 | Peter Nicholson - 1825 - 1046 σελίδες
...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, the rectangle...rectangle 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... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...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 - 546 σελίδες
...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, the rectangle...rectangle 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:... | |
 | John Playfair - 1829 - 210 σελίδες
...and x be equal to s, then sx = ax + bx becomes ss = <zs + bs. PROPOSITION III. THEOREM. 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 square of that part together with the rectangle contained... | |
 | Pierce Morton - 1830 - 584 σελίδες
...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 σελίδες
...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...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 - 346 σελίδες
...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...rectangle 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... | |
 | 1833 - 412 σελίδες
...If a straight line be divided into any two parts, the rectangle contained OCT. 1832— JAN. 1833. B 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. 5. If a straight line be divided into any two parts, the square of the... | |
 | Euclid - 1835 - 540 σελίδες
...equal to the square of AB. " If, therefore, a straight line," &c. QED PROP. III. THEOH. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the foresaid part. AC Let the straight line AB be divided into any two parts in the point... | |
 | John Playfair - 1835 - 336 σελίδες
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by Ike whole and one of the parts, is equal to the rectangle 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 ;... | |
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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. 
