Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 37
... EQUILATERAL . 83. DEF . A Sealene triangle is one of which no two sides are equal . 84. DEF . An Isosceles triangle is one of which two sides are equal . 85. DEF . An Equilateral triangle is one of which the three sides are equal . 86 ...
... EQUILATERAL . 83. DEF . A Sealene triangle is one of which no two sides are equal . 84. DEF . An Isosceles triangle is one of which two sides are equal . 85. DEF . An Equilateral triangle is one of which the three sides are equal . 86 ...
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 . 148. DEF . A Convex polygon is one of which no side , when produced , will enter the surface bounded by ...
... Equilateral polygon is one which has all its sides equal . 147. DEF . An 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 ...
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 138
... equilateral triangle to the sides is equal to the altitude of the triangle . 7. Show that the least chord which can be drawn through a given point within a circle is perpendicular to the diameter drawn through the point . 8. Show that ...
... equilateral triangle to the sides is equal to the altitude of the triangle . 7. Show that the least chord which can be drawn through a given point within a circle is perpendicular to the diameter drawn through the point . 8. Show that ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume