The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα
... consequently needlessly difficult for beginners , some of the most serious difficulties unfortunately being encountered in the earliest propositions . It has been supposed that by extending the field embraced in the postulates ...
... consequently needlessly difficult for beginners , some of the most serious difficulties unfortunately being encountered in the earliest propositions . It has been supposed that by extending the field embraced in the postulates ...
Σελίδα 36
... Consequently , the supposition which led to this im- possibility must be absurd . That is , it is absurd to suppose that , on the same base , and on the same side of it , there can be two △ s , having the sides terminat- ing in one ...
... Consequently , the supposition which led to this im- possibility must be absurd . That is , it is absurd to suppose that , on the same base , and on the same side of it , there can be two △ s , having the sides terminat- ing in one ...
Σελίδα 37
... Consequently , the supposition which leads to this impossibility must itself be impossible . That is , it is impossible , when the side D E has been placed so as to coincide with the side A B , that the side D F should lie in any other ...
... Consequently , the supposition which leads to this impossibility must itself be impossible . That is , it is impossible , when the side D E has been placed so as to coincide with the side A B , that the side D F should lie in any other ...
Σελίδα 44
... Consequently the s of the two As are equal . ( Prop . VIII . ) Among these , the s F C D and F C E are equal . Therefore F C stands upon the line A B in such a manner as to make the adjacent s equal . In other ( See Def . XI . ) words ...
... Consequently the s of the two As are equal . ( Prop . VIII . ) Among these , the s F C D and F C E are equal . Therefore F C stands upon the line A B in such a manner as to make the adjacent s equal . In other ( See Def . XI . ) words ...
Σελίδα 46
... other , each to each , and the △ between the said pair of sides in the first △ equal to the △ between the said pair of sides in the second △ . Consequently , as was proved in the fourth prɔpo- sition 46 THE FIRST BOOK OF EUCLID.
... other , each to each , and the △ between the said pair of sides in the first △ equal to the △ between the said pair of sides in the second △ . Consequently , as was proved in the fourth prɔpo- sition 46 THE FIRST BOOK OF EUCLID.
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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