Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Side xvii
... meet ; · ( 2 ) Playfair's is less comprehensible ; ( 3 ) and asserts more than Euclid's , the additional matter being superfluous b 42 43 44 • 45 19 Objection to Euclid's Axiom ( that it is the converse ARGUMENT OF DRAMA . xvii.
... meet ; · ( 2 ) Playfair's is less comprehensible ; ( 3 ) and asserts more than Euclid's , the additional matter being superfluous b 42 43 44 • 45 19 Objection to Euclid's Axiom ( that it is the converse ARGUMENT OF DRAMA . xvii.
Side xxiv
... ' reciprocal , ' and ' contrary ' Theorems . 140 Sentient points A false assertion A speaking radius · 141 • 143 144 Ratios and common measures Derivation of ' homologous Mensuration of areas A logical fiasco xxiv ARGUMENT OF DRAMA .
... ' reciprocal , ' and ' contrary ' Theorems . 140 Sentient points A false assertion A speaking radius · 141 • 143 144 Ratios and common measures Derivation of ' homologous Mensuration of areas A logical fiasco xxiv ARGUMENT OF DRAMA .
Side 8
... assert , are antiquated , and worthless as compared with the new lights . Euc . It is to that very point that I now propose to address myself : and , as we are to discuss this matter mainly with reference to the wants of beginners , we ...
... assert , are antiquated , and worthless as compared with the new lights . Euc . It is to that very point that I now propose to address myself : and , as we are to discuss this matter mainly with reference to the wants of beginners , we ...
Side 18
... assertion of the principle that , while Problems are from their very nature dependent for the form , and even the possibility , of their solution on the arbitrary limitation of the instruments allowed to be used , Theorems , being ...
... assertion of the principle that , while Problems are from their very nature dependent for the form , and even the possibility , of their solution on the arbitrary limitation of the instruments allowed to be used , Theorems , being ...
Side 19
... assert real existence : it is merely provisional . Now , if you omit I. 46 , what right have you , in I. 47 , to say draw a square ' ? How do you know it to be possible ? Min . We could easily deduce that from I. 34 . 6 Euc . No doubt a ...
... assert real existence : it is merely provisional . Now , if you omit I. 46 , what right have you , in I. 47 , to say draw a square ' ? How do you know it to be possible ? Min . We could easily deduce that from I. 34 . 6 Euc . No doubt a ...
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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