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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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 12
... space as it did when the body was in the situation A. Also between the situations A and M , the body may be placed in other situations as N and O , in all of which the point B shall occupy the same place as when the body was in the ...
... space as it did when the body was in the situation A. Also between the situations A and M , the body may be placed in other situations as N and O , in all of which the point B shall occupy the same place as when the body was in the ...
Σελίδα 13
... space as they did when the body was in the situation A. And for the same reason , between the situations A and M the body may be placed in other situations as N and O , in all of which the points B and C shall respectively occupy the ...
... space as they did when the body was in the situation A. And for the same reason , between the situations A and M the body may be placed in other situations as N and O , in all of which the points B and C shall respectively occupy the ...
Σελίδα 17
... space CEGDHF and not else- where . For each of them will be * without change of place ; wherefore they must at all times coincide in that surface and not elsewhere ; for if they do not , one or both must have suffered change of place ...
... space CEGDHF and not else- where . For each of them will be * without change of place ; wherefore they must at all times coincide in that surface and not elsewhere ; for if they do not , one or both must have suffered change of place ...
Σελίδα 18
... space CEGDHF and not elsewhere , in whatsoever manner they may be turned about their respective centres . Let then the sphere whose centre is A , be turned about A , till the line on its surface which ori- ginally coincided with CEGDHF ...
... space CEGDHF and not elsewhere , in whatsoever manner they may be turned about their respective centres . Let then the sphere whose centre is A , be turned about A , till the line on its surface which ori- ginally coincided with CEGDHF ...
Σελίδα 23
... space about B were filled with some yielding substance like plaster , out of which a sphere was to be formed through the scraping away of the greatest possible quantity of matter by the turning of the sphere A in different directions ...
... space about B were filled with some yielding substance like plaster , out of which a sphere was to be formed through the scraping away of the greatest possible quantity of matter by the turning of the sphere A in different directions ...
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