 | 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... | |
 | Robert Simson - 1827 - 546 sider
...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,...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 - 210 sider
...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 - 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'. 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 - 346 sider
...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...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 AB.BC... | |
 | 1833 - 412 sider
...subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. 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... | |
 | Euclid - 1835 - 540 sider
...AB, BC, is 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,...parts, together with the square of the foresaid part. AC Let the straight line AB be divided into any two parts in the point C; the rectangle AB, BC is equal... | |
 | 1835 - 684 sider
...each of the parts, shall be together equal to the square of the whole une. PROP. 31. (Eue. ii. 3.) If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts, together with... | |
 | John Playfair - 1835 - 336 sider
...therefore, multiplying both members of this equality by a, we shall have a'=ab+ad. 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... | |
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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. 
