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" This is no denial of the mathematical proposition that the whole is equal to the sum of all its parts... "
A treatise on arithmetic. [With] Key - Σελίδα 14
των James Thomson - 1880
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The Panoplist (and Missionary magazine) conducted by an association of ...

1814 - 596 σελίδες
...because wisdom and strength are brought together in them." p. 12. It is an axiom in natural philosophy, that the whole is equal to the sum of all its parts. Let it ever be remembered as an axiom in moral philosophy, not less certain than the other, that the...

Pike's System of Arithmetic Abridged: To which are Added Appropriate ...

Nicolas Pike, Dudley Leavitt - 1826 - 222 σελίδες
...equal to the sum total, the work is supposed to be right. * This rule is founded on the known axiom, that "the whole is equal to the sum of all its parts." The method cf placing the numbers, and carrying for tens, is evident from the nature of notation ;...

Scientific Tracts, Τόμος 2

1832 - 602 σελίδες
...between the whole and its parts — he perceives that the whole is greater than any of its parts, and that the whole is equal to the sum of all its parts. In a similar way his mind receives all its simple ideas of things, and the relations of things, thus...

A Practical and Theoretical System of Arithmetic...: Also, a Treatise on ...

George Willson - 1836 - 202 σελίδες
...on, into whatever number of parts a thing or number may be conceived to be divided. It is an axiom, that " the whole is equal to the sum of all its parts ;" and every one will perceive, that 2 halves, 3 thirds, 4 fourths, 5 fifths, 10 tenths, make up the...

The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Τόμος 5

1836 - 562 σελίδες
...entry, historically called the Italian method. That method, grounding itself upon the scientific axiom that ' the whole is equal to the sum of all its parts,' is satisfied with nothing less than a perfect equilibrium between the total amount of all the debtor...

Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - 1837 - 296 σελίδες
...that 12 and 9 added together, are equal to 21 ; or that the sum of 12 and 9 is 21. Reason of the Rule. The rule for performing addition depends on the nature of notation, and on the obvious principle, that tfte whole is equal to the sum nf all its parts. By placing units under units, tens under tens, &c....

A Practical and Theoretical System of Arithmetic: Containing a New System of ...

George Willson - 1838 - 194 σελίδες
...on, into whatever number of parts a thing or number may be conceived to be divided. It is an axiom, that " the whole is equal to the sum of all its parts ;" and every one will perceive, that 2 halves, 3 thirds, 4 fourths, 5 fifths, 10 tenths, make up the...

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1841 - 324 σελίδες
...they will probably be right. 53. The rule as. well as the proof is based1 on the well krown axiom,4 that the whole is equal to the sum of all its parts. Q. What is Addition? 46. Simple Addition? 47. Rule? 48, 49, 50. What are the two methods of proof?...

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1842 - 320 σελίδες
...they will probably be right. 53. The rule as well as the proof is based3 on the well known axiom,* that the whole is equal to the sum of all its parts. Q. What is Addition? 46. Simple Addition? 47. Rule? 48, 49, 50. What are the two methods of proof?...

A cyclopædia of commerce, mercantile law, finance, and commercial geography ...

Encyclopaedias, William Waterston - 1843 - 724 σελίδες
...must, if correctly posted, be constantly in a state of equilibrium : It follows likewise from the axiom that " the whole is equal to the sum of all its parts," that the balance of the stock account must equal the aggregate balance of all the other accounts. Hence...




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