Books Books Terms ; any three of which being given, the other two may be found. This gives rise to twenty distinct cases, a few of the more important of which will be here presented. A Written Arithmetic, for Common and Higher Schools: To which is Adapted a ... - Page 306
by George Augustus Walton - 1864 - 348 pages ## Arithmetic: In Two Parts: Containing. A system of the art in memorial verses ...

Solomon Lowe - Arithmetic - 1749 - 334 pages
.../. (3) The number of terms, n. (4) The common difference, J. (5) The fum of all the terms, s : (II) any three of which being given, the other two may be found : as may be feen in a feries of 20 proportions in Oughtred's clavis math. 29. 4. Seealfo Malcolm, arithm.... ## Arithmetical Collections and Improvements: Being a Complete System of ...

Anthony Birks, John Birks - Arithmetic - 1766 - 640 pages
...Alfo42 . 35 . 28 . 2i . 14. 7_j_ common difference 7. In an arithmetical progreflion are five things ; any three of which being given, the other two may be found, which admit of twenty different propofitions« 3 I. The 3 105 35 5 105 21 7 105 15 15 105 7 21 105... ## Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - Arithmetic - 1772 - 376 pages
...16 : 32 : 64 feries. In a geometrical progreffion, or feries, five things occur to be conf1dered j any three of which being given, the other two may be found. The five things are, 1. The leaft term, 1 v II. The>eateftterm.fExtremes' III. The number of terms.... ## A Compendium of Practical Arithmetick

John Thomas Hope - Arithmetic - 1790 - 430 pages
...2. Alfo 42, 35,28,21, 14, 7, common difference 7. In an Arithmetical Progreffion are five tiling«, any three of which being given the other two may be found,' which admit of twenty different proportions. lit. The firft term commonly the bail."} 2d, The laft... ## Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 2

Samuel Webber - Mathematics - 1808 - 520 pages
...Problem, are the latitude of the place, and the sun's altitude, decimation, and azimuth, and the hour ; any three of which being given, the other two may be found by^the solution of an oblique spheric triangle. Hence several useful Problems are formed, three of... ## A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - Arithmetic - 1822 - 436 pages
...: 4 : 8 : 16 : 32:64. In a geometrical progression, or series, five things occur to be considered ; any three of which being given, the other two may be found. The five things arc, 1. The least term. tc , o TU ... t Extremes. 2. 1 he greatest terms. \$ 3. The... ## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...This formula and the following s _ n(a + 1} contain five different tilings, viz. a, I, n, d, and S; any three of which being given, the other two may be found, by combining the two equations. I shall leave the learner to trace these himself as occasion may require.... ## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...This formula and the following 3 _ n (a + I) 2 contain five different things, viz. a, /, n, d, and S ; any three of which being given, the other two may be found, by combining the two equations. I shall leave the learner to trace these himself as occasion may require.... ## Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 286 pages
...geometrical series. As in arithmetical, so also in geometrical progression, there are five things, any three of which being given, the other two may be found : — 1st. The first term. 2d. The last term. 3d. The number of terms. 4th. The ratio. 5th. The sum... 