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
... base ] has the 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 ...
... base ] has the 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 ...
Σελίδα 52
... base and 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 ...
... base and 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 ...
Σελίδα 84
... base ] , two straight lines equal to one another be drawn towards the same side , making equal interior angles at the base , each less than the sum of two right angles , but the two equal straight lines do not meet ; and the extremities ...
... base ] , two straight lines equal to one another be drawn towards the same side , making equal interior angles at the base , each less than the sum of two right angles , but the two equal straight lines do not meet ; and the extremities ...
Σελίδα 86
... base ; and is parallel to the base . For it has been shown that EF bisects DC at right angles . Wherefore , because EFC is a right angle , and AEF also is ‡ a right angle , they are * equal to one another . And they are + 1.27.Cor.l ...
... base ; and is parallel to the base . For it has been shown that EF bisects DC at right angles . Wherefore , because EFC is a right angle , and AEF also is ‡ a right angle , they are * equal to one another . And they are + 1.27.Cor.l ...
Σελίδα 88
... base AC are drawn * two equal straight lines AB , CE , making with AC the equal angles CAB , ACE , each of which is less than the sum of two right angles ; BACE is a tessera , and the angles ABE , CEB are equal to one another . And ...
... base AC are drawn * two equal straight lines AB , CE , making with AC the equal angles CAB , ACE , each of which is less than the sum of two right angles ; BACE is a tessera , and the angles ABE , CEB are equal to one another . And ...
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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