The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 13
... - stand the real object of those demonstrations . This All right angles are equal . may be proved as follows : Let ABC and DEF be any two rights . Pro- duce the line CB to any point M , and EXPLAINED TO BEGINNERS . 13.
... - stand the real object of those demonstrations . This All right angles are equal . may be proved as follows : Let ABC and DEF be any two rights . Pro- duce the line CB to any point M , and EXPLAINED TO BEGINNERS . 13.
Σελίδα 16
... follows : - The lines A B and AC are radii of the same circle EC B , and therefore are equal to one another ( Definition F ) ; and the lines B C and BA are radii of the same circle A CF , and therefore are equal to one another . But ...
... follows : - The lines A B and AC are radii of the same circle EC B , and therefore are equal to one another ( Definition F ) ; and the lines B C and BA are radii of the same circle A CF , and therefore are equal to one another . But ...
Σελίδα 24
... follows that the straight 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 △ DEF in ...
... follows that the straight 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 △ DEF in ...
Σελίδα 29
... follow that C must have committed it . Of the propositions , A is equal to B , A is less than B , A is greater than ... follows that A is greater than B .. In order to prove that a proposition or assertion is false , we may either prove ...
... follow that C must have committed it . Of the propositions , A is equal to B , A is less than B , A is greater than ... follows that A is greater than B .. In order to prove that a proposition or assertion is false , we may either prove ...
Σελίδα 32
... follows from this that all the sides of an equi - angular △ are equal . PROPOSITION VIL . Upon the same base , and on the same side of it , there cannot be two triangles having their sides which are terminated in the one extremity of ...
... follows from this that all the sides of an equi - angular △ are equal . PROPOSITION VIL . Upon the same base , and on the same side of it , there cannot be two triangles having their sides which are terminated in the one extremity of ...
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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
2nd Edit 3rd Edition A B and CD A C and C B axiom beginner bisected C. S. Calverley Consequently D F is equal diagonal draw a straight equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle F. A. Paley Fcap figure finite right line formed George Bell given finite right given line given point given straight line gnomon greater interior and opposite isosceles J. W. Donaldson Join the points join two given Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F Post 8vo proof Prop proposition prove this proposition rectangle contained right angles side A C square suppose three sides triangle unequal