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 iii
... 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 . Being an attempt to get rid of Axioms and Postulates ; and particularly ...
... 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 . Being an attempt to get rid of Axioms and Postulates ; and particularly ...
Σελίδα vii
... Euclid as is usually read ; not , of course , that the contents are in any degree dependent upon what follows , but to take advantage of the habits of rea- soning that may be thus acquired , before attempting what must be characterized ...
... Euclid as is usually read ; not , of course , that the contents are in any degree dependent upon what follows , but to take advantage of the habits of rea- soning that may be thus acquired , before attempting what must be characterized ...
Σελίδα viii
... Euclid would be true , if the First existed only in the shape of the heads of the Propo- sitions under the title of Axioms ; but this would make a most lame and imperfect specimen of reasoning . The ways in which the Axioms and their ...
... Euclid would be true , if the First existed only in the shape of the heads of the Propo- sitions under the title of Axioms ; but this would make a most lame and imperfect specimen of reasoning . The ways in which the Axioms and their ...
Σελίδα ix
... Euclid's Book of Data , to no more than the proposition that the greatest is greatest . ' 6 In the present Edition , the part relating to the disputed principle of Parallel Lines has been reduced in bulk to one half , and in substance ...
... Euclid's Book of Data , to no more than the proposition that the greatest is greatest . ' 6 In the present Edition , the part relating to the disputed principle of Parallel Lines has been reduced in bulk to one half , and in substance ...
Σελίδα x
... Euclid , or other reason for insertion , is pointed out in the Notes . In all this the object has been to do something towards giving Geometry a right to the denomination of an exact science ; a title , to which , after allowing for its ...
... Euclid , or other reason for insertion , is pointed out in the Notes . In all this the object has been to do something towards giving Geometry a right to the denomination of an exact science ; a title , to which , after allowing for its ...
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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