The Science Absolute of Space Independent of the Truth Or Falsity of Euclids

Cover The Science Absolute of Space Independent of the Truth Or Falsity of Euclids
The Science Absolute of Space Independent of the Truth Or Falsity of Euclids
Jnos Bolyai
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Call the ray AM the axis of L. Evidently also, in any plane containing the sect AM, there is for the axis ray AM a single L. Call any Lot this sort the L of this ray AM (in the plain- considered, being understood). Kyi- dent ly by revolving L around AM we describe the Fof which ray AM is called the axis, and in turn F tna y be ascribed to ///< axis ray AM. I?) 12. It" 1> i> anywhere on the L of ray AM, and UN II* AM (11); then the L of ray AM and the L of ray BN coincit/e. For suppose, in disti
...nction, L the L of rav UN. . Let C be an v where in L . And CP H -BN (1D- &" BNH ^AM, so CPU *AM U ini, and so C also will fall on L. And if I is any where on L, and CPII^AM: thenCPH^BN (10); and C also falls on L (11). Thus L and L are the SCIENCE ABSOLUTE OF SPACE.
13 s o same; and every ray BN is also axis of L, and between all axes of this L, is .
The same is evident in the same way of F. 13. If BN II AM, and CP II DQ, andZBAM + ZABN = st. Z; then also ZDCP+ZCDQ- st. Z.
Q For let EA= EB, and EFM= DCP ( 4).


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