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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Αποτελέσματα 1 - 5 από τα 44.
Σελίδα ix
If a tessera ( or quadrilateral rectilinear plane figure of which two of the opposite
sides are equal to one another and make ... And this because , if a number of
such figures are placed side by side , a straight line of unlimited length which
shall ...
If a tessera ( or quadrilateral rectilinear plane figure of which two of the opposite
sides are equal to one another and make ... And this because , if a number of
such figures are placed side by side , a straight line of unlimited length which
shall ...
Σελίδα xii
Anything that has boundaries which are fixed , is called a figure . Figures are
solid , superficial , or linear , according as the subject is a solid , surface , or line .
To which may hereafter be added angular , or those of which the subject is an
angle ...
Anything that has boundaries which are fixed , is called a figure . Figures are
solid , superficial , or linear , according as the subject is a solid , surface , or line .
To which may hereafter be added angular , or those of which the subject is an
angle ...
Σελίδα 13
Any solid , surface , line , or figure , may be turned about any one point , or about
any two points , in it ; such point or points remaining unmoved . For it is supposed
to be represented on a hard body which may be so turned . PROPOSITION III .
Any solid , surface , line , or figure , may be turned about any one point , or about
any two points , in it ; such point or points remaining unmoved . For it is supposed
to be represented on a hard body which may be so turned . PROPOSITION III .
Σελίδα 14
be let the turning be continued in various directions as called for , until the line
AC shall have been applied to the entire surface of a solid ( as would be done if it
were employed to scoop out a hollow figure from the interior of some yielding ...
be let the turning be continued in various directions as called for , until the line
AC shall have been applied to the entire surface of a solid ( as would be done if it
were employed to scoop out a hollow figure from the interior of some yielding ...
Σελίδα 26
A body or figure which is turned about two points in it that are also the extremities
of a straight line , inasmuch as the whole of the straight line remains without
change of place ) is said to be turned round such straight line . When from any
point ...
A body or figure which is turned about two points in it that are also the extremities
of a straight line , inasmuch as the whole of the straight line remains without
change of place ) is said to be turned round such straight line . When from any
point ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
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 |