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 vi
... touch one another externally , they touch only in a point ; and if they are turned as one body about the two centres which remain at rest , the point of contact remains unmoved . Hence if about two assigned points be described a ...
... touch one another externally , they touch only in a point ; and if they are turned as one body about the two centres which remain at rest , the point of contact remains unmoved . Hence if about two assigned points be described a ...
Σελίδα xi
... touch , is called a body . III . A body whose particles are immoveable among themselves , at least by any force there is question of employing ; is called a hard body . IV . That which has length , breadth , and thickness , is called a ...
... touch , is called a body . III . A body whose particles are immoveable among themselves , at least by any force there is question of employing ; is called a hard body . IV . That which has length , breadth , and thickness , is called a ...
Σελίδα 1
... touch one another or are in contact . Thus there is coincidence between the surface of a cast and the surface of the mould which contains it . And in like manner two lines or points may actually touch one another and coincide . But ...
... touch one another or are in contact . Thus there is coincidence between the surface of a cast and the surface of the mould which contains it . And in like manner two lines or points may actually touch one another and coincide . But ...
Σελίδα 14
... touch one another , which 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 ...
... touch one another , which 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 ...
Σελίδα 16
... touch one another externally , they touch only in a point . Let there be two spheres whose centres are A and B , touching one another externally . The one cannot touch the other in more than a single point at once . For if this be ...
... touch one another externally , they touch only in a point . Let there be two spheres whose centres are A and B , touching one another externally . The one cannot touch the other in more than a single point at once . For if this be ...
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