Page:Carroll - Euclid and His Modern Rivals.djvu/32
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xxviii
ARGUMENT OF DRAMA.
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§ 3. Euclid's demonstrations.
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'Invariably syllogistic form'
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214 |
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'Too great length of demonstration'
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214„ |
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'Too great brevity of demonstration'
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215 |
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'Constant reference to Axioms'
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215„ |
§ 4. Euclid's style.
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Artificiality, unsuggestiveness, and want of simplicity
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217 |
§ 5. Euclid's treatment of Lines and Angles.
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Treatment of Line
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217 |
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Treatment of„ Angle:—
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'declination from' accepted
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218 |
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must be less than sum of two right angles
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218„ |
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'multiple angles' in VI. 33
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218„ |
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proof for Ax. 10 accepted
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219 |
§ 6. Omissions, alterations, and additions, suggested by Modern Rivals.
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Omission of I. 7 suggested
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220 |