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Βιβλία Βιβλία 1 - 10 από 55 για When four quantities are in arithmetical proportion, the sum of the extremes is equal....
" When four quantities are in arithmetical proportion, the sum of the extremes is equal to the sum of the two mean terms. "
A New and Easy Introduction to the Mathematics: Containing. A system of ... - Σελίδα 272
των Ira Wanzer - 1831 - 396 σελίδες
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A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - 1730 - 627 σελίδες
...then we begin with the Addition. Example : 1"Н Í¿ 0 REM I. IF fouï Numbers are :/, thus, *.b:td, the Sum of the Extremes is equal to the Sum of the middle Terms, a-\~d = b-\-e. DEMON. If the Difference were o, the thing would be evident ; and if it...

A Treatise of Algebra: In Three Parts. Containing. The fundamental rules and ...

Colin MacLaurin - 1748 - 356 σελίδες
...7> 4» i> — 2-> — 5» — 8, &c. • § 60. In four Quantities Arithmetically pro~ porlional, " the Sum of the Extremes is equal to the Sum of the meanTerms." Thus, a, a+b, e, e-\-b, are Arithmetical Proportionals, and the Sum of the Extremes (a-\-e+b}...

The New Mathematician's Guide: Containing the Elements of Universal ...

Willem Jacob 's Gravesande - 1749 - 187 σελίδες
...(119), if to both we add b-\- d, we do not deftroy the Equality ; and then a -\- d = cf- b, that is, the Sum of the Extremes is equal to the Sum of the Means. 123. Arithmetic Proportion is faid to be continued •when the fir ft Term differs as much from...

The Elements of Universal Mathematics, Or Algebra: To which is Added, A ...

Willem Jacob 's Gravesande - 1752 - 187 σελίδες
...19), if to both we add b-\- d, we do not deftroy the Equality ; and then a -f- d = c-\-b, that is, the Sum of the Extremes is equal to the Sum of the Means. 123. Arithmetic Proportion is faid to be continued -when the fir ft "Term differs as much from...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...difference being d. The mqst useful part of arithmetical proportion is contained in the following theorems : 1. When four quantities are in Arithmetical Proportion, the sum of the two extremes is equal to the sum of the two means. Thus, in the arithmeticals 4, 6, 7, 9, the sum 4...

A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...terms of a Progression, are called the Extremes ; and the other terms, lying between them, the Means. The most useful part of arithmetical proportions,...following theorems : THEOREM 1. When four quantities arc in arithmetical proportion, the sum of the two extremes is equal to the sum of the two means. Thus,...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 303 σελίδες
...—m a-\-m=b+h So in the proportion, 12 •• 10 :: 11 •• 9,wehave 12+9 = 10+11. Again, if three quantities are in arithmetical proportion, the sum of the extremes is equal to double the mean. If a- 6:: b •• e, then a — b=b— * And transposing — b and — e, «+c=26....

The Young Man's Best Companion and Guide to Useful Knowledge

John Dougall - 1815 - 476 σελίδες
...and the 2nd and 3rd the means. The fondamental property of numbers in arithmetical proportion is that the sum of the extremes is equal to the sum of the means ! tims in 5, 10, 8, 13, the sum of the extremes § and 13, or 18, is equal to the sum of the...

A Course of Mathematics in Two Volumes for the Use of Academies, as ..., Τόμος 1

Charles Hutton - 1816
...terms of a Progression, are called the Extremes ; and the other terms, lying between them, the Means. The most useful part of arithmetical proportions,...quantities are in arithmetical proportion, the sum of the two extremes is equal to the sura of the two means. Thus, of the four 2, 4, 6, 8, here 2 -j8 = 4 +...

Theoretic Arithmetic, in Three Books: Containing the Substance of All that ...

Thomas Taylor - 1816 - 252 σελίδες
...the sum of the extremes is double the mean; as in 1. 2. 3, 1 +3=4=; 2x2. But if there are four terms, the sum of the extremes is equal to the sum of the two means. Thus if the terms are 1 . 2.3.4., 1+4= 2+3. • This also is a very subtile property of...




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