Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ...Robert Heward, 1833 - 150 σελίδες |
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Σελίδα viii
... things whose connexion with other things is so constantly impressed upon us by experience , that few people ever think of inquiring into the cause ; but for that very reason there is often considerable difficulty in clearly explaining ...
... things whose connexion with other things is so constantly impressed upon us by experience , that few people ever think of inquiring into the cause ; but for that very reason there is often considerable difficulty in clearly explaining ...
Σελίδα x
... thing spoken of under that term by geometers whether they knew it or not , ) is a plane surface ; an alteration which will probably be considered as among the most violent in the book , and for which reference must be made to the text ...
... thing spoken of under that term by geometers whether they knew it or not , ) is a plane surface ; an alteration which will probably be considered as among the most violent in the book , and for which reference must be made to the text ...
Σελίδα xi
... thing , or a class of things , has been rendered obvious to the senses , and either by speech , writing , pictorial representa- tion , or examination in its proper substance , has been made sufficiently the subject of knowledge to be ...
... thing , or a class of things , has been rendered obvious to the senses , and either by speech , writing , pictorial representa- tion , or examination in its proper substance , has been made sufficiently the subject of knowledge to be ...
Σελίδα xii
... of other parts than those it is desired to compare . Which , though avowedly only an act of the imagination , is sufficient for obtaining the results the geometer desires . IX . Things which occupy the same place , are 2 EUCLID'S ELEMENTS .
... of other parts than those it is desired to compare . Which , though avowedly only an act of the imagination , is sufficient for obtaining the results the geometer desires . IX . Things which occupy the same place , are 2 EUCLID'S ELEMENTS .
Σελίδα 1
To which is Added an Appendix ... Thomas Perronet Thompson. IX . Things which occupy the same place , are said to coincide . The only way in which coincidence can actually be brought to pass , is when the things touch one another or are ...
To which is Added an Appendix ... Thomas Perronet Thompson. IX . Things which occupy the same place , are said to coincide . The only way in which coincidence can actually be brought to pass , is when the things touch one another or are ...
Άλλες εκδόσεις - Προβολή όλων
Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles alternate angles angle ABC angle ACB angle BAC angular points aret assigned point Axiom axis base BC bisected called CEGDHF central distances change of place circle coincide throughout Constr demonstrated double equal angles equal straight lines equal to AC equal to EF equilateral triangle Euclid exterior angle extremities four right angles Geometry given straight line greater hard body inclose a space instance INTERC Intercalary Book ist equal join line AC magnitude manner meet opposite angles parallelogram parity of reasoning pass perpendicular prolonged Prop PROPOSITION proved quadrilateral radii radius rectilinear figure remain unmoved remaining angle remains at rest respectively SCHOLIUM self-rejoining line shown side BC side opposite situation sphere whose centre straight line BC tessera THEOREM.-If third side triangle ABC turned unlimited length Wherefore