Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 37.
Σελίδα
... the page , so that they fall directly under the eye in immediate connection with
the corresponding text . The given lines of the figures are full lines , the lines
employed.
... the page , so that they fall directly under the eye in immediate connection with
the corresponding text . The given lines of the figures are full lines , the lines
employed.
Σελίδα 12
George Albert Wentworth. E D This method enables us to compare unequal
magnitudes of the same kind . Suppose we have two angles , A B C and A ' B ' C '
. Let BL the side B C be placed on the side B ' C ' , so that the vertex B shall fall on
B ...
George Albert Wentworth. E D This method enables us to compare unequal
magnitudes of the same kind . Suppose we have two angles , A B C and A ' B ' C '
. Let BL the side B C be placed on the side B ' C ' , so that the vertex B shall fall on
B ...
Σελίδα 17
Draw E F . On A B as an axis , fold over O C F until it comes into the plane of 0 EF
. The line 0 C will take the direction of O E , ( since Z COF = _ E O F , each being
a rt . Z ) . The point C will fall upon the point E , ( since OC = 0 E by cons . ) ...
Draw E F . On A B as an axis , fold over O C F until it comes into the plane of 0 EF
. The line 0 C will take the direction of O E , ( since Z COF = _ E O F , each being
a rt . Z ) . The point C will fall upon the point E , ( since OC = 0 E by cons . ) ...
Σελίδα 18
FA will take the direction of F0 , ( since ZCFA = LCFO , each being a rt . 2 ) . Point
A will fall upon point 0 , ( FA = F0 , by hyp . ) . § 18 . . line C A = line C 0 , ( their
extremities being the same points ) . Q . E . D . PROPOSITION V . THEOREM . 54
.
FA will take the direction of F0 , ( since ZCFA = LCFO , each being a rt . 2 ) . Point
A will fall upon point 0 , ( FA = F0 , by hyp . ) . § 18 . . line C A = line C 0 , ( their
extremities being the same points ) . Q . E . D . PROPOSITION V . THEOREM . 54
.
Σελίδα 21
Then the point E must fall upon the point K ; otherwise one of these oblique lines
must be more remote from the I , and . . greater than the other ; which is contrary
to the hypothesis . . . FE = FK . Q . E . D . $ 55 PROPOSITION VIII . THEOREM .
Then the point E must fall upon the point K ; otherwise one of these oblique lines
must be more remote from the I , and . . greater than the other ; which is contrary
to the hypothesis . . . FE = FK . Q . E . D . $ 55 PROPOSITION VIII . THEOREM .
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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 |