The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 7
... remainders will be equal . IV . If equals be added to unequals , the sum of the one of the equals and the greater of ... remainder left , when one of the equals has been taken from the greater of the unequals , will be greater than the ...
... remainders will be equal . IV . If equals be added to unequals , the sum of the one of the equals and the greater of ... remainder left , when one of the equals has been taken from the greater of the unequals , will be greater than the ...
Σελίδα 18
... remainders , CE and AF , will be equal . ( Axiom III . ) The lines , CB and CE , are equal , being radii of the same circle . So that the lines CB and A F are both equal to the line CE . Therefore C B and A F are equal to each other ...
... remainders , CE and AF , will be equal . ( Axiom III . ) The lines , CB and CE , are equal , being radii of the same circle . So that the lines CB and A F are both equal to the line CE . Therefore C B and A F are equal to each other ...
Σελίδα 26
... ACF . Thirdly , it is inferred that if the equals CAL and ACF be taken from the equal 8 BAL and BCF , the remainders , namely the s BAC and BCA , will be equal . 1. To prove that the BAL is equal to the 26 THE FIRST BOOK OF EUCLID.
... ACF . Thirdly , it is inferred that if the equals CAL and ACF be taken from the equal 8 BAL and BCF , the remainders , namely the s BAC and BCA , will be equal . 1. To prove that the BAL is equal to the 26 THE FIRST BOOK OF EUCLID.
Σελίδα 27
... CAL and AC F are equal in every respect . F B Because BF is equal to B L , and BA is equal to * We have thus reached the first main step of the proof . B C , the remainders AF and CL are equal EXPLAINED TO BEGINNERS . 27.
... CAL and AC F are equal in every respect . F B Because BF is equal to B L , and BA is equal to * We have thus reached the first main step of the proof . B C , the remainders AF and CL are equal EXPLAINED TO BEGINNERS . 27.
Σελίδα 28
Euclid, Charles Peter Mason. B C , the remainders AF and CL are equal ( Ax . 3 ) . Moreover , the line AL was proved equal to the line CF , and the CLA ( which is the same as BLA ) to the AFC ( which is the same as B F C ) , when the As ...
Euclid, Charles Peter Mason. B C , the remainders AF and CL are equal ( Ax . 3 ) . Moreover , the line AL was proved equal to the line CF , and the CLA ( which is the same as BLA ) to the AFC ( which is the same as B F C ) , when the As ...
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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