| Charles Butler - 1814
...product a+or.a— «•= aa — xx ; to each of these equals add xx, and a+xa — x+xx=aa, that b, **the rectangle contained by the unequal parts, together with the square of** (x) the line between the points of section is equal to the square of (a) half the line. QED In the... | |
| Euclides - 1816 - 528 páginas
...PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts, together...line. Let the straight line AB be divided into two** e qual parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together... | |
| John Mason Good - 1819
...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 - 516 páginas
...PROP. V. THEOR. IP a straight line be divided into two equal parts, and also into two unequal parts; **the rectangle contained by the unequal parts, together...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... | |
| Peter Nicholson - 1825 - 372 páginas
...Proposition V. Tlieorem. If a straight line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts, together...equal parts in the point C, and into two unequal parts** at the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square ot CB.... | |
| Euclides - 1826
...of the intermediate distance, is equal to the square made of half the line. Let the right line лв **be divided into two equal parts in the point c, and into two unequal parts** at the point D; the rectangle AD, DB, toether with the square or For describe 2 CEFD, the square of... | |
| Robert Simson - 1827 - 513 páginas
...PROP. V. THEOR. If a straight line be divided into two equal parts and also into two unequal parts ; **the rectangle contained by the •unequal parts, together...equal parts in the point C, and into two unequal parts** at the point D : the rectangle AD, DB, together with the square of CD, shall be equal to the square... | |
| Euclid, Robert Simson - 1835 - 513 páginas
...PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ; **the rectangle contained by the unequal parts, together...equal parts in the point C, and into two unequal parts** at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
| John Playfair - 1836 - 114 páginas
...CPROP. XXI. THEOR. If a straight line lie divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts, together...equal parts in the point C, and into two unequal parts** at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
| 1836 - 472 páginas
...likewise squares. V. If a straight line be divided into two equal parts, and also into two unequal parts ; **the rectangle contained by the unequal parts, together...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... | |
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