Page:Carroll - Euclid and His Modern Rivals.djvu/30

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xxvi
ARGUMENT OF DRAMA.

PAGE

General survey:—
....................................................................................................................................................................................................................................................
 189
 
A 'Theorem' is a 'statement of a Theorem'
....................................................................................................................................................................................................................................................
 189„
 
Rule of Conversion
....................................................................................................................................................................................................................................................
 190
 
Miscellaneous inaccuracies
....................................................................................................................................................................................................................................................
 191
Summing-up
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 194

§2. Wilson's 'Syllabus'-Manual.

Introductory
....................................................................................................................................................................................................................................................
 195
A Theorem is a 'statement of a Theorem'
....................................................................................................................................................................................................................................................
 196
Rule of Conversion
....................................................................................................................................................................................................................................................
 196„
Every Theorem a 'means of measuring'
....................................................................................................................................................................................................................................................
 196„
'Straight angles'
....................................................................................................................................................................................................................................................
 196„
Miscellaneous inaccuracies
....................................................................................................................................................................................................................................................
 196„
The Manual's one great merit
....................................................................................................................................................................................................................................................
 197
No test for meeting of finite Lines
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 198
Propositions discussed in detail:—
 
An important omission
....................................................................................................................................................................................................................................................
 199
 
An illogical conversion
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 199„
 
'Un enfant terrible'
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 201
Summary of results:—
....................................................................................................................................................................................................................................................
 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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