Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Side 7
... Min . I think your Manual is fully long enough already for all possible purposes of teaching . It is not in the region of new matter that you need fear your Modern Rivals : it is in quality , not in quantity EUCLID'S MANUAL . 7.
... Min . I think your Manual is fully long enough already for all possible purposes of teaching . It is not in the region of new matter that you need fear your Modern Rivals : it is in quality , not in quantity EUCLID'S MANUAL . 7.
Side 16
... 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 ...
... 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 ...
Side 19
... already discussed . But perhaps the strongest argument is that it saves you from hypothetical constructions , ' the danger of which has been so clearly pointed out by Mr. Tod- C 2 Sc . II . § 3. ] PROBLEMS AND THEOREMS . 19 a stronger ...
... already discussed . But perhaps the strongest argument is that it saves you from hypothetical constructions , ' the danger of which has been so clearly pointed out by Mr. Tod- C 2 Sc . II . § 3. ] PROBLEMS AND THEOREMS . 19 a stronger ...
Side 55
... already included in the idea corresponding to the subject . Thus , if the idea of ' shortest distance ' cannot be obtained by a mere analysis of the conception repre- sented by straight Line , ' the axiom ought not to be used as a ...
... already included in the idea corresponding to the subject . Thus , if the idea of ' shortest distance ' cannot be obtained by a mere analysis of the conception repre- sented by straight Line , ' the axiom ought not to be used as a ...
Side 56
... already possess . Nie . For beginners we must admit that Euclid's method of treating this point is the best . But you will allow ours to be a legitimate and elegant method for the advanced student ? Min . Most certainly . The whole of ...
... already possess . Nie . For beginners we must admit that Euclid's method of treating this point is the best . But you will allow ours to be a legitimate and elegant method for the advanced student ? Min . Most certainly . The whole of ...
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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