Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Side x
... teaching . I never could quite see the reason- ableness of this immemorial law : subjects there are , no doubt , which are in their essence too serious to admit of any lightness of treatment - but I cannot recognise Geo- metry as one of ...
... teaching . I never could quite see the reason- ableness of this immemorial law : subjects there are , no doubt , which are in their essence too serious to admit of any lightness of treatment - but I cannot recognise Geo- metry as one of ...
Side ix
... teaching or examining in elementary Geometry , to employ one text- book only ; secondly , that there are strong a priori reasons for retaining , in all its main features , and specially in its sequence and numbering of propositions and ...
... teaching or examining in elementary Geometry , to employ one text- book only ; secondly , that there are strong a priori reasons for retaining , in all its main features , and specially in its sequence and numbering of propositions and ...
Side x
... teaching . I never could quite see the reason- ableness of this immemorial law : subjects there are , no doubt , which are in their essence too serious to admit of any lightness of treatment - but I cannot recognise Geo- metry as one of ...
... teaching . I never could quite see the reason- ableness of this immemorial law : subjects there are , no doubt , which are in their essence too serious to admit of any lightness of treatment - but I cannot recognise Geo- metry as one of ...
Side xi
... teaching for nearly five- and - twenty years , that I feel sufficiently familiar with the matter in hand to venture to speak . Let me take this opportunity of expressing my grati- tude , first to Mr. Todhunter , for allowing me to quote ...
... teaching for nearly five- and - twenty years , that I feel sufficiently familiar with the matter in hand to venture to speak . Let me take this opportunity of expressing my grati- tude , first to Mr. Todhunter , for allowing me to quote ...
Side xv
... Teaching , Wilson's ' Syllabus ' -Manual . § 3. The combination , or separation , of Problems and Theorems . • PAGE 15 . 16 Reasons assigned for separation Reasons for combination : - ( 1 ) Problems are also Theorems ; ( 2 ) Separation ...
... Teaching , Wilson's ' Syllabus ' -Manual . § 3. The combination , or separation , of Problems and Theorems . • PAGE 15 . 16 Reasons assigned for separation Reasons for combination : - ( 1 ) Problems are also Theorems ; ( 2 ) Separation ...
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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