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 10
Side 51
... adjacent angles equal to one another , each of the angles is called a right angle . And the straight line which stands on the other is called a perpendicular to it ; and is also said to be at right angles to it . XXXVIII . An angle ...
... adjacent angles equal to one another , each of the angles is called a right angle . And the straight line which stands on the other is called a perpendicular to it ; and is also said to be at right angles to it . XXXVIII . An angle ...
Side 63
... adjacent angles . But when the adjacent angles which one straight line makes with another straight line are + I . Nom.37 . equal to one another , each of them is † a right angle ; therefore each of the angles DCF , ECF , is a right angle ...
... adjacent angles . But when the adjacent angles which one straight line makes with another straight line are + I . Nom.37 . equal to one another , each of them is † a right angle ; therefore each of the angles DCF , ECF , is a right angle ...
Side 65
... angles which one straight line makes with another on the one side of it , & c . Which was to be demonstrated . COR ... adjacent angles together equal to two right angles ; those two other straight lines shall be in one and the same ...
... angles which one straight line makes with another on the one side of it , & c . Which was to be demonstrated . COR ... adjacent angles together equal to two right angles ; those two other straight lines shall be in one and the same ...
Side 67
... angles ; and no point in the straight line drawn from D to E shall coincide with any point in BD or BE , except the ... adjacent angles to- gether equal to two right angles , all the first - mentioned straight lines shall be in one and ...
... angles ; and no point in the straight line drawn from D to E shall coincide with any point in BD or BE , except the ... adjacent angles to- gether equal to two right angles , all the first - mentioned straight lines shall be in one and ...
Side 70
... angles of the triangle AEB are equal to the re- maining angles of the triangle CEF respectively , viz . those to ... adjacent to another angle , as for instance AB , may be shown that the angles ABC , BAC are together less than two right ...
... angles of the triangle AEB are equal to the re- maining angles of the triangle CEF respectively , viz . those to ... adjacent to another angle , as for instance AB , may be shown that the angles ABC , BAC are together less than two right ...
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