Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Side ix
... less tedious and a little more acceptable to unscientific readers . In one respect this book is an experiment , and may chance to prove a failure : I mean that I have not thought it necessary to maintain throughout the gravity of style ...
... less tedious and a little more acceptable to unscientific readers . In one respect this book is an experiment , and may chance to prove a failure : I mean that I have not thought it necessary to maintain throughout the gravity of style ...
Side xvii
... Lines will 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.
... Lines will 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 xxviii
... less than sum of two right angles ' multiple angles ' in VI . 33 proof for Ax . 10 accepted • . 191 . 191 • 192 • " " 99 193 § 6. Omissions , alterations , and additions , suggested by Modern Rivals . Omission of I. 7 suggested 194 PAGE ...
... less than sum of two right angles ' multiple angles ' in VI . 33 proof for Ax . 10 accepted • . 191 . 191 • 192 • " " 99 193 § 6. Omissions , alterations , and additions , suggested by Modern Rivals . Omission of I. 7 suggested 194 PAGE ...
Side 11
... less inconvenient to call them 13 B and 13 C than to abandon the old numbers . Min . I give up the objection . Euc . You will allow then , I think , that my sequence and system of numbers should not be abandoned without good Sc . II ...
... less inconvenient to call them 13 B and 13 C than to abandon the old numbers . Min . I give up the objection . Euc . You will allow then , I think , that my sequence and system of numbers should not be abandoned without good Sc . II ...
Side 23
... the other ; makes exterior angle of a triangle greater than interior opposite angle ; makes two interior angles of a triangle to- gether less than two right angles . ( 3 ) As to points lying on one of Sc . II . § 4.1 23 PAIRS OF LINES .
... the other ; makes exterior angle of a triangle greater than interior opposite angle ; makes two interior angles of a triangle to- gether less than two right angles . ( 3 ) As to points lying on one of Sc . II . § 4.1 23 PAIRS OF LINES .
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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