 | Robert Simson - 1775 - 534 σελίδες
...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 σελίδες
...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... | |
 | Euclid - 1789 - 296 σελίδες
...equal to the fquares of the two parts, together with twice the rectangle of thofe parts. Let the right line AB be divided into any two parts in the point c ; then will the fquare of AB be equal to the fquares of AC, CB together with twice the re£tangle of... | |
 | Euclid, John Playfair - 1795 - 462 σελίδες
...fquare of the ftraight line which is made up of the whole and the firft mentioned part. Let the ftraight line AB be divided into any two parts in the point C ; four times the reftangle AB, BC, together with the fquare of AC, is equal to the fquare of the ftraight... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | John Mason Good - 1813 - 714 σελίδες
...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 - 1816 - 588 σελίδες
..."Y"*"' 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, the rectangle contained by the whole and one ofthe parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
 | John Playfair - 1819 - 354 σελίδες
...AC + AB.BC =AB3. Therefore, if a straight line. &c. Q, ED P "P - ~ J) JH. e K I. 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. Let the straight line AB be divided into two parts in the point C ; the rectangle AB.BC... | |
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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. 
