Euclid's elements of geometry, Volum 1Рипол Классик, 1731 The first book of euclid with explanatory remarks by Francis Young. |
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Side 12
... produced ever so far both ways , do not meet . The term PARALLEL is derived from two Greek words , pronounced PARRAAL - LEE - LA , which means by the side of each other . Parallel lines will run on side by side for any distance without ...
... produced ever so far both ways , do not meet . The term PARALLEL is derived from two Greek words , pronounced PARRAAL - LEE - LA , which means by the side of each other . Parallel lines will run on side by side for any distance without ...
Side 13
... produced to any length in a straight line ( in the same straight course ) . We wish to extend the length of a certain straight line that we have drawn . We do this , in practice , by placing the edge of our flat ruler against the line ...
... produced to any length in a straight line ( in the same straight course ) . We wish to extend the length of a certain straight line that we have drawn . We do this , in practice , by placing the edge of our flat ruler against the line ...
Side 14
... these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles . To understand this Axiom it is necessary to become acquainted 14 EUCLID .
... these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles . To understand this Axiom it is necessary to become acquainted 14 EUCLID .
Side 18
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Side 21
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Vanlige uttrykk og setninger
ABC is equal angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angles CBA angles equal applied Axiom base BC Book called centre circle coincide common CONCLUSION CONCLUSION.-Therefore Construction CONSTRUCTION.-1 contained Definition Demonstration DEMONSTRATION.-1 derived diameter distance divide draw drawn Enunciation equal sides equal to AC equilateral triangle exterior angle extremity figure formed Geometry given point given rectilineal angle given straight line greater Hypothesis impossible Join length less meaning meet opposite angle opposite sides parallel parallel straight lines parallel to CD parallelogram position Postulate produced pronounced Proof Prop PROPOSITION proved reasoning rectilineal figure remaining angle right angles SEQUENCE SEQUENCE.-The shew shewn side BC sides sides equal square superficies surface Take term thing third angle tion triangle ABC Wherefore whole