 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...we ought to employ neither of these, but take for the unknown quantity one which depends equally on both ; that is. their half sum, or their half difference,...simple than by employing either the one or the other. 4. The question we have resolved, (Prob. VI,) may be used to illustrate what is here said. In this... | |
 | Nathan Scholfield - 1845 - 894 pages
...foreseen that such would lead to the tame equation, (the signs + and — exccpted) ; then we ought to employ neither of these, but take for the unknown quantity one which depends equally on both ; that is, their half sum, or their half difference, or a mean proportional between them, or... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...foreseen that such would lead to the same equation, (the signs + and — excepted) ; then we ought to employ neither of these, but take for the unknown quantity one which depends equally on both ; that is. their half sum, or their half difference, or a mean proportional between them, or... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...foreseen that such would lead to the tame equation, (the signs + and — excepted) ; then we ought to employ neither of these, but take for the unknown quantity one which depends equally on both ; that is, their half sum, or their half difference, or a mean proportional between them, or... | |
 | George Clinton Whitlock - Mathematics - 1848 - 338 pages
...foreseen that each would lead to the same equation (the signs -\- and — excepted) ; then we ought to employ neither of these, but take for the unknown...difference, or a mean proportional between them, or, &c." Thus, suppose it were required to find two numbers such that their sum should be 4 and the sum of their... | |
 | George Clinton Whitlock - Mathematics - 1848 - 340 pages
...be foreseen that each would lead to the same equation (the signs + and — excepted) ; then we ought to employ neither of these, but take for the unknown...difference, or a mean proportional between them, or, 4fcc." Thus, suppose it were required to find two numbers such that their sum should be 4 and the sum... | |
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... both ; that is. their half sum, or their half difference, or a mean proportional between them, or &c., and we shall always arrive at an equation more simple than by employing either the one or the other. 