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.


'Invariably syllogistic form'
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214
'Too great length of demonstration'
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214
'Too great brevity of demonstration'
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215
'Constant reference to Axioms'
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215

§ 4. Euclid's style.


Artificiality, unsuggestiveness, and want of simplicity
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217

§ 5. Euclid's treatment of Lines and Angles.


Treatment of Line
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217
Treatment of Angle:—
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'declination from' accepted
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218
 
must be less than sum of two right angles
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218
 
'multiple angles' in VI. 33
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218
 
proof for Ax. 10 accepted
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219

§ 6. Omissions, alterations, and additions, suggested by Modern Rivals.


Omission of I. 7 suggested
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220