Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 9
... included between two straight lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line AB meet the straight line CD so that the adjacent ...
... included between two straight lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line AB meet the straight line CD so that the adjacent ...
Σελίδα 19
... included by them . C E A B Let CA and C B be two lines drawn from the point C to the extremities of the straight line A B. Let O A and O B be two lines similarly drawn , but included by CA and C B. We are to prove CA + CB > O A + 0 B ...
... included by them . C E A B Let CA and C B be two lines drawn from the point C to the extremities of the straight line A B. Let O A and O B be two lines similarly drawn , but included by CA and C B. We are to prove CA + CB > O A + 0 B ...
Σελίδα 20
... included by them ) ; .. 2 CH 2 CK ; ..CH > C K. Q. E. D. 56. COROLLARY . Only two equal straight lines can be drawn from a point to a straight line ; and of two unequal lines , the greater cuts off the greater distance from the foot of ...
... included by them ) ; .. 2 CH 2 CK ; ..CH > C K. Q. E. D. 56. COROLLARY . Only two equal straight lines can be drawn from a point to a straight line ; and of two unequal lines , the greater cuts off the greater distance from the foot of ...
Σελίδα 42
... included angle of the one are equal respectively to two sides and the included angle of the other . C C ' A B A B ' In the triangles A B C and A'B'C ' , let A B A ' B ' , A CA ' C ' , A = 2 A ' . We are to " prove AABC = A A'B ' C ...
... included angle of the one are equal respectively to two sides and the included angle of the other . C C ' A B A B ' In the triangles A B C and A'B'C ' , let A B A ' B ' , A CA ' C ' , A = 2 A ' . We are to " prove AABC = A A'B ' C ...
Σελίδα 47
... included respectively to two sides and the included ..ZA = ZB , ( being homologous & of equal △ ) . Hyp . Iden . Cons . § 106 of the one are equal of the other ) . Q. E. D. Ex . If the equal sides of an isosceles triangle be produced ...
... included respectively to two sides and the included ..ZA = ZB , ( being homologous & of equal △ ) . Hyp . Iden . Cons . § 106 of the one are equal of the other ) . Q. E. D. Ex . If the equal sides of an isosceles triangle be produced ...
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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