 | Thomas Simpson - 1776 - 598 lapas
...confequently, the Square of the ъаЬ+гса Area — • d^^—b-aT — l — Ь — о\г — i ,. , ,, which (becaufe the Difference of the Squares of any two Quantities is equaJ to a Recbngle under their Sum and uifrercncc) will alfo be = 7 — ¿+í X îd+ic+ib + îa—... | |
 | Peter Nicholson - 1823 - 210 lapas
...CD*=BD*. Subtract the second equation from the first, and the result is AC*-BC*=AD*-BD* : but, since the difference of the squares of any two quantities is equal to a rectangle contained by their sum and difference ; therefore (AC+BC)(AC -BC) = (AD+BD) (AD -BD) Whence,... | |
 | James Hann - 1854 - 140 lapas
...C= — -т — . Zab 17. By p. 27, cos 4 = 1 - 2 sin3 ¿ Л, -- --г 26c ^ ^ 26c : 2¿ic Now, since the difference of the squares of any two quantities is equal to the product of the sum and difference of the same quantities, we have (I). Also, by p. 27, cos A =... | |
 | Peter Nicholson - 1856 - 518 lapas
...Subtract the second equation from the first, and the result is AC*— BC'=AD'— BD': л 5 в but, since the difference of the squares of any two quantities is equal to a rectangle contained by their sum and difference ; therefore (AC + BC)(AC— BC) = (AD + BD) (AD —... | |
 | Charles Smith - 1894 - 620 lapas
...20. О (а + &)2-Ос(а + í>) + c2. 115. From tlio formula аг-Ь2 = (а + Ь)(а-Ь), we see that the difference of the squares of any two quantities is equal to the product of the sum and the difference of the quantities. Thus a2 - 4 62, or я2 - (2 6)2, is equal... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 508 lapas
...sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities. RESOLUTION INTO FACTORS. Example.... | |
 | Henry Sinclair Hall, Samual Ratcliffe Knight - 1895 - 214 lapas
...and <Jie difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities. Thus any expression which is the difference... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 552 lapas
...sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference oj the two quantities. Ex. 1. Resolve into factors 25 a;2... | |
 | Henry Sinclair Hall - 1918 - 382 lapas
...sum and the difference of any two quantities is equal to the difference of their squares. Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference oj the two quantities. Ex. 1. Resolve into factors 25 ж2... | |
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The product of the sum and 