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 ... |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 15.
Σελίδα vi
Consequences deducible from this are , that if two spheres touch one another
externally , they touch only in a point ; and if they ... Hence if about two assigned
points be described a succession of spheres touching one another , any number
of ...
Consequences deducible from this are , that if two spheres touch one another
externally , they touch only in a point ; and if they ... Hence if about two assigned
points be described a succession of spheres touching one another , any number
of ...
Σελίδα xi
Anything that can be made the object of touch , is called a 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 ...
Anything that can be made the object of touch , is called a 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 ...
Σελίδα 1
The only way in which coincidence can actually be brought to pass , is when the
things touch one another or are in contact . Thus there is coincidence between
the surface of a cast and the surface of the mould which contains it . And in like ...
The only way in which coincidence can actually be brought to pass , is when the
things touch one another or are in contact . Thus there is coincidence between
the surface of a cast and the surface of the mould which contains it . And in like ...
Σελίδα 14
Spheres are said to touch one another , which meet but do not cut one another .
Spheres described about the same centre , are called concentric . CoR . 2. A
sphere may be described about any centre , and with a central distance equal to
the ...
Spheres are said to touch one another , which meet but do not cut one another .
Spheres described about the same centre , are called concentric . CoR . 2. A
sphere may be described about any centre , and with a central distance equal to
the ...
Σελίδα 16
If two spheres touch one another externally , they touch only in a point . Let there
be two spheres whose centres are A and B , touching one another externally .
The one cannot touch the other in more than a single point at once . For if this be
...
If two spheres touch one another externally , they touch only in a point . Let there
be two spheres whose centres are A and B , touching one another externally .
The one cannot touch the other in more than a single point at once . For if this be
...
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 |