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 22
Side vi
... body about the two centres which remain at rest , the point of contact remains unmoved . Hence if about two assigned points be described a succession of spheres touching one another , any number of intermediate points may be determined ...
... body about the two centres which remain at rest , the point of contact remains unmoved . Hence if about two assigned points be described a succession of spheres touching one another , any number of intermediate points may be determined ...
Side xi
... body . III . A body whose particles are immoveable among themselves , at least by any force there is question of employing ; is called a hard body . IV . That which has length , breadth , and thickness , is called a solid . A solid may ...
... body . III . A body whose particles are immoveable among themselves , at least by any force there is question of employing ; is called a hard body . IV . That which has length , breadth , and thickness , is called a solid . A solid may ...
Side xii
... body of some kind , which causes the position of the several parts or points to be fixed with relation to one another ; and will , on occasion , be supposed to be turned about an assigned point or points , in any manner that can be ...
... body of some kind , which causes the position of the several parts or points to be fixed with relation to one another ; and will , on occasion , be supposed to be turned about an assigned point or points , in any manner that can be ...
Side 12
... body . First Case ; the body A may be turned about any one point in it , as B , such point remaining unmoved . For the body may be placed in another situation , as M , such that the point B occupies the same place in fixed space as it ...
... body . First Case ; the body A may be turned about any one point in it , as B , such point remaining unmoved . For the body may be placed in another situation , as M , such that the point B occupies the same place in fixed space as it ...
Side 13
... body was in the situation A. And for the same reason , between the situations A and M the body may be placed in other situations as N and O , in all of which the points B and C shall respectively occupy the same places as when the body ...
... body was in the situation A. And for the same reason , between the situations A and M the body may be placed in other situations as N and O , in all of which the points B and C shall respectively occupy the same places as when the body ...
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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.