First Steps in Geometry: A Series of Hints for the Solution of Geometrical Problems with Notes on Euclid, Useful Working Propositions and Many ExamplesLongmans, Green, and Company, 1887 - 180 sider |
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Resultat 1-5 av 19
Side 7
... about 60 ° , and the angle C one of about 45 ° . When a quad- rilateral figure is not necessarily either a parallelogram or a trapezium , it is well to construct it of such a figure as ABCD ( Fig . 5 ) , in CONSTRUCTION . 7.
... about 60 ° , and the angle C one of about 45 ° . When a quad- rilateral figure is not necessarily either a parallelogram or a trapezium , it is well to construct it of such a figure as ABCD ( Fig . 5 ) , in CONSTRUCTION . 7.
Side 76
... parallelogram . This is obviously true ; for , having AB ( Fig . 41 ) equal to DC and A D equal to BC , also the base B D common , we have the angle BAD equal to the angle B CD ( Euc . I. , 8 ) , and the triangles B AD , B C D equal in ...
... parallelogram . This is obviously true ; for , having AB ( Fig . 41 ) equal to DC and A D equal to BC , also the base B D common , we have the angle BAD equal to the angle B CD ( Euc . I. , 8 ) , and the triangles B AD , B C D equal in ...
Side 77
... parallelogram . B FIG . 42 . Euc . I. , 35 and 36. - Each of these propositions has a converse which may be ... parallelogram A B C D and E KF parallel to the other two sides , in such a manner that the parallelo- gram HF is equal to E G ...
... parallelogram . B FIG . 42 . Euc . I. , 35 and 36. - Each of these propositions has a converse which may be ... parallelogram A B C D and E KF parallel to the other two sides , in such a manner that the parallelo- gram HF is equal to E G ...
Side 94
... parallelogram bisect each other . FIG . 56 . 8 Let A C , BD , the diagonals of the parallelogram A B CD , intersect in E. to E C , and D E to EB . Then shall A E be equal In the triangles AED , BE C , the vertical angles A ED , BEC are ...
... parallelogram bisect each other . FIG . 56 . 8 Let A C , BD , the diagonals of the parallelogram A B CD , intersect in E. to E C , and D E to EB . Then shall A E be equal In the triangles AED , BE C , the vertical angles A ED , BEC are ...
Side 99
... parallelogram . Therefore BG is equal and parallel to A F - that is , to FC . Therefore ( Euc . I. , 33 ) G F is equal and parallel to BC . But G F is double of E FIG . 59 . DF ( const . ) and B C of EC ( hyp . ) ; therefore D F is ...
... parallelogram . Therefore BG is equal and parallel to A F - that is , to FC . Therefore ( Euc . I. , 33 ) G F is equal and parallel to BC . But G F is double of E FIG . 59 . DF ( const . ) and B C of EC ( hyp . ) ; therefore D F is ...
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Vanlige uttrykk og setninger
A B C D A B is equal ABCD angle ABC angle BA angle equal base bisector bisects the angle circle diagonals equal and parallel equal angles equal sides equal to DC equal to half equal to twice Euclid exterior angles given angle given line given point given straight line greater Hence hypotenuse intersect isosceles triangle KHGE lines bisecting lines drawn locus maxima and minima obtuse opposite sides parallelogram perpendicular point F problem produced proof Prop proposition quadrilateral R. A. PROCTOR rect rectangle A C rectangle contained respects Euc rhombus right angles right-angled triangle sides A B solution square on CD squares on A C straight line A B theorems trapezium triangle ABC twice the rectangle vertex vertical angle
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