| John Playfair - 1819 - 333 sider
...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... | |
| Peter Nicholson - 1825 - 372 sider
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. **Let the straight line AB be divided into any two parts in** С ; the square of AB is equnl to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
| Euclid - 1826 - 180 sider
...rectangle contained under the whole line and one of its parts is equal to the rectangle contained under **the two parts, together with the square of the aforesaid part.* Let the** right line AB be divided into any two parts in the point c; the rectangle AB, вс, is equal to the... | |
| Euclides - 1826
...rectangle contained under the whole line and one of its parts is ecfual to the rectangle contained under **the two parts, together with the square of the aforesaid part.* Let the** right line AB be divided in to any two parts in the point c; the rectangle AB, вс, is equal to the... | |
| 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
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. **Let the straight line AB be divided into any two parts in** C : the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle contained... | |
| 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... | |
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