 | Robert Simson - 1775 - Liczba stron: 534
...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 - Liczba stron: 552
...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 - Liczba stron: 374
...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 - Liczba stron: 530
...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 - Liczba stron: 320
...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,...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 the point C;... | |
 | John Mason Good - 1813 - Liczba stron: 714
...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 - Liczba stron: 588
..."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 Mason Good - 1819 - Liczba stron: 800
...the whole and each of the parts, are together equal to the square of the whole line. Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole and one of the parts, is equal to the rectangle contained by the two parts, together with... | |
 | John Playfair - 1819 - Liczba stron: 350
...AE = AB2. Therefore AB.AC + AB.BC =AB2. Therefore, if a straight line. &c. QED D PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whoj.e and one of the parts, is equal to the rectangle contained by the two parts, together with the... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...BC, is equal to the gquare of AB. If therefore a straight line, &c. QED Propotition III. Tlieorem. If a straight line be divided into any two parts,...contained by the two parts together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in the point С ; 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. 
