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 34
Side xii
... extremity can have neither . And if the so - called extremity had length , it would not be the extremity , but part of the line . Thus the extremity of a line in the black surface above , is a point ; which manifestly has no dimensions ...
... extremity can have neither . And if the so - called extremity had length , it would not be the extremity , but part of the line . Thus the extremity of a line in the black surface above , is a point ; which manifestly has no dimensions ...
Side 26
... extremities of a straight line , ( inasmuch as the whole of the straight line remains without change of place ) is said to be turned round such straight line . When from any point to any other point , a straight line is described or ...
... extremities of a straight line , ( inasmuch as the whole of the straight line remains without change of place ) is said to be turned round such straight line . When from any point to any other point , a straight line is described or ...
Side 27
... extremities may be made to coincide . For if when one extremity of each are made to coincide , the other extremity of the one cannot be also made to coincide with the other extremity of the other ; then the extremity of one of them may ...
... extremities may be made to coincide . For if when one extremity of each are made to coincide , the other extremity of the one cannot be also made to coincide with the other extremity of the other ; then the extremity of one of them may ...
Side 28
... extremities of the proposed radius . COR . 7. If two spheres touch one another externally , the straight line which joins their centres shall pass through the point of contact . For it is one of the points through which the straight ...
... extremities of the proposed radius . COR . 7. If two spheres touch one another externally , the straight line which joins their centres shall pass through the point of contact . For it is one of the points through which the straight ...
Side 33
... extremities C and + INTERC.10 . D ) will cut BC and BD . Let it cut them in thet points E and F ; + INTERC.10 . wherefore BE , BF are ‡ equal . About E as a centre , with the radius EB , describe a sphere ; and about A as a centre ...
... extremities C and + INTERC.10 . D ) will cut BC and BD . Let it cut them in thet points E and F ; + INTERC.10 . wherefore BE , BF are ‡ equal . About E as a centre , with the radius EB , describe a sphere ; and about A as a centre ...
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