The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 7
... respect to magnitudes and lines , which are self - evident , and do not admit of being demonstrated by the application of truths of a simpler kind . These primary propositions are called axioms . They are the following : - : - I ...
... respect to magnitudes and lines , which are self - evident , and do not admit of being demonstrated by the application of truths of a simpler kind . These primary propositions are called axioms . They are the following : - : - I ...
Σελίδα 10
... respect to each other , that certain parts , or all the parts of each may coincide In doing this there are some mistakes against which beginners must be particularly cautioned . They may seem trifling , but they must not be disregarded ...
... respect to each other , that certain parts , or all the parts of each may coincide In doing this there are some mistakes against which beginners must be particularly cautioned . They may seem trifling , but they must not be disregarded ...
Σελίδα 15
... Respecting the use of the marks and , see the note on p . 9 . CAUTION . Whenever any construction is required in the course of a proposition , the learner should never be allowed to draw the whole figure to begin with , but should be ...
... Respecting the use of the marks and , see the note on p . 9 . CAUTION . Whenever any construction is required in the course of a proposition , the learner should never be allowed to draw the whole figure to begin with , but should be ...
Σελίδα 24
... which the lines lie with respect to each other . We must know the length of the lines as well , in order to be able to say where the ends of them will fall . that the sides CB and BA are equal respectively to 24 THE FIRST BOOK OF EUCLID.
... which the lines lie with respect to each other . We must know the length of the lines as well , in order to be able to say where the ends of them will fall . that the sides CB and BA are equal respectively to 24 THE FIRST BOOK OF EUCLID.
Σελίδα 26
... respect . ( Prop . IV . ) Suppose A B C to be a △ , having the sides A B and B C equal to each other . We have to prove that the Zs B A C and B C A are equal to each other , and likewise that the s FAC and LCA are equal to each other ...
... respect . ( Prop . IV . ) Suppose A B C to be a △ , having the sides A B and B C equal to each other . We have to prove that the Zs B A C and B C A are equal to each other , and likewise that the s FAC and LCA are equal to each other ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
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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