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 ix
... angles at the base less than right 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 ...
... angles at the base less than right 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 ...
Σελίδα 5
... right angles . The converse of which is , that if two angles of a triangle are less than right angles , the other is necessarily greater than a right angle . The negative is , that if one angle of a triangle is not greater than a right ...
... right angles . The converse of which is , that if two angles of a triangle are less than right angles , the other is necessarily greater than a right angle . The negative is , that if one angle of a triangle is not greater than a right ...
Σελίδα 51
... 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 greater than a right angle , is called obtuse . XXXIX ...
... 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 greater than a right angle , is called obtuse . XXXIX ...
Σελίδα 52
... right angle , is called right - angled . The side opposite to the right angle is called the hypotenuse . The other two sides are sometimes called the base and perpendicular . XLIX . A triangle which has an obtuse angle , is called obtuse - ...
... right angle , is called right - angled . The side opposite to the right angle is called the hypotenuse . The other two sides are sometimes called the base and perpendicular . XLIX . A triangle which has an obtuse angle , is called obtuse - ...
Σελίδα 62
... angles 1.5 . Cor.1 . BAD and ABE are ‡ equal to one another , and * 1.5 . Cor.2 . the anles BAF and ABF are * equal ... right angles to an assigned straight line , from an assigned point in the same . Let AB be the assigned straight line ...
... angles 1.5 . Cor.1 . BAD and ABE are ‡ equal to one another , and * 1.5 . Cor.2 . the anles BAF and ABF are * equal ... right angles to an assigned straight line , from an assigned point in the same . Let AB be the assigned straight line ...
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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