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" The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Σελίδα 147
των Sir John Leslie - 1809 - 493 σελίδες
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - 1818 - 190 σελίδες
...the fourth'. Proportionals are written thus, 6 : 2 : ; 9 : 3 ; and read thus, 6 is to 2 as 9 to 8. The first and last terms of a proportion are called the Extremes, and the middle terms, the Means : and when four numbers are proportional, " the product of the extremes is...

Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 488 σελίδες
...said to be proportional, when a submultiple of the first is contained in the second as often as a like submultiple of the third is contained in the fourth....a reversed order. Thus, if the ratio of A to B be considered as direct, the ratio of B to A is inverse or reciprocal. 16. Quantities form a continued...

Elements of Arithmetic

Etienne Bézout - 1824 - 238 σελίδες
...(arithmetically) 12 is to 14 ; and in a geometrical proportion, 3 is to 15 as (geometrically) 4 is to 20. 173. The first and last terms of a proportion are called the extremes ; the second and third, or two middle te> ins, are called the means. . As theje are tw.o ratios, and...

The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 196 σελίδες
...read, the ratio of 4 to 6 equals the ratio of 10 to 15 ; or more concisely, its to 6 OB 10 to 15. 168. The FIRST and LAST terms of a proportion are called the EXTREMES, and the two middle terms the MEANS. 169. In a proportion there are TWO RATIOS, and conse-. quently two antecedents...

The Teacher's Manual: Being an Exposition of an Efficient and Economical ...

Thomas H. Palmer - 1840 - 328 σελίδες
...proportions, the two ratios in each being equal ; those in No. 1 being 2, those in No. 2, J, (one third.) The first and last terms of a proportion are called the extremes ; the two middle terms, the means. It is evident, from the mere inspection of any proportion, that...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 402 σελίδες
...is the last term called in such a case ? What is the difference between proportion and ratio ? 331. The first and last terms of a proportion are called the extremes ; the other two, the means. Oss. Homologous terms are either the two antecedents, or the two consequents....

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 354 σελίδες
...the last term called in such a case ? What is the difference between proportion and ratio ! 32 1 . The first and last terms of a proportion are called the extremes ; the other two, the means. Oas. Homologous terms are either the two antecedents, or the two consequents....

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 362 σελίδες
...What is the last term called in such acase? What is the difference between proportion and ratio * 321* The first and last terms of a proportion are called the extremes ; the other two, the means. OBS. Homologous terms are either the two antecedents, or the two consequents....

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 426 σελίδες
...the other hand, cannot be greater or kss thun another; for equality does not admit of degrees. 495. The first and last terms of a proportion are called the extremes ; the other two, the means. Ons. Htmwlngims terms are either the two antecedents, or the two consequents....

Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 434 σελίδες
...the other hand, cannot be greater or less than another ; for equality does not admit of degrees. 495* The first and last terms of a proportion are called the extremes ; the other two, the means. OBS. Homologous terms are either the two antecedents, or the two consequent*....




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