Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
Inni boken
Resultat 1-5 av 26
Side xxi
... third , are so to each other , ' discussed , and condemned as a ' Petitio Prin- cipii ' Axiom Angle may be transferred , preserving direc- tions of sides ' discussed 6 • If angle be variable , it involves fallacy A dicto secun- dum Quid ...
... third , are so to each other , ' discussed , and condemned as a ' Petitio Prin- cipii ' Axiom Angle may be transferred , preserving direc- tions of sides ' discussed 6 • If angle be variable , it involves fallacy A dicto secun- dum Quid ...
Side 21
... third place we will take a Pair of Lines which have no common point . Now the properties of a Pair of Lines may be ranged under four headings : - ( 1 ) as to common or separate points ; ( 2 ) as to the equality , or otherwise , of ...
... third place we will take a Pair of Lines which have no common point . Now the properties of a Pair of Lines may be ranged under four headings : - ( 1 ) as to common or separate points ; ( 2 ) as to the equality , or otherwise , of ...
Side 26
... third by taking a and ẞ as a single assertion , might we not ? P Euc . Yes . That would give us ý ( aß ) ' . ' Min . Might not some contranominals fail of being true , owing to their subject being non - existent ? For instance , if we ...
... third by taking a and ẞ as a single assertion , might we not ? P Euc . Yes . That would give us ý ( aß ) ' . ' Min . Might not some contranominals fail of being true , owing to their subject being non - existent ? For instance , if we ...
Side 33
... third ( straight ) Line be drawn , having a point common with the first Line , and diverging from it without limit ; this third Line will intersect the second . Min . That is quite satisfactory . I was just going to remark that No. 19 ...
... third ( straight ) Line be drawn , having a point common with the first Line , and diverging from it without limit ; this third Line will intersect the second . Min . That is quite satisfactory . I was just going to remark that No. 19 ...
Side 36
... third Line , are not intersectional . ' 6 Min . Why not say are separational ' ? Then it would exactly represent your I. 30 . Euc . Because they might be coincidental . My proposi- tion is not quite accurately expressed : it ought to ...
... third Line , are not intersectional . ' 6 Min . Why not say are separational ' ? Then it would exactly represent your I. 30 . Euc . Because they might be coincidental . My proposi- tion is not quite accurately expressed : it ought to ...
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Vanlige uttrykk og setninger
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