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 sider |
Inni boken
Resultat 1-5 av 15
Side 17
... CEGDHF . And in like manner may be shown that they cannot coincide in any other surface . Second Case ; let it be assumed that they coincide in the self- C SOLAVO BIB 18 INTERCALARY BOOK . rejoining line CEGDHF in Fig . PROP . V. 17.
... CEGDHF . And in like manner may be shown that they cannot coincide in any other surface . Second Case ; let it be assumed that they coincide in the self- C SOLAVO BIB 18 INTERCALARY BOOK . rejoining line CEGDHF in Fig . PROP . V. 17.
Side 19
... self - rejoining line CEGDHF . And in like manner may be shown that they cannot coincide in any other self - rejoining line . Third Case ; let it be assumed that they coincide in the line CD in Fig . 3. below , which is not a self - ...
... self - rejoining line CEGDHF . And in like manner may be shown that they cannot coincide in any other self - rejoining line . Third Case ; let it be assumed that they coincide in the line CD in Fig . 3. below , which is not a self - ...
Side 20
... self - rejoining line , must change its place ; for it cannot have its face turned to all sides in succession and be ... line CD . And in like manner may be shown that they cannot coincide in any other line which is not a self ...
... self - rejoining line , must change its place ; for it cannot have its face turned to all sides in succession and be ... line CD . And in like manner may be shown that they cannot coincide in any other line which is not a self ...
Side 29
... self - rejoining line . Let two equal spheres whose centres are A and B , cut one another . Their surfaces coincide only in one self - rejoining line . СЕ M N HIG KL A. • B D F Because the spheres cut one another , the coincidence of ...
... self - rejoining line . Let two equal spheres whose centres are A and B , cut one another . Their surfaces coincide only in one self - rejoining line . СЕ M N HIG KL A. • B D F Because the spheres cut one another , the coincidence of ...
Side 30
... self - rejoining line or a belt of surface , which on the united body being turned about A and B , revolves on its own ground in fixed space without change of place . Take then any point C in which the surfaces of the two spheres at any ...
... self - rejoining line or a belt of surface , which on the united body being turned about A and B , revolves on its own ground in fixed space without change of place . Take then any point C in which the surfaces of the two spheres at any ...
Andre utgaver - Vis alle
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... Thomas Perronet Thompson Uten tilgangsbegrensning - 1833 |
Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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