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" And if any three quantities, a, b, c, (2,4, 6,) be in arithmetical proportion, the double of the mean is equal to the sum of the extremes, r . THEOREM 2. "
Cockers Arithmetick, perused by J. Hawkins - Page 87
by Edward Cocker - 1736
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Arithmetick Both in the Theory and Practice: Made Plain and Easie in All the ...

John Hill - Arithmetic - 1716 - 496 pages
...l.xtreams г and 6. . ; i ,. TH JE О Ц. EM Ш. ' If Four Numbers are in Arithmetical Pregrejfim, tbi Sum of the two Means is equal to the Sum of the two Er treams. .,' 807,11,15, 19, are Four Numbers in Arithmetical Progreffion, and the Sum of the...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...PROPORTION. THEOREM 1. IF any four quantities a, b, c, it, (2, 4, 6, 8) be in arithmetical proportion,* the sum of the two means is equal to the sum of the two extremes.f And if any three quantities, a, b, c, (2,4, 6,) be in arithmetical proportion, the double...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - Algebra - 1821 - 426 pages
...Arithmetical Proportion. THEOREM I. Of any four quantities, a, b, c, d, in arithmetical progression,* the sum of the two means is equal to the sum of the two extremes. For since, by supposition, b — a is = d — c, therefore is 6 -fc = d + a, by transposition....
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - Arithmetic - 1822 - 436 pages
...to 16. THEOREM 1. If any four quantities, a, b, c, d, (2, 4, 6, 8,) be in arithmetical proportion, the sum of the two means, is equal to the sum of the' two extremes. And if any three quantities, a, b, c, (2, 4, 6,) be in arithmetical proportion, the double...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1832 - 538 pages
...ARITHMETICAL PROPORTION. THEOREM F. IF any four quantities 2, 4, 6, 8 be in arithmetical proportion,* . lio sum of the two means is equal to the sum of the two extremes.! And if any three quantities, 2, 4, 6, be in arithmetical proportion, the double of the...
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