 | John Playfair - 1819 - 354 σελίδες
...DB + CBa=C/D3. Therefore, if a straight line, &c. Q, ED PffP. VII. T If a straight line be-cKvided into any two parts, the squares of the whole line,...equal to twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into... | |
 | John Mason Good - 1819 - 800 σελίδες
...square of the straight line which is made up of the half and. the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line, ajid of one of the parts, are equal to twice the rectangle contained by the whole and that part, together... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED • * ' PROP. VII. THEOR. IF a straight line be divided into any two parts,...the straight line AB be divided into any two parts iu B the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the... | |
 | Euclides - 1821 - 294 σελίδες
...together with the D 5 of the line drawn to base is = to the square of the side. PROP. 7, THEOR. Mf a right line be divided into any two parts, the squares of the whole line and either segment are: equal to double the rectangle under the whole line and that segment, together with... | |
 | Euclid - 1822 - 222 σελίδες
...to the base, equal to the square of the side (2). PROP. VII. THEOR. * Fig. is. If a right line (AB) be divided into any two parts, the squares of the whole line ( AB) and either segment (CB) are together equal to double the rectangle under the whole and that segment,... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...a straight 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.... | |
 | George Lees - 1826 - 276 σελίδες
...the square of half the line. Cor. 3. If a straight line AB, be divided into any ^yo parts, AC, CB, the squares of the whole line, and of one of the parts, are equivalent to twice the rectangle contained by the whole, and that part, together with the square of... | |
 | John Playfair - 1829 - 210 σελίδες
....BC. Therefore, the square &c. QED COR. 1. If a straight line AB be divided into any two parts AC, CB, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and that part together with the square... | |
 | John Playfair - 1832 - 358 σελίδες
...CF «= CD% therefore AD.DB+ CB3 EGF =CD". Therefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts,...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... | |
 | 1836 - 488 σελίδες
...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 into any two parts,...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... | |
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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... 
