Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Side xx
... . § 1. WILSON , Introductory • 999 66 · 67 · 68 • 69 Treatment of Line وو Angle Extension of limit of angle ' to sum of four right angles . 70 71 72 2220 39 C Straight ' angles Meaning of direction ' 6 ' XX ARGUMENT OF DRAMA .
... . § 1. WILSON , Introductory • 999 66 · 67 · 68 • 69 Treatment of Line وو Angle Extension of limit of angle ' to sum of four right angles . 70 71 72 2220 39 C Straight ' angles Meaning of direction ' 6 ' XX ARGUMENT OF DRAMA .
Side xxviii
... Angles . Treatment of Line " " · Angle : - ' declination from ' accepted must be 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 ...
... Angles . Treatment of Line " " · Angle : - ' declination from ' accepted must be 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 ...
Side 3
... angles . ' Did you ever hear anything like that for calm assump- tion ? Min . What does the miscreant mean by ... Right lines are said to be parallel when they are equally and similarly inclined to the same right line , or make equal ...
... angles . ' Did you ever hear anything like that for calm assump- tion ? Min . What does the miscreant mean by ... Right lines are said to be parallel when they are equally and similarly inclined to the same right line , or make equal ...
Side 4
... right angles . = 6 Therefore the int . Zs = Q. E. D. ' I'm not well up in Wilson ' : but surely he doesn't beg the whole question of parallels in one axiom like this ! Min . Well , no . There's a theorem and a corollary . But this is a ...
... right angles . = 6 Therefore the int . Zs = Q. E. D. ' I'm not well up in Wilson ' : but surely he doesn't beg the whole question of parallels in one axiom like this ! Min . Well , no . There's a theorem and a corollary . But this is a ...
Side 16
... 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 conclude , in each case , with a general survey of the book ...
... 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 conclude , in each case , with a general survey of the book ...
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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