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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 61.
Σελίδα vi
... manner whatsoever about its centre , without change of place . Consequences deducible from this are , that if two spheres touch one another externally , they touch only in a point ; and if they are turned as one body about the two ...
... manner whatsoever about its centre , without change of place . Consequences deducible from this are , that if two spheres touch one another externally , they touch only in a point ; and if they are turned as one body about the two ...
Σελίδα x
... manner of the anatomists , the consequences in the aggregate would be con- siderable . The latest innovation has been the assertion , that an angle ( or the thing spoken of under that term by geometers whether they knew it or not , ) is ...
... manner of the anatomists , the consequences in the aggregate would be con- siderable . The latest innovation has been the assertion , that an angle ( or the thing spoken of under that term by geometers whether they knew it or not , ) is ...
Σελίδα xii
... manner that can be shown to be practicable with the hard body on which they are understood to be represented . Nevertheless the application of one object to another will , when required , be imagined to take place without bar of ...
... manner that can be shown to be practicable with the hard body on which they are understood to be represented . Nevertheless the application of one object to another will , when required , be imagined to take place without bar of ...
Σελίδα 1
... manner two lines or points may actually touch one another and coincide . But besides this , there is an imaginary coincidence frequently appealed to by geometers ; which is , when it can be shown that coincidence would take place , if ...
... manner two lines or points may actually touch one another and coincide . But besides this , there is an imaginary coincidence frequently appealed to by geometers ; which is , when it can be shown that coincidence would take place , if ...
Σελίδα 6
... manner would B and C. But because A and B would each coincide with C ; if the boundaries of both could be applied to those of C at once , A and B would coincide with one another ; wherefore A and + I.Nom . 14. B are equal . And in the ...
... manner would B and C. But because A and B would each coincide with C ; if the boundaries of both could be applied to those of C at once , A and B would coincide with one another ; wherefore A and + I.Nom . 14. B are equal . And in the ...
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