 | John Mason Good - 1819 - 800 σελίδες
...parts, and also into two um quäl parts j the rectangle contained by the unequal parts, togotherVrith the square of the line between the points of section, is equal to the square of half the line. Prop. VI. Theor. If a straight line be bisected, and produned to any point; the rectangle contained... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...about the diameter of a square are likewise squares. PROP. V. THEOR. IP a straight line be divided into two equal parts, and also into two unequal parts;...section, is equal to the square of half the line. i H M Let the straight line AB be divided into two equal parts in the point C, and into two unequal... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...straight line be divided into two equal parts, and also into two unequal parts ; the reetangle eontained by the unequal parts, together with the square of the line between the points of seetion, is equal to the square of half the line. Let the straight line AB be divided into two equal... | |
 | John Playfair - 1832 - 358 σελίδες
...a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parls, and also into two unequal parts; the rectangle contained...equal parts in the point C, and into two unequal parts in the point D; the rectangle AD DB, together with the square of CD, is equal to the square of CB,... | |
 | John Playfair - 1833 - 346 σελίδες
...about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ;...equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square of CB,... | |
 | John Playfair - 1836 - 488 σελίδες
...about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts;...square of half the line. Let the straight line AB he .divided into two equal parts in the point C, and into two unequal parts in the point D ; the rectangle... | |
 | 1836 - 488 σελίδες
...parallelograms about the diameter of a square are likewise squares. V. If a straight line be divided into two equal parts, and also into two unequal parts ;...section, is equal to the square of half the line. COR. From this proposition it is manifest, that the difference of the squares of two unequal lines... | |
 | John Playfair - 1837 - 332 σελίδες
...(a+i)2 =a*+2a6+62. PROP. V. THEOR. If a straight line le divided into two equal parts, andalsointo two unequal parts; the rectangle contained by the...equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD. DB, together with the square of CD, is equal to the square of CB,... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...the parts is equal to the square of one of them. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts ;...square of half the line. Let the straight line AB be bisected in C, and divided unequally in D : the rectangle AD.DB, together with the square of CD, is... | |
 | Andrew Bell - 1837 - 290 σελίδες
...AC, CB, and twice the rectangle AC-CB. PROPOSITION V. THEOREM. . If a straight line be divided into two equal parts, and also into two unequal parts,...square of half the line. Let the straight line AB he divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle... | |
| |
If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 
