 | Thomas Sherwin - Algebra - 1841 - 314 pages
...equal to a third, are equal to each other. 8. The whole of a quantity is greater than a part of it 9. The whole of a quantity is equal to the sum of all its parts. SECTION I. EQUATIONS OF THE FIRST DEGREE, HAVING ONLY UNKNOWN TERMS IN ONE MEMBER AND KNOWN QUANTITIES... | |
 | Thomas Sherwin - Algebra - 1841 - 320 pages
...equal to a third, are equal to each other. 8. The whole of a quantity is greater than a part of it 9. The whole of a quantity is equal to the sum of all its pari« SECTION I. EQUATIONS OF THE FIRST DEGREE, HAVING ONLY UNKNOWN TERMS IN ONE MEMBER AND KNOWN... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...equal quantity, its value will not be altered. 9. The whole of a quantity is greater than a part. 10. The whole of a quantity is equal to the sum of all its parts. 1 1 . All right-angles are equal to each other. 12. From one point to another only one straight line... | |
 | Nathan Scholfield - 1845 - 894 pages
...will be equal. 7. If equal quantities are divided by equal quantities, the quotients will be equal. 8. The whole of a. quantity is equal to the sum of all its parts. 9. Things which coincide or fill the same space are identical or mutually equal in all their parts.... | |
 | James Bates Thomson - Arithmetic - 1846 - 362 pages
...This method of proof depends upon the obvious principle, that if the difference between two numbers be added to the less, the sum must be equal to the greater. 20. From 8796 subtract 2675, and prove the operation ? 21. From 6210896 subtract 3456809, and prove... | |
 | James Bates Thomson - Arithmetic - 1846 - 354 pages
...This method of proof depends upon the obvious principle, that if the difference between two numbers be added to the less, the sum must be equal to the greater. 20. From 8796 subtract 2675, and prove the operation. 21. From 6210896 subtract 3456809, and prove... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...multiplicand, and if the product thus obtained is the same as the other product, the work is supposed to be right. OBS. This method of proof depends upon the principle, that the product of any two numbers is the same, whichever is taken for the multiplier. (Art. 83.) 89. Second... | |
 | James Bates Thomson - Arithmetic - 1848 - 432 pages
...it is. (Arts. 69, 71. Obs. 1, 2.) 73. PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right....quantity is equal to the sum of all its parts. (Ax. 11.) 7 4. Second Method.—Subtract the remainder from the greater of the two given numbers ; and if the... | |
 | James Bates Thomson - Arithmetic - 1848 - 434 pages
...multiplicand, and if the product thus obtained is the same as the other product, the work is supposed to be right. OBS. This method of proof depends upon the principle, that the product of any two numbers is the same, whichever is taken for the multiplier. (Art. 83.) 89. Second... | |
 | James Bates Thomson - Arithmetic - 1855 - 436 pages
...is. (Arts. 69, 71. Obs. 1, 2.) 7 3. PROOF. — Add tlte remainder to the smaller number ; and if the sum is equal to the larger number, the work is right....into which the greater is separated, and the whole . a quantity is equal to the sum of ail Us parts. (Ax. 11.) 7 4. Second Method. — Subtract the remainder... | |
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PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right. OBS. This method of proof depends upon the principle, that the difference between two numbers being added to the less, the sum must be... 
