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xiv
ARGUMENT OF DRAMA.
PAGE
Scene II.
[Minos and Euclid.]
§ I. A priori reasons for retaining Euclid's Manual.
We require, in a Manual, a selection rather than a complete repertory of Geometrical truths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
6 |
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Discussion limited to subject-matter of Euc. I, II.
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8 |
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One fixed logical sequence essential
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8„ |
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One system of numbering desirable
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10 |
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A priori claims of Euclid's sequence and numeration to be retained
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11 |
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New Theorems might be interpolated without change of numeration
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11„ |
§ 2. Method of procedure in examining Modern Rivals.
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Proposed changes which, even if proved to be essential, would not necessitate the abandonment of Euclid's Manual:—
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13 |
| (1) |
Propositions to be omitted;
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| (2) |
Propositions„ to be replaced by new proofs;
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| (3) |
New Propositions to be added.
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Proposed changes which, if proved to be essential, would necessitate such abandonment:— . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
15 |
| (1) |
Separation of Problems and Theorems;
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| (2) |
Different treatment of Parallels.
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