Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 17.
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 △ ) . and .. BC = AE , = AB CE , ( being homologous sides of equal △ ) . LB = LE , ( being homologous of equal △ ) . = LBAC LACE ,. and LEAC 1 LACB , ( being homologous △ of equal ...
... diagonal of a divides the figure into two equal △ ) . and .. BC = AE , = AB CE , ( being homologous sides of equal △ ) . LB = LE , ( being homologous of equal △ ) . = LBAC LACE ,. and LEAC 1 LACB , ( being homologous △ of equal ...
Σελίδα 62
... the alt . - int . & 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 . & 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 AO OC , and BO ...
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 AO OC , and BO ...
Σελίδα 64
... diagonals AC and BE bisecting each other at 0 . We are to prove ZAOE and LA O B rt . . In the AAO E and A O B , AE = A B , ( being sides of a rhombus ) ; § 128 OE = OB , $ 138 ( the diagonals of a bisect each other ) ; AO = AO , Iden ...
... diagonals AC and BE bisecting each other at 0 . We are to prove ZAOE and LA O B rt . . In the AAO E and A O B , AE = A B , ( being sides of a rhombus ) ; § 128 OE = OB , $ 138 ( the diagonals of a bisect each other ) ; AO = AO , Iden ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.