< Page:Carroll - Euclid and His Modern Rivals.djvu
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ARGUMENT OF DRAMA.
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General survey:—
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189 |
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A 'Theorem' is a 'statement of a Theorem'
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„ |
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Rule of Conversion
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190 |
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Miscellaneous inaccuracies
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191 |
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Summing-up
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§2. Wilson's 'Syllabus'-Manual.
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Introductory
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195 |
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A Theorem is a 'statement of a Theorem'
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196 |
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Rule of Conversion
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„ |
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Every Theorem a 'means of measuring'
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„ |
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'Straight angles'
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„ |
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Miscellaneous inaccuracies
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„ |
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The Manual's one great merit
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197 |
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No test for meeting of finite Lines
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198 |
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Propositions discussed in detail:—
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An important omission
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199 |
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An illogical conversion
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'Un enfant terrible'
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Summary of results:—
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206 |
- Of 73 Propositions of Euclid, this Manual has
- 14 omitted;
- 43 done as in Euclid;
- 10 done by new but objectionable methods, viz.—
- 1 illogical;
- 1 'hypothetical construction';
- 2 needlessly using 'superposition';
- 2 algebraical;
- 4 omitting the diagonals of Euc. II.;
- 6 done by new and admissible methods.
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