Elements of Geometry |
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Αποτελέσματα 6 - 10 από τα 16.
Σελίδα 226
By bisecting the arcs A B , BC , etc . , a regular polygon of 8 sides may be
inscribed ; and , by continuing the process , regular polygons of 16 , 32 , 64 , etc .
, sides may be inscribed . PROPOSITION XVI . PROBLEM . . 391 . To inscribe
226 ...
By bisecting the arcs A B , BC , etc . , a regular polygon of 8 sides may be
inscribed ; and , by continuing the process , regular polygons of 16 , 32 , 64 , etc .
, sides may be inscribed . PROPOSITION XVI . PROBLEM . . 391 . To inscribe
226 ...
Σελίδα 227
It is required to inscribe in the given O a regular hexagon . ... Then C F is a side of
the regular hexagon required . the A OF C is equilateral , Cons . and equiangular
, § 112 . . the Z ... By bisecting the arcs A B , B C , etc . , a regular polygon of ...
It is required to inscribe in the given O a regular hexagon . ... Then C F is a side of
the regular hexagon required . the A OF C is equilateral , Cons . and equiangular
, § 112 . . the Z ... By bisecting the arcs A B , B C , etc . , a regular polygon of ...
Σελίδα 229
E . . . the arc B C is to of the circumference , and . . the chord B C is a side of a
regular inscribed decagon . Hence ... By bisecting the arcs BC , CF , etc . , a
regular polygon of 20 sides may be inscribed , and , by continuing the process ,
regular ...
E . . . the arc B C is to of the circumference , and . . the chord B C is a side of a
regular inscribed decagon . Hence ... By bisecting the arcs BC , CF , etc . , a
regular polygon of 20 sides may be inscribed , and , by continuing the process ,
regular ...
Σελίδα 230
To inscribe in a given circle a regular pentedecagon , or polygon of fifteen sides .
Let Q be the given circle . It is required to inscribe in Q a regular pentedecagon .
Draw E H equal to a side of a regular inscribed hexagon , § 391 and E F equal ...
To inscribe in a given circle a regular pentedecagon , or polygon of fifteen sides .
Let Q be the given circle . It is required to inscribe in Q a regular pentedecagon .
Draw E H equal to a side of a regular inscribed hexagon , § 391 and E F equal ...
Σελίδα 231
To inscribe in a given circle a regular polygon similar to a given regular polygon .
CDI D VE B A F Let A B C D , etc . , be the given regular polygon , and C ' D ' E '
the given circle . It is required to inscribe in C ' D ' E ' a regular polygon . similar ...
To inscribe in a given circle a regular polygon similar to a given regular polygon .
CDI D VE B A F Let A B C D , etc . , be the given regular polygon , and C ' D ' E '
the given circle . It is required to inscribe in C ' D ' E ' a regular polygon . similar ...
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Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
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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 |