Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 37
In two equal triangles , the equal angles are called Homologous angles , and the
equal sides are called Homologous sides . 82 . In equal triangles the equal sides
are opposite the equal angles . SCALENE . ISOSCELES . EQUILATERAL . 83 .
In two equal triangles , the equal angles are called Homologous angles , and the
equal sides are called Homologous sides . 82 . In equal triangles the equal sides
are opposite the equal angles . SCALENE . ISOSCELES . EQUILATERAL . 83 .
Σελίδα 46
COROLLARY . Two right triangles are equal when a side and an acute angle of
the one are equal respectively to an homologous side and acute angle of the
other . PROPOSITION XXVIII . THEOREM . 112 . In an isosceles 46 GEOMETRY .
COROLLARY . Two right triangles are equal when a side and an acute angle of
the one are equal respectively to an homologous side and acute angle of the
other . PROPOSITION XXVIII . THEOREM . 112 . In an isosceles 46 GEOMETRY .
Σελίδα 47
In an isosceles triangle the angles opposite the equal sides are equal . OR AL AB
Let ABC be an isosceles triangle , having the sides AC and C B equal . We are to
prove ZA = 2 B . From C draw the straight line C E so as to bisect the LAC B . In ...
In an isosceles triangle the angles opposite the equal sides are equal . OR AL AB
Let ABC be an isosceles triangle , having the sides AC and C B equal . We are to
prove ZA = 2 B . From C draw the straight line C E so as to bisect the LAC B . In ...
Σελίδα 48
A straight line which bisects the angle at the vertex af an isosceles triangle
divides the triangle into two equal triangles , is perpendicular to the base , and
bisects the base . Let the line C E bisect the Z A C B of the isosceles A ACB . We
are to ...
A straight line which bisects the angle at the vertex af an isosceles triangle
divides the triangle into two equal triangles , is perpendicular to the base , and
bisects the base . Let the line C E bisect the Z A C B of the isosceles A ACB . We
are to ...
Σελίδα 49
PROPOSITION XXX . THEOREM . 114 . If two angles of a triangle be equal , the
sides opposite the equal angles are equal , and the triangle is isosceles . - - - In
the triangle A BC , let the x B = L C . We are to prove AB = A C . Draw A D I to BC .
PROPOSITION XXX . THEOREM . 114 . If two angles of a triangle be equal , the
sides opposite the equal angles are equal , and the triangle is isosceles . - - - In
the triangle A BC , let the x B = L C . We are to prove AB = A C . Draw A D I to BC .
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 |