Page:Carroll - Euclid and His Modern Rivals.djvu/54

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16
MINOS AND EUCLID.
[Act I.

These two are general questions, and will not need the examination of particular authors.

Besides this, it will be well, in order that your enquiry into the claims of my Modern Rivals may be as complete as possible, to review them one by one, with reference to their treatment of matters not already discussed, especially:—

(5) Right Lines.
(6) Angles, including right angles.
(7) Propositions of mine omitted.
(8) Propositions of mine treated by a new method.
(9) New Propositions.
(10) And you may as well conclude, in each case, with a general survey of the book, as to style, &c.

The following may be taken as a fairly complete catalogue of the books to be examined:—

1.
2.
3.
4.
5.
6.
7.
Legendre.
Cooley.
Cuthbertson.
Henrici.
Wilson
Pierce.
Willock.
8.
9.
10.
11.
12.
13.
Chauvenet.
Loomis.
Morell.
Reynolds.
Wright.
Wilson's 'Syllabus'-Manual.

You should also examine the Syllabus, published by the Association for the Improvement of Geometrical Teaching, on which the last-named Manual is based. Not that it can be considered as a 'Rival'— in fact, it is not a text-book at all, but a mere list of enunciations—but because, first, it comes with an array of imposing names