## 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 ... |

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Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson No preview available - 2015 |

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ABCD added alternate angle ABC angle BAC applied assigned Axiom axis base bisected body Book called centre change of place circle coincide common consequently Constr continually demonstrated described distance double drawn equal establish Euclid exterior angle extremities fall figure formed four right angles Geometry given straight line greater half impossible instance INTERC interior join kind less magnitude manner meet moved Note opposite parallel parallelogram parity of reasoning pass perpendicular plane portion prolonged proof Prop PROPOSITION proved radius remaining remaining angle respectively rest right angles Second self-rejoining line shown situation space sphere sphere whose centre square straight line surface taken terminated thing third side touch triangle triangle ABC true turned unequal universally Wherefore whole