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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Side viii
... proposition . There may be things of which the evidence is continually before the senses ; but these are not self - evident , but proved by the con- tinual evidence of the senses . There may be things whose connexion with other things ...
... proposition . There may be things of which the evidence is continually before the senses ; but these are not self - evident , but proved by the con- tinual evidence of the senses . There may be things whose connexion with other things ...
Side ix
... proposition that the greatest is greatest . ' 6 In the present Edition , the part relating to the disputed principle ... propositions ; than which nothing has given a greater handle to the supporters of practical mal - reasoning . With a ...
... proposition that the greatest is greatest . ' 6 In the present Edition , the part relating to the disputed principle ... propositions ; than which nothing has given a greater handle to the supporters of practical mal - reasoning . With a ...
Side x
... Proposition or Corollary has been admitted throughout , which is not subsequently cited ; with the exception of the concluding one , and of a small number the application of which in the following Books of Euclid , or other reason for ...
... Proposition or Corollary has been admitted throughout , which is not subsequently cited ; with the exception of the concluding one , and of a small number the application of which in the following Books of Euclid , or other reason for ...
Side xi
... Proposition . The Intercalary Book is expressed by INTERC . ) See Note . I. NOMENCLATURE . AFTER a thing , or a class of things , has been rendered obvious to the senses , and either by speech , writing , pictorial representa- tion , or ...
... Proposition . The Intercalary Book is expressed by INTERC . ) See Note . I. NOMENCLATURE . AFTER a thing , or a class of things , has been rendered obvious to the senses , and either by speech , writing , pictorial representa- tion , or ...
Side 2
... Propositions . XIX . A Proposition dependent on some other that has been previously established ; but which , by reason of the simplicity of the steps required to connect it with the former , or other causes , it is convenient to state ...
... Propositions . XIX . A Proposition dependent on some other that has been previously established ; but which , by reason of the simplicity of the steps required to connect it with the former , or other causes , it is convenient to state ...
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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