| Euclides - 1814
...square of AB. Il therefore :i straight line,&c. QED PROP. III. THliOR. IF a straight line be divided **into any two parts, the rectangle contained by the...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... | |
| Euclides - 1816 - 528 sider
...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 sider
...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, the rectangle contained by the...divided into two parts in the point C ; the rectangle** AB.BC is equal to the rectangle AC.BC, together with BC3. Upon BC describe (46. 1.) the J^ C ' 33 square... | |
| John Playfair - 1819 - 333 sider
...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...divided into two parts in the point C ; the rectangle** AB.BC is equal to the rectangle AC.BC, together with BC2. Upon BC describe (46. 1.) the A n "R square... | |
| John Mason Good - 1819
...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** tiie square of the furesaicl part. Prop. IV. Theor. If a straight line be divided into any two parts,... | |
| Peter Nicholson - 1825 - 372 sider
...AB. If therefore a straight line, &c. QED Propotition III. Tlieorem. If a straight line be divided **into any two parts, the rectangle contained by the...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... | |
| Euclid, John Playfair - 1826 - 320 sider
...D FE QED PROP. III. THEOR. If a straight line be divided into any to parts, the reetangle eontained **by the whole and one of the parts, is equal to the** reetangle eontained by the two parts, together with the square of the foresaid part. Let the straight... | |
| John Playfair - 1829 - 186 sider
...line. ..If a straight line be divided into any two parts, the rectangle contained by the whole line **and one of the parts is equal to the rectangle contained...parts together with the square of the foresaid part.** If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
| Pierce Morton - 1830 - 272 sider
...divided into any tico parts, the rectangle contained by the tchole line and one of the parts, ihali be **equal to the rectangle contained by the two parts, together with the** tquare of the aforesaid part. Let the straight line AB be divided into any two parts А С, С В :... | |
| John Playfair - 1832 - 333 sider
...AB.AC+AB.BC=AB'. Therefore, if a straight line, &c.QED G F K. LH A PROP. III. THEOR. If a straight line be divided **into any two parts, the rectangle contained by the...the rectangle contained by the two parts, together** ivith the square of the aforesaid part. Let the straight line AB be divided into two parts in the point... | |
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