The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 140
Parallel planes are such as , however far produced in all possible directions ,
they will never meet . 2 . A line and plane ... The line of intersection is called the
edge of the angle , and the planes themselves the faces of the angle . 4 . If from
any ...
Parallel planes are such as , however far produced in all possible directions ,
they will never meet . 2 . A line and plane ... The line of intersection is called the
edge of the angle , and the planes themselves the faces of the angle . 4 . If from
any ...
Σελίδα 141
If planes passing through a point without a plane , pass also through the sides of
a polygon in that plane , and be limited by their adjacent ... If this surface be cut
by two planes parallel to the circle , the intercepted portion is a cylinder .
If planes passing through a point without a plane , pass also through the sides of
a polygon in that plane , and be limited by their adjacent ... If this surface be cut
by two planes parallel to the circle , the intercepted portion is a cylinder .
Σελίδα 142
CHAPTER I . PARALLELISM OF LINES AND PLANES . PROPOSITION I . If two
parallel planes be cut by a third plane , the sections will be parallel . Let the
parallel planes MN , PQ be cut by the plane AD in the lines AB , CD : these lines ,
AB ...
CHAPTER I . PARALLELISM OF LINES AND PLANES . PROPOSITION I . If two
parallel planes be cut by a third plane , the sections will be parallel . Let the
parallel planes MN , PQ be cut by the plane AD in the lines AB , CD : these lines ,
AB ...
Σελίδα 143
Wherefore since AB , CD are in one plane ABCD and never meet , they are
parallel . Similarly , C ' D ' is parallel to AB . ( 2 . ) The planes AD , AD '
intersecting in the line AB , they cannot meet in any point out of that line ; and
hence the lines ...
Wherefore since AB , CD are in one plane ABCD and never meet , they are
parallel . Similarly , C ' D ' is parallel to AB . ( 2 . ) The planes AD , AD '
intersecting in the line AB , they cannot meet in any point out of that line ; and
hence the lines ...
Σελίδα 144
If AB , EF be not in one plane , draw a plane through AB and E to cut the plane
CF in EF . Then since through AB and CD the planes AF ' , CF ' are drawn ,
intersecting in EF ' , the line EF is parallel to CD ( Prop . iv . ) . But ( Hypoth . ) ...
If AB , EF be not in one plane , draw a plane through AB and E to cut the plane
CF in EF . Then since through AB and CD the planes AF ' , CF ' are drawn ,
intersecting in EF ' , the line EF is parallel to CD ( Prop . iv . ) . But ( Hypoth . ) ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD angle ABC axis base bisected called centre circle circumference coincide common cone construction contained coordinate planes describe diameter difference dihedral angles distance divided double draw drawn edges equal equal angles equimultiples extremities faces figure four fourth given line given point greater hence horizontal inclination intersection join less likewise magnitudes manner means meet method multiple opposite parallel parallel planes parallelogram pass perpendicular perspective picture plane MN plane of projection position preceding prism problem produced projection Prop proportionals PROPOSITION ratio reason rectangle rectilineal remaining respectively right angles segment shadow shown sides similar sphere square straight line surface taken tangent THEOR third touch trace triangle triangle ABC vertical Whence Wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 35 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 4 - AB; but things which are equal to the same are equal to one another...
Σελίδα 128 - EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BG, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (14.
Σελίδα 8 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced...
Σελίδα 21 - BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c.
Σελίδα 65 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Σελίδα 116 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Πληροφορίες βιβλιογραφίας
| Τίτλος | The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick Τόμος 2 του An Elementary Course of Mathematics, Royal Military Academy, Woolwich |
| Συγγραφέας | Royal Military Academy, Woolwich |
| Εκδότης | J. Weale, 1853 |
| Πρωτότυπο από | Πανεπιστήμιο Χάρβαρντ |
| Ψηφιοποιήθηκε στις | 14 Ιουλ. 2007 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |