Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 59
... Diagonal of a quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The diagonal of a parallelogram divides the figure into two equal triangles . B C A E Let ABCE be a parallelogram ...
... Diagonal of a quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The diagonal of a parallelogram divides the figure into two equal triangles . B C A E Let ABCE be a parallelogram ...
Σελίδα 60
... diagonal of a ☐ divides the figure into two equal △ ) . § 133 .. BC = A E , and and = AB CE , ( being homologous sides of equal △ ) . LB LE , ( being homologous & of equal △ ) . = LBAC ZACE , = LEAC LACB , ( being homologous △ of ...
... diagonal of a ☐ divides the figure into two equal △ ) . § 133 .. BC = A E , and and = AB CE , ( being homologous sides of equal △ ) . LB LE , ( being homologous & of equal △ ) . = LBAC ZACE , = LEAC LACB , ( being homologous △ of ...
Σελίδα 62
... the alt . - int . A be equal , the lines are parallel ) . .. the figure A B C E is a □ , ( having its opposite sides parallel ) . $ 125 Q. E. D. PROPOSITION XLII . THEOREM . 138. The diagonals of a 62 · BOOK I. GEOMETRY . -
... the alt . - int . A be equal , the lines are parallel ) . .. the figure A B C E is a □ , ( having its opposite sides parallel ) . $ 125 Q. E. D. PROPOSITION XLII . THEOREM . 138. The diagonals of a 62 · BOOK I. GEOMETRY . -
Σελίδα 63
George Albert Wentworth. PROPOSITION XLII . THEOREM . 138. The diagonals of a parallelogram bisect each other . B C A E Let the figure A B C E be a parallelogram , and let the diagonals AC and BE cut each other at 0 . We are to prove AO ...
George Albert Wentworth. PROPOSITION XLII . THEOREM . 138. The diagonals of a parallelogram bisect each other . B C A E Let the figure A B C E be a parallelogram , and let the diagonals AC and BE cut each other at 0 . We are to prove AO ...
Σελίδα 64
... diagonals A C and BE bisecting each other at 0 . We are to prove LAOE and LAO B rt . 4 . In the AAO E and A O B , = AE AB , ( being sides of a rhombus ) ; § 128 OE = OB , $ 138 ( the diagonals of a bisect each other ) ; AO = AO , Iden ...
... diagonals A C and BE bisecting each other at 0 . We are to prove LAOE and LAO B rt . 4 . In the AAO E and A O B , = AE AB , ( being sides of a rhombus ) ; § 128 OE = OB , $ 138 ( the diagonals of a bisect each other ) ; AO = AO , Iden ...
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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