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 17
Side ix
... angles , the angles opposite to the base cannot be right angles . And this because , if a number of such figures are placed side by side , a straight line of unlimited length which shall travel continuously from one of the angular points ...
... angles , the angles opposite to the base cannot be right angles . And this because , if a number of such figures are placed side by side , a straight line of unlimited length which shall travel continuously from one of the angular points ...
Side xii
... angular , or those of which the subject is an angle . Figures of all kinds , lines , and points , will always be considered as ex- hibited on a hard body of some kind , which causes the position of the several parts or points to be ...
... angular , or those of which the subject is an angle . Figures of all kinds , lines , and points , will always be considered as ex- hibited on a hard body of some kind , which causes the position of the several parts or points to be ...
Side 52
... angular points is called a diagonal . For brevity , quadrilateral figures may be named by the letters at two of their opposite angles , when no obscurity arises therefrom . LIV . Of polygons , such as have five , six , seven , eight ...
... angular points is called a diagonal . For brevity , quadrilateral figures may be named by the letters at two of their opposite angles , when no obscurity arises therefrom . LIV . Of polygons , such as have five , six , seven , eight ...
Side 65
... angles made by any number of straight lines proceeding from one point and in the same plane , are together equal to four right angles . For if any one of the straight lines be prolonged on the other side of the angular point , the angles ...
... angles made by any number of straight lines proceeding from one point and in the same plane , are together equal to four right angles . For if any one of the straight lines be prolonged on the other side of the angular point , the angles ...
Side 75
... angular points to others . And triangles having their sides equal to the sides of these respect- ively , may ( by Cor . 1 above ) be constructed in succession , and in the corresponding positions . And because in the corresponding tri- ...
... angular points to others . And triangles having their sides equal to the sides of these respect- ively , may ( by Cor . 1 above ) be constructed in succession , and in the corresponding positions . And because in the corresponding tri- ...
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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