the rectangle contained by... | |
 | John Playfair - 1837 - 332 pàgines
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and of one. of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. L et the straight line AB be divided into any J^ CB two parts in the point C ; the squares of AB, BC,... | |
 | Euclid, James Thomson - 1837 - 410 pàgines
...other part, is equal to the square of the straight line which is made up of the whole and the former part. Let the straight line AB be divided into any two parts in C ; * Otherwise — Because (II. 4.) AB» == AC» + BC» + 2AC.BC, add BC8 to both; then AB8 + BC»=... | |
 | Euclides - 1837 - 112 pàgines
...Theorem. 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 line and that part, together with the square of the other part. i> K Proved by showing that AB* + uc*... | |
 | Andrew Bell - 1837 - 290 pàgines
...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 is equal to the squares of AC, CB, and to twice the rectangle contained by AC'CB.... | |
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If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... 
