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 18
Side 51
... perpendicular to it ; and is also said to be at right angles to it . XXXVIII . An angle greater than a right angle , is called obtuse . XXXIX . An angle less than a right angle , is called acute . XL . Angles greater or less than right ...
... perpendicular to it ; and is also said to be at right angles to it . XXXVIII . An angle greater than a right angle , is called obtuse . XXXIX . An angle less than a right angle , is called acute . XL . Angles greater or less than right ...
Side 52
... perpendicular . XLIX . A triangle which has an obtuse angle , is called obtuse - angled . L. A triangle which has all its angles acute , is called acule - angled . LI . A triangle which has all its angles oblique , is called oblique ...
... perpendicular . XLIX . A triangle which has an obtuse angle , is called obtuse - angled . L. A triangle which has all its angles acute , is called acule - angled . LI . A triangle which has all its angles oblique , is called oblique ...
Side 68
... perpendicular to BAC and bisect the angle BAC by dividing it into two right angles . Third Case ; if the angle BAC is greater than the sum of two right angles ( or the angle intended is that formed by the turning of the radius vectus ...
... perpendicular to BAC and bisect the angle BAC by dividing it into two right angles . Third Case ; if the angle BAC is greater than the sum of two right angles ( or the angle intended is that formed by the turning of the radius vectus ...
Side 76
... perpendicular to an as- signed straight line of unlimited length , from an assigned point without it . Let AB be the ... perpendicular to AB . In AB take any point , as D ; and join CD . If CDB is a right angle , then there is drawn a ...
... perpendicular to an as- signed straight line of unlimited length , from an assigned point without it . Let AB be the ... perpendicular to AB . In AB take any point , as D ; and join CD . If CDB is a right angle , then there is drawn a ...
Side 77
... perpendicular to the other ; the perpendicular shall fall on that side of C , on which is the acute angle . B 77 For the perpendicular cannot fall upon the point C ; because ACD is † not a right angle but an acute angle . Neither can it ...
... perpendicular to the other ; the perpendicular shall fall on that side of C , on which is the acute angle . B 77 For the perpendicular cannot fall upon the point C ; because ACD is † not a right angle but an acute angle . Neither can it ...
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