Elements of Geometry |
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Σελίδα 58
A Square is a parallelogram which has its angles right angles , and its sides
equal . 128 . DEF . A Rhombus is a parallelogram which has its sides equal , but
its angles oblique angles . 129 . Def . A Rhomboid is a parallelogram which has
its ...
A Square is a parallelogram which has its angles right angles , and its sides
equal . 128 . DEF . A Rhombus is a parallelogram which has its sides equal , but
its angles oblique angles . 129 . Def . A Rhomboid is a parallelogram which has
its ...
Σελίδα 72
If from the diagonal B D of a square A B C D , B E be cut off equal to BC , and E F
be drawn perpendicular to BD , show that D E is equal to E F , and also to FC . 13
. Show that the three lines drawn from the vertices of a triangle to the middle ...
If from the diagonal B D of a square A B C D , B E be cut off equal to BC , and E F
be drawn perpendicular to BD , show that D E is equal to E F , and also to FC . 13
. Show that the three lines drawn from the vertices of a triangle to the middle ...
Σελίδα 127
Describe a circle cutting the sides of a given square , so that its circumference
may be divided at the points of intersection into eight equal arcs . 6 . Construct an
angle of 60° , one of 30° , one of 120° , one of 150° , one of 45° , and one of 135o
.
Describe a circle cutting the sides of a given square , so that its circumference
may be divided at the points of intersection into eight equal arcs . 6 . Construct an
angle of 60° , one of 30° , one of 120° , one of 150° , one of 45° , and one of 135o
.
Σελίδα 150
V . The square on the hypotenuse has the same ratio to the square on either side
as the hypotenuse has to the segment adjacent to that side . В A F In the right
triangle A B C , let B F be drawn from the vertex of the right angle B ,
perpendicular ...
V . The square on the hypotenuse has the same ratio to the square on either side
as the hypotenuse has to the segment adjacent to that side . В A F In the right
triangle A B C , let B F be drawn from the vertex of the right angle B ,
perpendicular ...
Σελίδα 160
In any triangle the product of two sides is equal to the product of the segments of
the third side formed by the bisector of the opposite angle together with the
square of the bisector . Let Z BAC of the A A B C be bisected by the straight line
AD .
In any triangle the product of two sides is equal to the product of the segments of
the third side formed by the bisector of the opposite angle together with the
square of the bisector . Let Z BAC of the A A B C be bisected by the straight line
AD .
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 |