Elements of Geometry |
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Σελίδα 9
Perpendicular Lines are lines which make a right angle with each other . 27 .
DEF . An Acute Angle is an angle - c less than a right angle ; as the angle B A C .
28 . DEF . An ( btuse Angle is an angle greater than a right angle ; as the angle
DEF ...
Perpendicular Lines are lines which make a right angle with each other . 27 .
DEF . An Acute Angle is an angle - c less than a right angle ; as the angle B A C .
28 . DEF . An ( btuse Angle is an angle greater than a right angle ; as the angle
DEF ...
Σελίδα 12
... the angle A B C is greater than A ' B ' C ' . This method of superposition enВ С
ables us to add magnitudes of the A same kind . Thus , if we have two Cstraight
lines A B and CD , by Aplacing the point C on B , and keeping C D in the same ...
... the angle A B C is greater than A ' B ' C ' . This method of superposition enВ С
ables us to add magnitudes of the A same kind . Thus , if we have two Cstraight
lines A B and CD , by Aplacing the point C on B , and keeping C D in the same ...
Σελίδα 13
... are unequal . 6 . Things which are double the same thing , or equal things , are
equal to each other . 7 . Things which are halves of the same thing , or of equal
things , are equal to each other . 8 . The whole is greater than any of its parts . 9 .
... are unequal . 6 . Things which are double the same thing , or equal things , are
equal to each other . 7 . Things which are halves of the same thing , or of equal
things , are equal to each other . 8 . The whole is greater than any of its parts . 9 .
Σελίδα 14
is ( or are ) greater than . Sup . supplementary . < is ( or are ) less than . Sup . adj .
supplementary - adjait . A right triangle . cent . rt . A right triangles . Ex . exercise .
O circle . Ill . illustration . © circles . + increased by . – diminished by .
is ( or are ) greater than . Sup . supplementary . < is ( or are ) less than . Sup . adj .
supplementary - adjait . A right triangle . cent . rt . A right triangles . Ex . exercise .
O circle . Ill . illustration . © circles . + increased by . – diminished by .
Σελίδα 19
The sum of two lines drawn from a point to the extremities of a straight line is
greater than the sum of two other lines similarly drawn , but included by them . Let
C A and C B be two lines drawn from the point C to the extremities of the straight
...
The sum of two lines drawn from a point to the extremities of a straight line is
greater than the sum of two other lines similarly drawn , but included by them . Let
C A and C B be two lines drawn from the point C to the extremities of the straight
...
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 |