The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα
... axioms , the truth of which no one will dispute , many , if not all of these difficulties may be avoided . It may be conceded that Euclid's method is difficult ; but those who object to this should remember that the object of the study ...
... axioms , the truth of which no one will dispute , many , if not all of these difficulties may be avoided . It may be conceded that Euclid's method is difficult ; but those who object to this should remember that the object of the study ...
Σελίδα
... axioms , postulates , and propositions which are assumed in the course of the construction or demon- stration are stated at length . Many may think this superfluous ; but it will usually be found that when vi PREFACE .
... axioms , postulates , and propositions which are assumed in the course of the construction or demon- stration are stated at length . Many may think this superfluous ; but it will usually be found that when vi PREFACE .
Σελίδα 7
... AXIOMS . The reasonings of geometry are based upon certain primary truths with 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 ...
... AXIOMS . The reasonings of geometry are based upon certain primary truths with 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 ...
Σελίδα 8
... axiom . † The first part of this axiom is only the definition of halves in another form . The second part is properly an inference from Axiom 6. For if the halves of two mag- nitudes were unequal , the doubles of those halves , that is ...
... axiom . † The first part of this axiom is only the definition of halves in another form . The second part is properly an inference from Axiom 6. For if the halves of two mag- nitudes were unequal , the doubles of those halves , that is ...
Σελίδα 13
... axioms that figures having certain spe- cified properties have also certain other properties . ( Some remarks , in further explanation , will be most conveniently appended to the second and fifth pro- positions . ) Let it be observed ...
... axioms that figures having certain spe- cified properties have also certain other properties . ( Some remarks , in further explanation , will be most conveniently appended to the second and fifth pro- positions . ) Let it be observed ...
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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