Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα 38
... EQUIANGULAR . C Д B D 91. DEF . An Equiangular triangle is one which has all the angles equal . 92. DEF . In any triangle , the angle opposite the base is called the Vertical angle , and its vertex is called the Vertex of the triangle ...
... EQUIANGULAR . C Д B D 91. DEF . An Equiangular triangle is one which has all the angles equal . 92. DEF . In any triangle , the angle opposite the base is called the Vertical angle , and its vertex is called the Vertex of the triangle ...
Σελίδα 41
... equiangular triangle , each angle is one third of two right angles , or two thirds of one right angle . PROPOSITION XXII . THEOREM . 105. The exterior angle of a triangle is equal to the sum of the two opposite interior angles . B C H ...
... equiangular triangle , each angle is one third of two right angles , or two thirds of one right angle . PROPOSITION XXII . THEOREM . 105. The exterior angle of a triangle is equal to the sum of the two opposite interior angles . B C H ...
Σελίδα 49
... to a side and an acute of the other ) . .. ABAC , ( 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.
... to a side and an acute of the other ) . .. ABAC , ( 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
... Equiangular polygon is one which has all its angles equal . 148. DEF . A Convex polygon is one of which no side , when produced , will enter the surface bounded by the perimeter . 149. DEF . Each angle of such a polygon is called a ...
... Equiangular polygon is one which has all its angles equal . 148. DEF . A Convex polygon is one of which no side , when produced , will enter the surface bounded by the perimeter . 149. DEF . Each angle of such a polygon is called a ...
Σελίδα 69
... Equiangular , if the angles of the one be equal to the angles of the other , each to each , when taken in the same order ; as the polygons ABC DE F , and A'B'C ' D ' E ' F ' , in which AA ' , B = B ' , ZC = C ' , etc. 154. DEF . The ...
... Equiangular , if the angles of the one be equal to the angles of the other , each to each , when taken in the same order ; as the polygons ABC DE F , and A'B'C ' D ' E ' F ' , in which AA ' , B = B ' , ZC = C ' , etc. 154. DEF . The ...
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A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC 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