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 |
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Resultat 1-5 av 27
Side 50
... angle between them . B A D C E Hence angles are compared together by their extension sideways only ; without ... remaining letters is somewhere upon one of those straight lines , and the other upon the other . Thus the angle between the ...
... angle between them . B A D C E Hence angles are compared together by their extension sideways only ; without ... remaining letters is somewhere upon one of those straight lines , and the other upon the other . Thus the angle between the ...
Side 56
... angle BAC equal to the angle EDF . The third side BC shall be equal to the third side EF , and the triangle BAC to ... remaining angles of the one would coincide with the remaining angles of the other respectively , and be equal to them ...
... angle BAC equal to the angle EDF . The third side BC shall be equal to the third side EF , and the triangle BAC to ... remaining angles of the one would coincide with the remaining angles of the other respectively , and be equal to them ...
Side 57
... remaining angles of the one are equal to the remaining angles of the other respectively , to which the equal sides are oppo- site ; viz . the angle AFC to the angle AGB , and the angle ACF to the angle ABG . Also , because the whole AF ...
... remaining angles of the one are equal to the remaining angles of the other respectively , to which the equal sides are oppo- site ; viz . the angle AFC to the angle AGB , and the angle ACF to the angle ABG . Also , because the whole AF ...
Side 61
... angle which is between the two sides of the one , shall be equal to the angle which is between the two sides equal ... remaining angles of the one will coincide with the remaining angles of the other respectively , and be equal to them ...
... angle which is between the two sides of the one , shall be equal to the angle which is between the two sides equal ... remaining angles of the one will coincide with the remaining angles of the other respectively , and be equal to them ...
Side 65
... angles ; wherefore the * INTERC . 1. angles ABD , ABE are together equal * to ABD , ABC . Take away the common angle ABD , and the remaining angle ABE + INTERC . 1. must be equal to the remaining angle ABC , the less to the greater ...
... angles ; wherefore the * INTERC . 1. angles ABD , ABE are together equal * to ABD , ABC . Take away the common angle ABD , and the remaining angle ABE + INTERC . 1. must be equal to the remaining angle ABC , the less to the greater ...
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