No. 708) speaks of surfaces as being "ut est color in corpore." every student who has any mechanical associations connected with those symbols; that is, to every student who has previously used them in ordinary algebra. Geometrical reasons, and arithmetical... Trigonometry and Double Algebra - Page 92by Augustus De Morgan - 1849 - 167 pagesFull view - About this book
| Robert Potts - 1865 - 504 pages
...These distinctions are absolutely necessary to those who would have an accurate idea of the subject." **destroy the peculiar character of the latter to every...instruction, is injurious to the proper acquisition of both."** The following opinion of Sir Isaac Newton will be regarded as not without weight on this point : "... | |
| Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...attention to. Report of the Committee of Ten on Secondary School Subjects, (New York, 1894), P- 109. 525. **Geometrical reasoning, and arithmetical process, have...instruction, is injurious to the proper acquisition of both.** DE MORGAN, A. Trigonometry and Double Algebra (London, 1849), p. 92. 526. Equations are Expressions... | |
| Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...attention to. Report of the Committee of Ten on Secondary School Subjects, (New York, 1894), p. 109. 525. **Geometrical reasoning, and arithmetical process, have...instruction, is injurious to the proper acquisition of both.** DE MORGAN, A. Trigonometry and Double Algebra (London, 1849), p. 92. 526. Equations are Expressions... | |
| John J. Roche - Mathematics - 1998 - 330 pages
...who has any mechanical associations with the latter: geometrical reasoning and arithmetical processes **have each its own office: to mix the two in elementary...instruction is injurious to the proper acquisition of both'.** This, again, seems to be an objection to the arithmetical and not to the constructional interpretation... | |
| Florian Cajori - Mathematics - 2007 - 472 pages
...symbols; that is, to every student who has previously used them in ordinary algebra. Geometrical reasons, **and arithmetical process, have each its own office;...instruction, is injurious to the proper acquisition of** both."1 The same idea is embodied in Todhunter's edition of Euclid which does not contain even a plus... | |
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