The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 35
... formed by producing the equal sides A D and A C , would be equal to one another ; and , in the △ C B D , the s BCD and B D C would be equal to one another . But the B D C is less than the E D C ( being a part of it ) therefore the ...
... formed by producing the equal sides A D and A C , would be equal to one another ; and , in the △ C B D , the s BCD and B D C would be equal to one another . But the B D C is less than the E D C ( being a part of it ) therefore the ...
Σελίδα 45
... formed when one line is perpendicular to another must always be of the same size . PROPOSITION XII . To draw a right line perpendicular , or at right angles to a given right line of indefinite length , from a given point without it ...
... formed when one line is perpendicular to another must always be of the same size . PROPOSITION XII . To draw a right line perpendicular , or at right angles to a given right line of indefinite length , from a given point without it ...
Σελίδα 49
... formed , would together be equal to two rights , as was proved in the last proposition . Now we know , to start with , that the s A CD and A CE are together equal to two rights . We should be compelled to admit , therefore , that the 28 ...
... formed , would together be equal to two rights , as was proved in the last proposition . Now we know , to start with , that the s A CD and A CE are together equal to two rights . We should be compelled to admit , therefore , that the 28 ...
Σελίδα 50
... Z DEB . Proof . A E is a straight line meeting the line C D in the point E , and forming adjacent s A E C and A E D. Consequently , these two s are together equal to two 50 THE FIRST BOOK OF EUCLID PROPOSITION XV. ...
... Z DEB . Proof . A E is a straight line meeting the line C D in the point E , and forming adjacent s A E C and A E D. Consequently , these two s are together equal to two 50 THE FIRST BOOK OF EUCLID PROPOSITION XV. ...
Σελίδα 51
... forming adjacent and C E B. s AEC Consequently , the SA EC and C E B are together equal to two rights . ( Prop . XIII . ) But quantities that are equal to the same are equal to each other . Therefore , the sum of the s A E C and A E D ...
... forming adjacent and C E B. s AEC Consequently , the SA EC and C E B are together equal to two rights . ( Prop . XIII . ) But quantities that are equal to the same are equal to each other . Therefore , the sum of the s A E C and A E D ...
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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