| John Playfair - 1819 - 333 páginas
...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... | |
| John Mason Good - 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... | |
| Euclid, Robert Simson - 1821 - 516 páginas
...AB, BC, is equal to the square of AB. If therefore a straight line, &c. Q> ED PROP. III. THEOR. IP **a straight line be divided into any two parts, the...contained 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... | |
| Peter Nicholson - 1825 - 372 páginas
...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... | |
| Euclid, John Playfair - 1826 - 320 páginas
...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... | |
| Robert Simson - 1827 - 513 páginas
...angle AB, BC, is equal to the square of AB. fore a straight line, &c. QED If thereFD PROP. III. THEOR. **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 C: the rectangle... | |
| John Playfair - 1829 - 186 páginas
...contained by the whole line and each of the parts are together equal to the square of the whole 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 by the two parts together with the square... | |
| Pierce Morton - 1830 - 272 páginas
...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 páginas
...AB'. Therefore 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 two parts, together** ivith the square of the aforesaid part. Let the straight line AB be divided into two parts in the point... | |
| John Playfair - 1833 - 333 páginas
...AB.AC+AB.BC=AB2. Therefore, if a straight line, &c. QED D IT E: 14 i A. PROP. III. THEOR. If a straight line he **divided into any two parts, the rectangle contained...contained by the two parts, together with the square** of the aforesaid part. Let the straight line AB be divided into two parts in the point C ; the rectangle... | |
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