| 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... | |
| Robert Simson - 1827 - 513 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 - 186 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 - 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'. 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 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
...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 - 513 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
...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 - 316 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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