Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα 37
... EQUILATERAL . 83. DEF . A Scalene triangle is one of which no two sides are equal . 84. DEF . An Isosceles triangle is one of which two sides are equal .し ते 85. DEF . An Equilateral triangle is one of which the three sides are equal ...
... EQUILATERAL . 83. DEF . A Scalene triangle is one of which no two sides are equal . 84. DEF . An Isosceles triangle is one of which two sides are equal .し ते 85. DEF . An Equilateral triangle is one of which the three sides are equal ...
Σελίδα 49
... a side and an acute of the other ) . .. AB = A C , ( being homologous sides of equal △ ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI . THEOREM . 115. If two triangles have TRIANGLES . 49.
... a side and an acute of the other ) . .. AB = A C , ( being homologous sides of equal △ ) . Q. E. D. Ex . Show that an equiangular triangle is also equilateral . PROPOSITION XXXI . THEOREM . 115. If two triangles have TRIANGLES . 49.
Σελίδα 68
... Equilateral polygon is one which has all its sides equal . 147. DEF . An Equiangular polygon is one which has all its angles equal . at , togel berning ) 148. DEF . A Convex polygon is one of which no side , when produced , will enter ...
... Equilateral polygon is one which has all its sides equal . 147. DEF . An Equiangular polygon is one which has all its angles equal . at , togel berning ) 148. DEF . A Convex polygon is one of which no side , when produced , will enter ...
Σελίδα 69
... equilateral without being mutually equiangular ; as Figs . 3 and 4 . If two polygons be mutually equilateral and equiangular , they are equal , for they may be applied the one to the other so as to coincide . 156. DEF . A polygon of ...
... equilateral without being mutually equiangular ; as Figs . 3 and 4 . If two polygons be mutually equilateral and equiangular , they are equal , for they may be applied the one to the other so as to coincide . 156. DEF . A polygon of ...
Σελίδα 210
... equilateral and equiangular . PROPOSITION I. THEOREM . 364. Every equilateral polygon inscribed in a circle is a regular polygon . C D B Let ABC , etc. , be an equilateral polygon inscribed in a circle . We are to prove the polygon ...
... equilateral and equiangular . PROPOSITION I. THEOREM . 364. Every equilateral polygon inscribed in a circle is a regular polygon . C D B Let ABC , etc. , be an equilateral polygon inscribed in a circle . We are to prove the polygon ...
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A B C AABC AACB ABCD acute adjacent angles alt.-int altitude apothem arc A B BC² bisect centre chord A B circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices