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 6-10 av 100
Side x
... Notes . In all this the object has been to do something towards giving Geometry a right to the denomination of an exact science ; a title , to which , after allowing for its superior capabilities , it has in fact had less claim than ...
... Notes . In all this the object has been to do something towards giving Geometry a right to the denomination of an exact science ; a title , to which , after allowing for its superior capabilities , it has in fact had less claim than ...
Side xi
... Note . 1 . II . NOMENCLATURE . AFTER a thing , or a class of things , has been rendered obvious to the senses , and either by speech , writing , pictorial representa- tion , or examination in its ... Note . See Note . V. That which bounds.
... Note . 1 . II . NOMENCLATURE . AFTER a thing , or a class of things , has been rendered obvious to the senses , and either by speech , writing , pictorial representa- tion , or examination in its ... Note . See Note . V. That which bounds.
Side xii
To which is Added an Appendix ... Thomas Perronet Thompson. See Note . See Note . V. That which bounds a solid , is called a surface . A surface , consequently , has length and breadth , but not thickness . For if it had thickness , it ...
To which is Added an Appendix ... Thomas Perronet Thompson. See Note . See Note . V. That which bounds a solid , is called a surface . A surface , consequently , has length and breadth , but not thickness . For if it had thickness , it ...
Side 1
... are called fac - similes . 3. Such as might be reduced to reciprocals or fac - similes , by a different arrangement of parts . Which are called equivalents . B See Note . See Note . See Note . See BOOK I. - NOMENCLATURE . 3.
... are called fac - similes . 3. Such as might be reduced to reciprocals or fac - similes , by a different arrangement of parts . Which are called equivalents . B See Note . See Note . See Note . See BOOK I. - NOMENCLATURE . 3.
Side 2
... Note . See Note . See Note . XV . A magnitude is said to be greater than another by a certain magnitude , when this last - mentioned magnitude being taken from the first , the remainder is equal to the second . And a magnitude is said ...
... Note . See Note . See Note . XV . A magnitude is said to be greater than another by a certain magnitude , when this last - mentioned magnitude being taken from the first , the remainder is equal to the second . And a magnitude is said ...
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 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 half the angle 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
Populære avsnitt
Side 51 - When a straight line standing on another straight line makes the 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.
Side 109 - PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another...
Side 111 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 120 - If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.
Side 72 - Any two sides of a triangle are together greater than the third side.
Side 55 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
Side 70 - Any two angles of a triangle are together less than two right angles.
Side 138 - ... the exterior angle equal to the interior and opposite on the same side of the line ; and likewise the two interior angles on the same side of the line together equal to two right angles.
Side 106 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.