The Science Absolute of Space; Independent of the Truth Or Falsity of Euclid's Axiom Xi (Which Can Never Be Decided a Priori)..
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In our eReader you can find the full English version of the book. Read The Science Absolute of Space; Independent of the Truth Or Falsity of Euclid's Axiom Xi (Which Can Never Be Decided a Priori).. Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Science Absolute of Space; Independent of the Truth Or Falsity of Euclid's Axiom Xi (Which Can Never Be Decided a Priori)..
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To quickly assess the difficulty of the text, read a short excerpt:
27 II. From § 27 follows (if M H rN) cos a: sin /9=1 : sin u/ but from § 29 1 :sin u=}4{A+A-^); therefore cos a sin /?= >^ (A+A"') = ^ I gf 4-^ (equation for «, /S and a).
III. If aa' ±j3ar, and /9/3' and rr'llaa' (§ 27), and ^'a'/ J_aa' • manifestly (as in § 27) ^r sin«/ E^ = >^(B+B-; and^^j^(C+C-'); consequently y2{C+C-')=y2{A+A-').}i(B+B-'), or .
'(equation for aj b and c).
If ;'a5=rt. .^,- and /3 5_|_a3; ©c : 0(Z=1 : sin «, and ©c : ©((^=/?5i=l : cos «, and so (denoting by QsC^, for any ;^,... the product ©;c.©;»;) manifestly ©»^+©i/^=©C^.
But (by § 27 and II) ©(5?=©5.J^(A+A~'), consequently f A ^1 2 /fa -a ] 2 r „ -b 1 2 , fa -a ) « another equation for a, b and c (the second 28 Science Absolute op Space.
member of which may be easily reduced to a form symmetric or invariably. [ib] Finally, from 5?i^=i(A+A-0, and ^2i^=^(B+B-'), we get sm /9 sin a (by HI) cot a cot ^=\ [gT+g-fj (equation for a, /9, and c.
§ 32. It still remains to show briefly the mode of resolving problems in S, which being accomplished (through the more obvious exam- ples), finally will be candidly said what this theory shows.
What to read after The Science Absolute of Space; Independent of the Truth Or Falsity of Euclid's Axiom Xi (Which Can Never Be Decided a Priori)..?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
27 II. From § 27 follows (if M H rN) cos a: sin /9=1 : sin u/ but from § 29 1 :sin u=}4{A+A-^); therefore cos a sin /?= >^ (A+A"') = ^ I gf 4-^ (equation for «, /S and a).
III. If aa' ±j3ar, and /9/3' and rr'llaa' (§ 27), and ^'a'/ J_aa' • manifestly (as in § 27) ^r sin«/ E^ = >^(B+B-; and^^j^(C+C-'); consequently y2{C+C-')=y2{A+A-').}i(B+B-'), or .
'(equation for aj b and c).
If ;'a5=rt. .^,- and /3 5_|_a3; ©c : 0(Z=1 : sin «, and ©c : ©((^=/?5i=l : cos «, and so (denoting by QsC^, for any ;^,... the product ©;c.©;»;) manifestly ©»^+©i/^=©C^.
But (by § 27 and II) ©(5?=©5.J^(A+A~'), consequently f A ^1 2 /fa -a ] 2 r „ -b 1 2 , fa -a ) « another equation for a, b and c (the second 28 Science Absolute op Space.
member of which may be easily reduced to a form symmetric or invariably. [ib] Finally, from 5?i^=i(A+A-0, and ^2i^=^(B+B-'), we get sm /9 sin a (by HI) cot a cot ^=\ [gT+g-fj (equation for a, /9, and c.
§ 32. It still remains to show briefly the mode of resolving problems in S, which being accomplished (through the more obvious exam- ples), finally will be candidly said what this theory shows.
What to read after The Science Absolute of Space; Independent of the Truth Or Falsity of Euclid's Axiom Xi (Which Can Never Be Decided a Priori)..?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
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