Elements of Geometry |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 5.
Σελίδα 245
Two points are Symmetrical when they are situated on opposite sides of , and at
equal distances from , a fixed point , line , or plane , taken as an object of
reference . 417 . When a point is taken as an object of reference , it is called the
Centre ...
Two points are Symmetrical when they are situated on opposite sides of , and at
equal distances from , a fixed point , line , or plane , taken as an object of
reference . 417 . When a point is taken as an object of reference , it is called the
Centre ...
Σελίδα 246
Two plane figures are symmetrical with respect to a centre , an axis , or a plane ,
if every point of either figure have its corresponding symmetrical point in the other
. B В . BI ABI Α ' Α ' Fig . 1 . Fig . 2 . Fig . 3 . Thus , the lines A B and A ' B ' are ...
Two plane figures are symmetrical with respect to a centre , an axis , or a plane ,
if every point of either figure have its corresponding symmetrical point in the other
. B В . BI ABI Α ' Α ' Fig . 1 . Fig . 2 . Fig . 3 . Thus , the lines A B and A ' B ' are ...
Σελίδα 247
Two symmetrical figures with respect to a centre can be brought into coincidence
by revolving one of them in its own plane about the centre , every radius of
symmetry revolving through two right angles at the same time . Two symmetrical ...
Two symmetrical figures with respect to a centre can be brought into coincidence
by revolving one of them in its own plane about the centre , every radius of
symmetry revolving through two right angles at the same time . Two symmetrical ...
Σελίδα 248
Two equal and parallel lines are symmetrical with respect to a centre . BI Let A B
and A ' B ' be equal and parallel lines . We are to prove A B and A ' B '
symmetrical . Draw A A and B B ' , and through the point of their intersection C ,
draw any ...
Two equal and parallel lines are symmetrical with respect to a centre . BI Let A B
and A ' B ' be equal and parallel lines . We are to prove A B and A ' B '
symmetrical . Draw A A and B B ' , and through the point of their intersection C ,
draw any ...
Σελίδα 249
If a figure be symmetrical with respect to two axes perpendicular to each other , it
is symmetrical with respect to their intersection as a centre . Y Let the figure
ABCDEFGH be symmetrical to the two axes X X ' , Y Y ' which intersect at 0 . We
are ...
If a figure be symmetrical with respect to two axes perpendicular to each other , it
is symmetrical with respect to their intersection as a centre . Y Let the figure
ABCDEFGH be symmetrical to the two axes X X ' , Y Y ' which intersect at 0 . We
are ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
acute adjacent altitude arc A B base bisect called centre chord circle circumference circumscribed coincide common Cons construct contained COROLLARY describe diagonals diameter difference direction divided Draw equal distances equal respectively equilateral equivalent erected extremities fall figure formed four given given line greater homologous sides hypotenuse included inscribed intersect isosceles joining less Let A B limit line A B lines drawn mean measured meet middle point multiplied one-half opposite sides parallelogram perimeter perpendicular plane position PROBLEM proportional prove Q. E. D. PROPOSITION quantities radii radius equal ratio rect rectangles regular polygon right angles segment shortest Show similar similar polygons square straight line Substitute subtend surface symmetrical tangent THEOREM triangle variable vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 116 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 126 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 197 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 192 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 132 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 165 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 62 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
Σελίδα 63 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 136 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry |
| Συγγραφέας | George Albert Wentworth |
| Εκδότης | Ginn and Heath, 1881 |
| Πρωτότυπο από | Πανεπιστήμιο Χάρβαρντ |
| Ψηφιοποιήθηκε στις | 28 Φεβ. 2007 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |