 | Euclides - 1814 - 560 sider
...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 - 588 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 - 354 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 - 350 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 - 800 sider
...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 - 1046 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 - 326 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 - 210 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 - 584 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 - 358 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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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. 
