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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Σελίδα iii
WITH ALTERATIONS AND FAMILIAR NOTES ; AND AN INTERCALARY BOOK
IN WHICH THE STRAIGHT LINE AND ... Being an attempt to get rid of Axioms
and Postulates ; and particularly to establish the Theory of Parallel Lines without
...
WITH ALTERATIONS AND FAMILIAR NOTES ; AND AN INTERCALARY BOOK
IN WHICH THE STRAIGHT LINE AND ... Being an attempt to get rid of Axioms
and Postulates ; and particularly to establish the Theory of Parallel Lines without
...
Σελίδα vi
If two equal spheres be placed touching one another externally , and about the
centre of each a sphere be described passing through the centre of the other ,
and a straight line of unlimited length be drawn from the point of contact of the
two ...
If two equal spheres be placed touching one another externally , and about the
centre of each a sphere be described passing through the centre of the other ,
and a straight line of unlimited length be drawn from the point of contact of the
two ...
Σελίδα ix
In the present Edition , the part relating to the disputed principle of Parallel Lines
has been reduced in bulk to one half , and ... And this because , if a number of
such figures are placed side by side , a straight line of unlimited length which
shall ...
In the present Edition , the part relating to the disputed principle of Parallel Lines
has been reduced in bulk to one half , and ... And this because , if a number of
such figures are placed side by side , a straight line of unlimited length which
shall ...
Σελίδα 26
A line , which being turned about its extreme points , every point in it is without
change of place , is called a straight line . A body or figure which is turned about
two points in it that are also the extremities of a straight line , inasmuch as the ...
A line , which being turned about its extreme points , every point in it is without
change of place , is called a straight line . A body or figure which is turned about
two points in it that are also the extremities of a straight line , inasmuch as the ...
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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 added alternate angle ABC angle BAC applied aret assigned axis base bisected body Book called centre change of place circle coincide common consequently Constr continually demonstrated described distance double drawn equal Euclid exterior angle extremities fall figure follows 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 angle respectively rest right angles Second self-rejoining line shown situation space sphere sphere whose centre square straight line succession surface taken terminated thing third side touch triangle triangle ABC true turned unequal universally Wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 109 - PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another...
Σελίδα 111 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 72 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 103 - ... twice as many right angles as the figure has sides.
Σελίδα 70 - Any two angles of a triangle are together less than two right angles.
Σελίδα 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.
Σελίδα 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.
Πληροφορίες βιβλιογραφίας
| Τίτλος | 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 ... |
| Συγγραφέας | Thomas Perronet Thompson |
| Έκδοση | 4 |
| Εκδότης | Robert Heward, 1833 |
| Πρωτότυπο από | Πανεπιστήμιο Χάρβαρντ |
| Ψηφιοποιήθηκε στις | 26 Απρ. 2007 |
| Μέγεθος | 150 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |