Class lessons on Euclid1882 |
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Side 1
... divided into two parts , plane and solid . Plane geometry , which we are now going to study , deals with surfaces , that is with figures having length and breadth only . The Greeks , who may be considered as the educators and thinkers ...
... divided into two parts , plane and solid . Plane geometry , which we are now going to study , deals with surfaces , that is with figures having length and breadth only . The Greeks , who may be considered as the educators and thinkers ...
Side 2
... divided into thirteen books , containing the principles of geometry laid down by Pythagoras , Thales , and other philosophers , collected , systematically arranged , and further developed . To these thirteen books two others are ...
... divided into thirteen books , containing the principles of geometry laid down by Pythagoras , Thales , and other philosophers , collected , systematically arranged , and further developed . To these thirteen books two others are ...
Side 9
... divided into four radii , on each of these draw a square , the resulting figure will be equal to four times the square of the radius , and we shall see that the circle does not quite fill it up ; hence we should expect that the area of ...
... divided into four radii , on each of these draw a square , the resulting figure will be equal to four times the square of the radius , and we shall see that the circle does not quite fill it up ; hence we should expect that the area of ...
Side 19
... divided into three parts ; what do we know about them ? Of the line passing through A we know that DA = DB , since they are sides of the equilateral triangle ; we know nothing as to the length of the other parts . Looking at DF we have ...
... divided into three parts ; what do we know about them ? Of the line passing through A we know that DA = DB , since they are sides of the equilateral triangle ; we know nothing as to the length of the other parts . Looking at DF we have ...
Side 37
... divided by it into two equal triangles , DFX , EFX , for DF = EF ( def . 24 ) . FX is common . Angle DFX = angle EFX ( I. 4 ) . ( Since they are corresponding angles of triangles DFA , EFA , shown to be equal . ) Therefore the bases DX ...
... divided by it into two equal triangles , DFX , EFX , for DF = EF ( def . 24 ) . FX is common . Angle DFX = angle EFX ( I. 4 ) . ( Since they are corresponding angles of triangles DFA , EFA , shown to be equal . ) Therefore the bases DX ...
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Vanlige uttrykk og setninger
&c.-Q.E.D. PROPOSITION ABCD alternate angles angle ABC angle ACB angles are equal angles equal base BC bisected Cheaper Edition circle cons construction Demy 8vo diameter enunciation equal bases equal in area equal sides equal triangles equilateral triangle Euclid exterior Fcap Frontispiece given angle given line given point given straight line given triangle gnomon gram half the line Illustrations interior and opposite interior angles isosceles triangle Join line equal meet opposite angles opposite sides parallelogram perpendicular Poems problem produced proof Prop rectangle contained rhombus right angles right-angled triangle Second Edition sides equal Small crown 8vo square on AC square on half SUMMARY OF PROPOSITION THEOREM Third Edition Translated triangle ABC triangles are equal twice the rect twice the rectangle vertical angle vols Wherefore whole line
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