| Robert Simson - Trigonometry - 1775 - 520 pages
...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 - 520 pages
...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 - Trigonometry - 1799 - 351 pages
...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 - Trigonometry - 1804
...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 - Euclid's Elements - 1806 - 311 pages
...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, Olinthus Gilbert Gregory - 1813
...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 - Euclid's Elements - 1816 - 528 pages
..."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, Olinthus Gilbert Gregory - 1819
...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 - Circle-squaring - 1819 - 333 pages
...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 - Mathematics - 1825 - 372 pages
...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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