Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 41.
Σελίδα
Thus a rectangle with a constant base b , and a variable altitude X , will afford an
obvious illustration of the axiomatic truth contained in [ 4 ] , page 88 . If x increase
and approach the altitude a as a limit , the area of the rectangle increases and ...
Thus a rectangle with a constant base b , and a variable altitude X , will afford an
obvious illustration of the axiomatic truth contained in [ 4 ] , page 88 . If x increase
and approach the altitude a as a limit , the area of the rectangle increases and ...
Σελίδα 37
The Base of a triangle is the side on which the triangle is supposed to stand . In
an isosceles triangle , the side which is not one of the equal sides is considered
the base . HYPOTENUSE . RIGHT . OBTUSE . ACUTE . 87 . TRIANGLES .
The Base of a triangle is the side on which the triangle is supposed to stand . In
an isosceles triangle , the side which is not one of the equal sides is considered
the base . HYPOTENUSE . RIGHT . OBTUSE . ACUTE . 87 . TRIANGLES .
Σελίδα 38
In any triangle , the angle opposite the base is called the Vertical angle , and its
vertex is called the Vertex of the triangle . 93 . DEF . The Altitude of a triangle is
the perpendicular distance from the vertex to the base , or the base produced . 94
.
In any triangle , the angle opposite the base is called the Vertical angle , and its
vertex is called the Vertex of the triangle . 93 . DEF . The Altitude of a triangle is
the perpendicular distance from the vertex to the base , or the base produced . 94
.
Σελίδα 47
LA = LB , ( being homologous { s of equal ) . Q . E . D . Ex . If the equal sides of an
isosceles triangle be produced , show that the angles formed with the base by the
sides produced are equal . PROPOSITION XXIX . THEOREM . 113 . A straight ...
LA = LB , ( being homologous { s of equal ) . Q . E . D . Ex . If the equal sides of an
isosceles triangle be produced , show that the angles formed with the base by the
sides produced are equal . PROPOSITION XXIX . THEOREM . 113 . A straight ...
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 ...
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 |