Geometry for schools, comprising books i. and ii. of Euclid, with some additions and numerous exercises, by A.J.G. BarclayOliver & Boyd, 1883 - 96 sider |
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Resultat 6-10 av 28
Side 20
... common , FE ( Def . 17 ) , : . Δ DCF = E and FD △ ECF ( I. 8 ) , and .. △ DCF ECF , and these are adjacent angles . But when a straight line standing on another straight line makes the adjacent angles equal to one another , each of ...
... common , FE ( Def . 17 ) , : . Δ DCF = E and FD △ ECF ( I. 8 ) , and .. △ DCF ECF , and these are adjacent angles . But when a straight line standing on another straight line makes the adjacent angles equal to one another , each of ...
Side 21
... common , and CE = CD ( Def . 11 ) , .. ^ EHC = ^ DHC ( I. 8 ) , and .. EHC- and these are adjacent angles . = △ DHC , .. CH is AB ( Def . 7 ) , and is drawn from the given point C. Q.E.F. 23. If the given line could not be produced ...
... common , and CE = CD ( Def . 11 ) , .. ^ EHC = ^ DHC ( I. 8 ) , and .. EHC- and these are adjacent angles . = △ DHC , .. CH is AB ( Def . 7 ) , and is drawn from the given point C. Q.E.F. 23. If the given line could not be produced ...
Side 24
... common angle AED , .4 AEC : △ DEB ( Ax . 3 ) . = Similarly , AED = CEB . Q.E.D. Another proof of this proposition may be given as follows : - - Let the line AE be made to revolve round the point E into the position of CE , then EB will ...
... common angle AED , .4 AEC : △ DEB ( Ax . 3 ) . = Similarly , AED = CEB . Q.E.D. Another proof of this proposition may be given as follows : - - Let the line AE be made to revolve round the point E into the position of CE , then EB will ...
Side 31
... = DG , DH is common , and EDH ( cons . ) , .. EH = HG ( I. 4 ) . To each add HF . == GDH .. EH + HF FG , but EH + HF > EF ( I. 20 ) . .. FG , i.e. , BC > EF . Q.E.D. PROP . 25. THEOR . If two triangles have two 32 32 GEOMETRY .
... = DG , DH is common , and EDH ( cons . ) , .. EH = HG ( I. 4 ) . To each add HF . == GDH .. EH + HF FG , but EH + HF > EF ( I. 20 ) . .. FG , i.e. , BC > EF . Q.E.D. PROP . 25. THEOR . If two triangles have two 32 32 GEOMETRY .
Side 31
... common angle BFG , and there remains FGD , and these are alternate angles ; .. AB || CD ( I. 27 ) . Q.E.D. 65. Perpendiculars to the same line are parallel to one another . 66. Every rectangular four - sided figure has its opposite ...
... common angle BFG , and there remains FGD , and these are alternate angles ; .. AB || CD ( I. 27 ) . Q.E.D. 65. Perpendiculars to the same line are parallel to one another . 66. Every rectangular four - sided figure has its opposite ...
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Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning tilgjengelig - 2019 |
Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
AC² angle contained angles equal angular points Atlas base BC BC² bisect Boyd's School Carefully Revised centre Coloured Maps cons construct a triangle diagonals Dr Douglas's Dr Reid's Edinburgh Academy Euclid Exercises exterior angle figure has sides find a point four right angles full-coloured Maps George Watson's College given line given point given straight line given triangle hypotenuse interior isosceles triangle late Head Master Lawson's LL.D middle points Modern Geography Oliver and Boyd's opposite angles opposite sides Outline of Sacred parallelogram perpendicular Physical Geography point in CD polygon produced PROP proposition prove quadrilateral Questions for Examination rect rectangle contained reflex angle regular polygon Reid's Elements rhombus right-angled triangle Rudiments of Modern Sacred Geography showing Recent sides equal square St Mark's College Text-Book THEOR trapezium triangles ABC vertex WILLIAM LAWSON
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