| 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... | |
| Euclid - Euclid's Elements - 1789 - 272 pages
...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 reŁtangle of... | |
| Euclid, John Playfair - Electronic book - 1795 - 400 pages
...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 - 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,...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
...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 - 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 Playfair - 1819 - 317 pages
...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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