| Charles Butler - Mathematics - 1814 - 528 pages
...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 pages
...likewise squares. 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...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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two uneqtial **parts ; the rectangle contained by the unequal parts,...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, or AD.DB+CD2-... | |
| John Playfair - 1819 - 317 pages
...likewise squares. 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...half the line. Let the straight line AB be divided** into%two equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD.DB,... | |
| John Mason Good - 1819 - 740 pages
...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 - Geometry - 1821 - 514 pages
...likewise squares. 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...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 - Mathematics - 1825 - 372 pages
...squares. 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...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.... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...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... | |
| Euclides - 1826 - 226 pages
...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 - Trigonometry - 1827 - 513 pages
...likewise squares. 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...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... | |
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