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" ... attained by reasoning, its truth or falsehood can be ascertained, in geometry by actual measurement, in algebra by common arithmetical calculation. This gives confidence, and is absolutely necessary, if, as was said before, reason is not to be the... "
Arithmetic, Its Principles and Practice - Page v
by James W. Kavanagh - 1857 - 266 pages
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 pages
...absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. 5. There are no words whose meanings are so much alike...no distinction, except a total distinction, and all adjectives and adverbs expressing difference of degrees are avoided. Thus it may be necessary to say...
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836 - 352 pages
...absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. 5. There are no words whose meanings are so much alike...no distinction, except a total distinction, and all adjectives and adverbs expressing difference of degrees are avoided. Thus it may be necessary to say...
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The Indian student's manual

John Murdoch - 1875 - 366 pages
...absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. " 5. There are no words whose meanings are so much alike...no distinction, except a total distinction, and all adjectives and adverbs expressing difference of degrees are avoided. Thus it may be necessary to say...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...and is absolutely necessary, if, as was said before, reason is not to be instructor, but pupil. 5°. There are no words whose meanings are so much alike...meanings of terms there is no distinction, except absolute distinction, and all adjectives and adverbs expressing difference of degree are avoided. Thus...
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Sonnenschein's Cyclopædia of Education: A Handbook of Reference on All ...

Alfred Ewen Fletcher - Education - 1889 - 592 pages
...confidence, and is absolutely necessary, while the reason is not to be the instructor, but the pupil ; (5) there are no words whose meanings are so much alike...be confounded. Between the meanings of terms there fs no distinction, except a total distinction, and adjectives and adverbs expressing difference of...
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Sonnenschein's Cyclopaedia of Education: A Handbook of Reference on All ...

Alfred Ewen Fletcher - Education - 1892 - 582 pages
...confidence, and is absolutely necessary, while the reason is not to be the instructor, but the pupil ; (5) there are no words whose meanings are so much alike...is no distinction except a total distinction, and adjectives and adverbs expressing difference of degree are almost entirely avoided. Tli us it may be...
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On the Study and Difficulties of Mathematics

Augustus De Morgan - Algebra - 1898 - 306 pages
...absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. 5. There are no words whose meanings are so much alike...no distinction, except a total distinction, and all adjectives and adverbs expressing difference of degrees are avoided. Thus it may be necessary to say,...
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On the Study and Difficulties of Mathematics

Augustus De Morgan - Mathematics - 1898 - 316 pages
...absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. 5. There are no words whose meanings are so much alike...ideas which they stand for may be confounded. Between trie meanings of terms there is no distinction, except a total distinction, and all adjectives and...
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Processes of instruction

Charles De Garmo - Education - 1908 - 224 pages
...can be ascertained, in geometry by actual measurement, in algebra by common arithmetical calculation. alike that the ideas which they stand for may be confounded....no distinction, except a total distinction, and all adjectives and adverbs expressing difference of degrees are avoided." From the foregoing remarks it...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 434 pages
...absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil. 6. There are no words whose meanings are so much alike...which they stand for may be confounded. Between the meaning of terms there is no distinction, except a total distinction, and all adjectives and adverbs...
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