The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 17
... required result . In any given case , it would be possible to analyse the construction , however complex , into its ultimate elements , namely the postulates . C With D as centre , and at the distance DE EXPLAINED TO BEGINNERS . 17.
... required result . In any given case , it would be possible to analyse the construction , however complex , into its ultimate elements , namely the postulates . C With D as centre , and at the distance DE EXPLAINED TO BEGINNERS . 17.
Σελίδα 26
... ( namely that the BAC is equal to the BCA ) consists of three main steps . First , it is shown that the BAL is equal to the angle BCF . Secondly , it is shown that theCAL is equal to the ACF . Thirdly , it is inferred that if the equals ...
... ( namely that the BAC is equal to the BCA ) consists of three main steps . First , it is shown that the BAL is equal to the angle BCF . Secondly , it is shown that theCAL is equal to the ACF . Thirdly , it is inferred that if the equals ...
Σελίδα 28
... namely the s B A C and B CA , will be equal to each other ( Ax . 3 ) . But these are the s opposite the equal sides of the isosceles △ A B. C. Therefore the first part of the proposition has been proved . The second part has also been ...
... namely the s B A C and B CA , will be equal to each other ( Ax . 3 ) . But these are the s opposite the equal sides of the isosceles △ A B. C. Therefore the first part of the proposition has been proved . The second part has also been ...
Σελίδα 30
... namely , their equality . The equality of the sides has to be demonstrated . The proof of this proposition is of the indirect kind . Instead of its being shown at once that the two sides are equal , it is shown that they cannot be ...
... namely , their equality . The equality of the sides has to be demonstrated . The proof of this proposition is of the indirect kind . Instead of its being shown at once that the two sides are equal , it is shown that they cannot be ...
Σελίδα 31
... ( namely , D A and A B ) , equal to two sides of the other ( namely , C B and B A ) , each to each , and the included ( D A B ) of the first △ equal to the in- cluded ( CBA ) of the second . Therefore , according to the fourth ...
... ( namely , D A and A B ) , equal to two sides of the other ( namely , C B and B A ) , each to each , and the included ( D A B ) of the first △ equal to the in- cluded ( CBA ) of the second . Therefore , according to the fourth ...
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