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 xi
... 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 examination in its proper substance , has been ...
... 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 examination in its proper substance , has been ...
Σελίδα 13
... INTERC . 2. which are the points A and B being turned * about B ; and let the line AC be expressed on a hard body in which the point B is also situate . By the turning of this last - mentioned hard body about B , let the line AC be made ...
... INTERC . 2. which are the points A and B being turned * about B ; and let the line AC be expressed on a hard body in which the point B is also situate . By the turning of this last - mentioned hard body about B , let the line AC be made ...
Σελίδα 15
... INTERC . 2. centre is B , bet turned in any man- ner whatsoever about the centre B which remains at rest . The sphere shall be without change of place . • INTERC . 3 . Cor . 3 . + Constr . For if its reciprocal be sup- posed to remain ...
... INTERC . 2. centre is B , bet turned in any man- ner whatsoever about the centre B which remains at rest . The sphere shall be without change of place . • INTERC . 3 . Cor . 3 . + Constr . For if its reciprocal be sup- posed to remain ...
Σελίδα 16
... For if this be disputed , First Case ; let it be assumed that they coincide in the surface CEGDHF in Fig . 1 below , and not elsewhere . But if so , Fig . 1 . 4 . E F · B H D * INTERC . 4 . + INTERC . 2 . 16 INTERCALARY BOOK ,
... For if this be disputed , First Case ; let it be assumed that they coincide in the surface CEGDHF in Fig . 1 below , and not elsewhere . But if so , Fig . 1 . 4 . E F · B H D * INTERC . 4 . + INTERC . 2 . 16 INTERCALARY BOOK ,
Σελίδα 17
To which is Added an Appendix ... Thomas Perronet Thompson. * INTERC . 4 . + INTERC . 2 . II . Nom . 3 . * I.Nom.26 . See Note . either or both of the spheres may be turned in any manner whatsoever about its centre , and they must still ...
To which is Added an Appendix ... Thomas Perronet Thompson. * INTERC . 4 . + INTERC . 2 . II . Nom . 3 . * I.Nom.26 . See Note . either or both of the spheres may be turned in any manner whatsoever about its centre , and they must still ...
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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