 In any proportion the terms are in proportion by composition and division ; that is, the sum of the first two terms is to their difference as the sum of the last two terms to their difference.  The Elements of Geometry - Σελίδα 123των Webster Wells - 1894 - 378 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Silvestre François Lacroix - 1825 - 324 σελίδες
...we make m = 1, we have simply 6 -f- a: b — a : : d + c : d — c, which may be enunciated thus ; The sum of the first two terms is to their difference as the sum of the last two is to their difference. 225. The proportion a : b : : c : d may be written thus ; a : c : : b : d;... | |
 | William Smyth - 1830 - 278 σελίδες
...whence making ro= 1, we have b-\- a:b — a:;d + c:d — c a proportion which may be enunciated thus The sum of the first two terms is to their difference, as the sum of the last two is to their difference. 180. The proportion n : l::c : d may be written thus, a : c::b : d, we have... | |
 | Silvestre François Lacroix - 1831 - 324 σελίδες
...we make m •=. I, we have simply b + a ib — ai id -\- c id — c, which may be enunciated thus ; The sum of the first two terms is to their difference as the sum of th» last two is to their difference. 225. The proportion aib ncid may be written thus ; aici ib id;... | |
 | Benjamin Peirce - 1837 - 302 σελίδες
...of the last two, or as the first term is to the third, or as the second is to the fourth. Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their difference. Moreover, in finding these sums and differences, both the antecedents may be... | |
 | Benjamin Peirce - 1837 - 300 σελίδες
...of the last two, or as the first term is to the third, or as the second is to the fourth. Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their difference. Moreover, in finding these sums and differences, both the antecedents may be... | |
 | Benjamin Peirce - 1837 - 216 σελίδες
...of the last two, and as the first term is to the third, or as the second is to the fourth. Likewise, the sum of the first two terms is to their difference, as the sum of the last two is to their difference. Two proportions, as A :B = CD and E : F = G '. Hy may evidently be multiplied... | |
 | Thomas Sherwin - 1841 - 320 σελίδες
...the last two, as the difference of the first two terms is to thf. difference of the last two ; also, the sum of the first two terms is to their difference,...sum of the last two terms is to their difference. Remark. It is manifest that the last two proportions might be written thus : a-\-b :c-\-d=a — b:c... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...c : c, or b : b — a : : d : d — c, &c. 7. Adding and subtracting, a-\-b:a — b::c-\-d:c — d. That is, the sum of the first two terms, is to their difference, as the sum of the last two, to their difference. Cor. If any compound quantities, arranged as in the preceding examples, are proportional,... | |
 | Benjamin Peirce - 1847 - 204 σελίδες
...the difference of the first two terms is to the difference of the last two in the same ratio ; also the sum of the first two terms is to their difference as the sum of the last lilo is to their difference. Proof. The proportion A:B= C : D gives, by transposing the means, A :... | |
 | William Smyth - 1847 - 276 σελίδες
...whence making m = 1, we have b-\-a:b — a::d-\-c:d — c, a proportion which may be enunciated thus, The sum of the first two terms is to their difference, as the sum of the last turn is to their difference. 165. The proportion a : b : : c : d may be written thus, a : c : : b :... | |
| |
