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 18.
Σελίδα 1
... thus imagined to coincide , may three , or any other number . X. Points which
do not coincide , are said to be distant . XI . Two points A and B are said to be
equally distant with two others C and D , or to be at a distance equal to the
distance ...
... thus imagined to coincide , may three , or any other number . X. Points which
do not coincide , are said to be distant . XI . Two points A and B are said to be
equally distant with two others C and D , or to be at a distance equal to the
distance ...
Σελίδα 4
For example , a cooper knows that in every instance where he has tried it , the
distance that went exactly round the rim of his cask at six times , was the distance
to be taken in his compasses in order to describe the head that would fit . But he ...
For example , a cooper knows that in every instance where he has tried it , the
distance that went exactly round the rim of his cask at six times , was the distance
to be taken in his compasses in order to describe the head that would fit . But he ...
Σελίδα 12
By the For because the body is * a hardt Hypothesis . body , the distance from the
point B in t I. Nom . 3 . it to the point C will be unaltered in every situation of the
body . Wherefore the body may be placed in another N w situation , as M , such ...
By the For because the body is * a hardt Hypothesis . body , the distance from the
point B in t I. Nom . 3 . it to the point C will be unaltered in every situation of the
body . Wherefore the body may be placed in another N w situation , as M , such ...
Σελίδα 13
To describe a solid , all the points in whose surface shall be equidistant from an
assigned point within , and at a distance equal to the distance of any two points
that have been assigned . Let A and B be the two assigned points , in a hard
body ...
To describe a solid , all the points in whose surface shall be equidistant from an
assigned point within , and at a distance equal to the distance of any two points
that have been assigned . Let A and B be the two assigned points , in a hard
body ...
Σελίδα 14
And such point within , is called the centre of the sphere ; and the distance from it
to every point in the surface , is called the central distance . Spheres are said to
touch one another , which meet but do not cut one another . Spheres described ...
And such point within , is called the centre of the sphere ; and the distance from it
to every point in the surface , is called the central distance . Spheres are said to
touch one another , which meet but do not cut one another . Spheres described ...
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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 |