Euclid and His Modern RivalsCourier Corporation, 5. mars 2014 - 320 sider The author of Alice in Wonderland (and an Oxford professor of mathematics) employs the fanciful format of a play set in Hell to take a hard look at late-19th-century interpretations of Euclidean geometry. Carroll's penetrating observations on geometry are accompanied by ample doses of his famous wit. 1885 edition. |
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Side 5
... think your Manual is fully long enough already for all possible purposes of teaching. It is not in the region of new matter that you need fear your Modern Rivals: it is in quality, not in quantity, that they EUCLID'S MANUAL.
... think your Manual is fully long enough already for all possible purposes of teaching. It is not in the region of new matter that you need fear your Modern Rivals: it is in quality, not in quantity, that they EUCLID'S MANUAL.
Side 8
... possible arrangements which would not conflict with the agreed-on logical sequence. And yet this is what the Committee of the Association for the Improvement of Geometrical Teaching have approved of, namely, ' a standard sequence for ...
... possible arrangements which would not conflict with the agreed-on logical sequence. And yet this is what the Committee of the Association for the Improvement of Geometrical Teaching have approved of, namely, ' a standard sequence for ...
Side 12
... possible (for it is almost inconceivable that two methods of treating it should be equally good). An alternative proof of a minor Proposition may fairly be inserted now and then as about equal in merit to the standard proof, and may ...
... possible (for it is almost inconceivable that two methods of treating it should be equally good). An alternative proof of a minor Proposition may fairly be inserted now and then as about equal in merit to the standard proof, and may ...
Side 14
... possible, to review them one by one, with reference to their treatment of matters not already discussed, especially : — (5) Right Lines. (6) Angles, including right angles. (7) Propositions of mine omitted. (8) Propositions of mine ...
... possible, to review them one by one, with reference to their treatment of matters not already discussed, especially : — (5) Right Lines. (6) Angles, including right angles. (7) Propositions of mine omitted. (8) Propositions of mine ...
Side 17
... possible ? Min. We could easily deduce that from I. 34. Euc. No doubt a Theorem might be introduced for that purpose : but it would be very like the Problem : you would have to say ' if a figure were drawn under such and such conditions ...
... possible ? Min. We could easily deduce that from I. 34. Euc. No doubt a Theorem might be introduced for that purpose : but it would be very like the Problem : you would have to say ' if a figure were drawn under such and such conditions ...
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