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 38.
Σελίδα 14
... meet but do not cut one another . Spheres described about the same centre , are called concentric . COR . 2. A sphere may be described about any centre , and with a central distance equal to the distance of any two points that shall ...
... meet but do not cut one another . Spheres described about the same centre , are called concentric . COR . 2. A sphere may be described about any centre , and with a central distance equal to the distance of any two points that shall ...
Σελίδα 23
... meet . Also it does at no time cut the sphere BF ; for if any point in the sphere A ever fell within the sphere BF ... meets INTERC.3 . the sphere BF but does not cut it , it always touches it . And Nom . because the spheres A and BF ...
... meet . Also it does at no time cut the sphere BF ; for if any point in the sphere A ever fell within the sphere BF ... meets INTERC.3 . the sphere BF but does not cut it , it always touches it . And Nom . because the spheres A and BF ...
Σελίδα 25
... meets the point A , and vice versa , ( the spheres during such process remaining ever in contact ) ; their point of contact will describe a line , every point in which , on the hard body in which the line is situate being 26 INTERCALARY ...
... meets the point A , and vice versa , ( the spheres during such process remaining ever in contact ) ; their point of contact will describe a line , every point in which , on the hard body in which the line is situate being 26 INTERCALARY ...
Σελίδα 29
... meet but not cut one another . And because the coincidence of the surfaces is not in a point , it is in a figure or figures of some kind , either surface or line . Also the figure or figures will be such , that if the two spheres are ...
... meet but not cut one another . And because the coincidence of the surfaces is not in a point , it is in a figure or figures of some kind , either surface or line . Also the figure or figures will be such , that if the two spheres are ...
Σελίδα 41
... meet in no point but C ( inasmuch as the spheres AC and BC meet no where but in that point ) , and if they were less they could not meet at all . Wherefore the sphere described about the centre A with the radius AR , will + INTERC.10 ...
... meet in no point but C ( inasmuch as the spheres AC and BC meet no where but in that point ) , and if they were less they could not meet at all . Wherefore the sphere described about the centre A with the radius AR , will + INTERC.10 ...
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