Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Side ix
... parallels , the Manual of Euclid ; and thirdly , that no sufficient reasons have yet been shown for aban- doning it in favour of any one of the modern Manuals which have been offered as substitutes . It is presented in a dramatic form ...
... parallels , the Manual of Euclid ; and thirdly , that no sufficient reasons have yet been shown for aban- doning it in favour of any one of the modern Manuals which have been offered as substitutes . It is presented in a dramatic form ...
Side xiv
... be essential , would necessitate such abandonment : — . ( 1 ) Separation of Problems and Theorems ; ( 2 ) Different treatment of Parallels . 13 15 Other subjects of enquiry : - ( 3 ) Superposition xiv ARGUMENT OF DRAMA .
... be essential , would necessitate such abandonment : — . ( 1 ) Separation of Problems and Theorems ; ( 2 ) Different treatment of Parallels . 13 15 Other subjects of enquiry : - ( 3 ) Superposition xiv ARGUMENT OF DRAMA .
Side xiv
... be essential , would necessitate such abandonment : - . ( 1 ) Separation of Problems and Theorems ; ( 2 ) Different treatment of Parallels . 13 15 Other subjects of enquiry : - ( 3 ) Superposition xiv ARGUMENT OF DRAMA .
... be essential , would necessitate such abandonment : - . ( 1 ) Separation of Problems and Theorems ; ( 2 ) Different treatment of Parallels . 13 15 Other subjects of enquiry : - ( 3 ) Superposition xiv ARGUMENT OF DRAMA .
Side xviii
... Parallels . Introductory SCENE I. PAGE 46 46 48 49 . 35 SCENE II . Treatment of Parallels by methods involving infinite xviii ARGUMENT OF DRAMA .
... Parallels . Introductory SCENE I. PAGE 46 46 48 49 . 35 SCENE II . Treatment of Parallels by methods involving infinite xviii ARGUMENT OF DRAMA .
Side xix
... Parallels LEGENDRE . Test for meeting of finite Lines One instance of Petitio Principii ' Manual unsuited for beginners . SCENE III . · PAGE 54 56 " " 57 58 36 Treatment of Parallels by angles made with transversals . Style of Preface ...
... Parallels LEGENDRE . Test for meeting of finite Lines One instance of Petitio Principii ' Manual unsuited for beginners . SCENE III . · PAGE 54 56 " " 57 58 36 Treatment of Parallels by angles made with transversals . Style of Preface ...
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adjacent angles angles are equal assert assumed axiomatic beginners bisect CHAUVENET coincide common point contranominal course CUTHBERTSON deduced define definition demonstrated different directions Different Lines discussed doppelgänger drawn Elementary Geometry equal angles equal ext Euclid Euclid's Theorems examination finite Lines given Line given point grant interpolated Intersectional Lines LEGENDRE Lines are equidistant Lines make equal magnitude Manual mathematical meet if produced MINOS Modern Rivals NIEMAND reads old proof omission omitted Pair of Lines parallelogram perpendicular Petitio Principii Plane Geometry Playfair's Axiom Pref Problems and Theorems proof of Euc Prop propositions proved right angles Right Lines sD'-related Lines separational Lines sides straight angle straight Line suppose Syllabus TABLES I-IV Th Th third Line tion transversal Treatment of Parallels triangle true unequal University College School Wilson words writer دو وو