The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα
... suppose that his real progress in geometry , as regards its higher and more important uses , is to be measured by the number of propositions thus learnt . The first six propositions in Euclid contain as much real geometrical study as ...
... suppose that his real progress in geometry , as regards its higher and more important uses , is to be measured by the number of propositions thus learnt . The first six propositions in Euclid contain as much real geometrical study as ...
Σελίδα 4
... suppose that if one line be per- pendicular to another , the latter must be horizontal . This is not at all necessary : the lines may be in any conceivable position , so long as their inclination to each other is such as is stated in ...
... suppose that if one line be per- pendicular to another , the latter must be horizontal . This is not at all necessary : the lines may be in any conceivable position , so long as their inclination to each other is such as is stated in ...
Σελίδα 11
... Suppose that we have two right lines , AB and CD , of equal length , and that it is requisite for any pur- pose that the one should be supposed to lie upon the other . We may say , " Place the point A upon the point C , and let the line ...
... Suppose that we have two right lines , AB and CD , of equal length , and that it is requisite for any pur- pose that the one should be supposed to lie upon the other . We may say , " Place the point A upon the point C , and let the line ...
Σελίδα 14
... Suppose the figure MABC to be applied to the figure HDEF , so that the point B may coincide with the point E , and the line M C lie along the line H F. Let the figures lie on the same side of the common line : Then the line BA must lie ...
... Suppose the figure MABC to be applied to the figure HDEF , so that the point B may coincide with the point E , and the line M C lie along the line H F. Let the figures lie on the same side of the common line : Then the line BA must lie ...
Σελίδα 17
... suppose that these details have been gone through , and that we have got the required result . In any given case , it would be possible to analyse the construction , however complex , into its ultimate elements , namely the postulates ...
... suppose that these details have been gone through , and that we have got the required result . In any given case , it would be possible to analyse the construction , however complex , into its ultimate elements , namely the postulates ...
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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