Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 13
2 . That a straight line can be produced to any distance , or can be terminated at
any point . 3 . That the circumference of a circle can be described about any
centre , at any distance from that centre . 48 . SYMBOLS AND ABBREVIATIONS .
is ...
2 . That a straight line can be produced to any distance , or can be terminated at
any point . 3 . That the circumference of a circle can be described about any
centre , at any distance from that centre . 48 . SYMBOLS AND ABBREVIATIONS .
is ...
Σελίδα 73
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 . 161 . DEF . The
Circumference of a circle is the line which bounds the circle . 162 . DEF . A
Radius of a circle is ...
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 . 161 . DEF . The
Circumference of a circle is the line which bounds the circle . 162 . DEF . A
Radius of a circle is ...
Σελίδα 75
For if one circle be applied to the other so that their centres coincide their
circumferences will coincide , since all the points of both are at the same distance
from the centre . 176 . Every diameter bisects the circle and its circumference .
For if we ...
For if one circle be applied to the other so that their centres coincide their
circumferences will coincide , since all the points of both are at the same distance
from the centre . 176 . Every diameter bisects the circle and its circumference .
For if we ...
Σελίδα 76
If it be possible , let H K intersect the circumference in three points , H , P , and K .
Then § 163 From 0 , the centre of the O , draw the radii 0 H , OP , and O K . OH ,
O P , and 0 K are equal , ( being radii of the same circle ) . . . if H K could intersect
...
If it be possible , let H K intersect the circumference in three points , H , P , and K .
Then § 163 From 0 , the centre of the O , draw the radii 0 H , OP , and O K . OH ,
O P , and 0 K are equal , ( being radii of the same circle ) . . . if H K could intersect
...
Σελίδα 77
In the same circle , or equal circles , equal angles at the centre intercept equal
arcs on the circumference . PI In the equal circles ABP and A ' B ' P ' let 20 = 20 ' .
We are to prove arc R S = arc R ' S ' . Apply O ABP to 0 A ' B ' P ' , so that 20 shall
...
In the same circle , or equal circles , equal angles at the centre intercept equal
arcs on the circumference . PI In the equal circles ABP and A ' B ' P ' let 20 = 20 ' .
We are to prove arc R S = arc R ' S ' . Apply O ABP to 0 A ' B ' P ' , so that 20 shall
...
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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 |