Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 68
The bounding lines are the sides of the polygon , and their sum , as A B + B C +
C D , etc . , is the Perimeter of the polygon . The angles which the adjacent sides
make with each other are the angles of the polygon . 145 . Def . A Diagonal of a ...
The bounding lines are the sides of the polygon , and their sum , as A B + B C +
C D , etc . , is the Perimeter of the polygon . The angles which the adjacent sides
make with each other are the angles of the polygon . 145 . Def . A Diagonal of a ...
Σελίδα 72
If from any point in the base of an isosceles triangle parallels to the equal sides
be drawn , show that a parallelogram is formed whose perimeter is equal to the
sum of the equal sides of the triangle . 12 . If from the diagonal B D of a square ...
If from any point in the base of an isosceles triangle parallels to the equal sides
be drawn , show that a parallelogram is formed whose perimeter is equal to the
sum of the equal sides of the triangle . 12 . If from the diagonal B D of a square ...
Σελίδα 126
If a triangle A B C be formed by the intersection of three tangents to a
circumference whose centre is 0 , two of which , A M and A N , are fixed , while
the third , BC , touches the circumference at a variable point P ; show that the
perimeter of the ...
If a triangle A B C be formed by the intersection of three tangents to a
circumference whose centre is 0 , two of which , A M and A N , are fixed , while
the third , BC , touches the circumference at a variable point P ; show that the
perimeter of the ...
Σελίδα 159
The homologous altitudes of similar triangles have the same ratio as their
perimeters . Denote the perimeter of the first by P , and that of the second by P ' .
Р А В Then § 295 P = A ' B ' ( the perimeters of two similar polygons have the
same ...
The homologous altitudes of similar triangles have the same ratio as their
perimeters . Denote the perimeter of the first by P , and that of the second by P ' .
Р А В Then § 295 P = A ' B ' ( the perimeters of two similar polygons have the
same ...
Σελίδα 182
The area of a circumscribed polygon is equal to onehalf the product of the
perimeter by the radius of the inscribed circle . Let ABSQ , etc . , be a
circumscribed polygon , and C the centre of the inscribed circle . Denote the
perimeter of the ...
The area of a circumscribed polygon is equal to onehalf the product of the
perimeter by the radius of the inscribed circle . Let ABSQ , etc . , be a
circumscribed polygon , and C the centre of the inscribed circle . Denote the
perimeter of the ...
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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 |