 | Robert Simson - 1762 - 488 Seiten
...is equal to the fquare of AB. If therefore a ftraight line, &c. Q^ED PROP. III. THEORi IF a ftraight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into any two parts in the point C... | |
 | Robert Simson - 1775 - 534 Seiten
...is equal to the fquare of AB. If therefore a ftraight be, &c. Q^ED PROP. HI. THEO R. TF a ftraight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the fquare of the forcfuid part. Let the ftraight line AB be divided into any two parts in the point C;... | |
 | Euclid - 1781 - 552 Seiten
...a itraight line, &c. QED PROP. III. THEOR. tF a fbaight line be divided into any two parts, thd *. rectangle contained by the whole and one of the parts,...rectangle contained by the two parts, together with the fquare of the forefaid part. T> ° Let the ftraight line AB be divided into any two parts in the point... | |
 | Alexander Ingram - 1799 - 374 Seiten
...ftraight line, &c. Q^ED PROP. III. THEOR. IF a ftraight line be divided into any two parts, the redtangle contained by the whole, and one of the parts, is equal...rectangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into any two parts in the point C... | |
 | Robert Simson - 1804 - 530 Seiten
...equal to the fquare of AB. If therefore a ftraight line, &c. Q^ED PROP. III. THEOR. j IF a ftraight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the fquare of the forefaid part. Let the ftraight line AB be divided into any two parts in the point C;... | |
 | John Playfair - 1806 - 320 Seiten
...Therefore AB.AC+ AB.BC=AB2. Therefore, if a straight line, &c. QED CB D a 46. 1. b 31. 1. PROP. III. THEOR. IF a straight line be divided into any two parts,...by the two parts, together with the square of the foresaid part. sr~"~~-~^ i - f ^ I .... > . ;i Let the straight line AB be divided into two parts in... | |
 | Robert Simson - 1806 - 546 Seiten
...rectangle AB, BC, is equal to the square of AB. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts,...by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into any two parts in the point C ; the rectangle... | |
 | Euclid - 1810 - 554 Seiten
...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 into any two parts in ;he point C ; the squares of AB, BC *re equal to twice the rect- Book II. ingle AB, BC, together with... | |
 | John Mason Good - 1813 - 714 Seiten
...whole and each of the parts, are together equal to the square of the whole line. Prop. III. Theor. If a straight line be divided into any two parts,...rectangle contained by the two parts, together with the aquarc of the foresaid part. Prop. IV. Theor. If a straight line be divided into any two parts, the... | |
 | Euclides - 1814 - 560 Seiten
...'~^v~*' AB.BC is equal to the square of AB. Il therefore :i straight line,&c. QED PROP. III. THliOR. IF a straight line be divided into any two parts,...contained by the two parts, together with the square or' the aforesaid part. Let the straight line AB be di\ided into two parts in the point C; the rectangle... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
