Euclid and His Modern RivalsMacmillan and Company, 1879 - 299 sider |
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Resultat 1-5 av 27
Side 19
... figure were drawn under such and such conditions , it would be a square . ' Is it not quite as simple to draw it ? Then again take I. 31 , where it is required to draw a parallel . Although it has been proved in I. 27 that such things ...
... figure were drawn under such and such conditions , it would be a square . ' Is it not quite as simple to draw it ? Then again take I. 31 , where it is required to draw a parallel . Although it has been proved in I. 27 that such things ...
Side 29
... figure be supposed to coincide , and to become the Line KL in the second : then the two interior angles BGH , GHD , become the angles LMF , EML . Min . Quite so . Euc . Let us go on to the second class of Pairs of Lines . If we are told ...
... figure be supposed to coincide , and to become the Line KL in the second : then the two interior angles BGH , GHD , become the angles LMF , EML . Min . Quite so . Euc . Let us go on to the second class of Pairs of Lines . If we are told ...
Side 50
... figures make up AE , the square of AB . Therefore the square of AB & c . That is just 136 words , counting from down to the words ' since CG = CB . we turn to for a rival proof ? Min . I think Wilson will be best . Q. E. D. ' ' On AB ...
... figures make up AE , the square of AB . Therefore the square of AB & c . That is just 136 words , counting from down to the words ' since CG = CB . we turn to for a rival proof ? Min . I think Wilson will be best . Q. E. D. ' ' On AB ...
Side 90
... figure have the same direction ; and C and D , which meet , have different directions ; and E and F , which have different directions , would meet if pro- duced far enough . ' Min . I grant the assertion about C and D ; but I am wholly ...
... figure have the same direction ; and C and D , which meet , have different directions ; and E and F , which have different directions , would meet if pro- duced far enough . ' Min . I grant the assertion about C and D ; but I am wholly ...
Side 103
... figure whose oppo- site sides will never meet . but rather that of a figure whose opposite sides are equidistant . ' But do you feel equally certain that you are not unconsciously using your subsequent knowledge that Lines exist which ...
... figure whose oppo- site sides will never meet . but rather that of a figure whose opposite sides are equidistant . ' But do you feel equally certain that you are not unconsciously using your subsequent knowledge that Lines exist which ...
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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