The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 23
Euclid, Charles Peter Mason. It has now to be proved that the side A B is equal to the side DE ; that the CAB is equal ... line DF . ( Ax . X. ) Thən , because the lines AC and DF are equal to one another , the point C will coincide with ...
Euclid, Charles Peter Mason. It has now to be proved that the side A B is equal to the side DE ; that the CAB is equal ... line DF . ( Ax . X. ) Thən , because the lines AC and DF are equal to one another , the point C will coincide with ...
Σελίδα 24
... line A B lies along the straight line DE ; otherwise these two straight lines would enclose a space , which is impossible . ( Ax . XI . ) Thus it has been shown that the △ ABC may be placed upon the ADEF in such a manner that it will ...
... line A B lies along the straight line DE ; otherwise these two straight lines would enclose a space , which is impossible . ( Ax . XI . ) Thus it has been shown that the △ ABC may be placed upon the ADEF in such a manner that it will ...
Σελίδα 26
... line . ( Post . I. ) 2. To cut off from the longer of two given straight ... A B and B C equal to each other . We have to prove that the Zs B A C and ... line F C , and A and L by the right line A L. ( Post . I. ) The proof of the first ...
... line . ( Post . I. ) 2. To cut off from the longer of two given straight ... A B and B C equal to each other . We have to prove that the Zs B A C and ... line F C , and A and L by the right line A L. ( Post . I. ) The proof of the first ...
Σελίδα 31
... A B common to the two As , and the DAB equal to the CBA ( we were supposed to know this last point to begin with ) ... line A E , We should then have two As CAB and EBA , in which the sides CA and A B of the one would be A C E B equal to ...
... A B common to the two As , and the DAB equal to the CBA ( we were supposed to know this last point to begin with ) ... line A E , We should then have two As CAB and EBA , in which the sides CA and A B of the one would be A C E B equal to ...
Σελίδα 33
... A B This proposition is proved by showing that if we were to suppose it possible that there could be two such As as ... line from one given point to another . ( Post . I. ) 2. To produce a given finite right line to any length . ( Post ...
... A B This proposition is proved by showing that if we were to suppose it possible that there could be two such As as ... line from one given point to another . ( Post . I. ) 2. To produce a given finite right line to any length . ( Post ...
Άλλες εκδόσεις - Προβολή όλων
The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B is equal AC and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed fourth proposition given finite right given line given point given rectilineal given straight line gnomon Grammar greater half a right hypotenuse interior and opposite isosceles Join the points join two given Latin length less line A B line CB linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal