Euclid And His Modern Rivals
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Min. Then I must reject its jproof^ but I will grant you the Theorem itself, if you like, as we know it can be proved from undisputed Axioms. What comes next?
NiEMAND reads.
P. 14. Th. 13. '' If a Transversal meet Uoo Directives, and maJce angles with tJiem, the External greater than the Internal, or the sum of the two Internal angles less than two rigid angles, the two directives must meet^ Min. A proof for Euclid's Axiom ? That is interesting.
NiEMAND reads.
' For, suppose they do not meet. T...hen, they should be sepcodal ' Min. {interrupting) ^Should be sepcodal'? Does that mean that they are sepcodal ?
Nie. Yes, I think so.
Min. That is, you assume that separational Lines have the same direction ?
Nie. We do.
Min. A fearful assumption ! {A long silence) Well ?
Sc. YI. § 3-] GENERAL SURVEY, 153 Nie. I am waiting* to know whether you grant it.
Mln. Unquestionably not! I must mark it against you as an Axiom of the most monstrous character ! Mr.
Wilson himself does not assume this, though he does assume its Contranominal, that Lines having different directions will meet (see p.
What to read after Euclid And His Modern Rivals?
You can find similar books in the "Read Also" column, or choose other free books by Carroll, Lewis, 1832-1898 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Min. Then I must reject its jproof^ but I will grant you the Theorem itself, if you like, as we know it can be proved from undisputed Axioms. What comes next?
NiEMAND reads.
P. 14. Th. 13. '' If a Transversal meet Uoo Directives, and maJce angles with tJiem, the External greater than the Internal, or the sum of the two Internal angles less than two rigid angles, the two directives must meet^ Min. A proof for Euclid's Axiom ? That is interesting.
NiEMAND reads.
' For, suppose they do not meet. T...hen, they should be sepcodal ' Min. {interrupting) ^Should be sepcodal'? Does that mean that they are sepcodal ?
Nie. Yes, I think so.
Min. That is, you assume that separational Lines have the same direction ?
Nie. We do.
Min. A fearful assumption ! {A long silence) Well ?
Sc. YI. § 3-] GENERAL SURVEY, 153 Nie. I am waiting* to know whether you grant it.
Mln. Unquestionably not! I must mark it against you as an Axiom of the most monstrous character ! Mr.
Wilson himself does not assume this, though he does assume its Contranominal, that Lines having different directions will meet (see p.
What to read after Euclid And His Modern Rivals?
You can find similar books in the "Read Also" column, or choose other free books by Carroll, Lewis, 1832-1898 to read onlineMoreLess
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