The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 6
... given straight line : it is required to describe an equilateral triangle upon AB . From the centre A , at the distance AB , describe the circle BCD ( Postulate 3 ) , and from the centre B , at the distance BA , describe the circle ACE ...
... given straight line : it is required to describe an equilateral triangle upon AB . From the centre A , at the distance AB , describe the circle BCD ( Postulate 3 ) , and from the centre B , at the distance BA , describe the circle ACE ...
Página 7
... circle CGH , and from the centre D , at the distance DG , describe the circle GKL : AL shall be equal to BC ... given point A a straight line AL has been drawn equal to the given straight line BC . Q. E. F. PROP . III . PROB . From the ...
... circle CGH , and from the centre D , at the distance DG , describe the circle GKL : AL shall be equal to BC ... given point A a straight line AL has been drawn equal to the given straight line BC . Q. E. F. PROP . III . PROB . From the ...
Página 16
... circle EGF meeting AB in F , G ; bisect FG at H ( 1.10 ) , E B D and join CF , CH , CG : the straight line CH is drawn from the given point C perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the ...
... circle EGF meeting AB in F , G ; bisect FG at H ( 1.10 ) , E B D and join CF , CH , CG : the straight line CH is drawn from the given point C perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the ...
Página 23
... given straight lines , but any two whatever of these must be greater than the third ( 1. 20 ) . Let A , B , C be the ... circle DKL , and from the centre G , at the distance GH , describe the circle HLK , and join KF , KG : the triangle ...
... given straight lines , but any two whatever of these must be greater than the third ( 1. 20 ) . Let A , B , C be the ... circle DKL , and from the centre G , at the distance GH , describe the circle HLK , and join KF , KG : the triangle ...
Página 52
... given line describe an isosceles triangle , each of whose equal sides shall be double of the base . 2. If two circles cut each other , the line joining their points of intersection is bisected at right angles by the line joining their ...
... given line describe an isosceles triangle , each of whose equal sides shall be double of the base . 2. If two circles cut each other , the line joining their points of intersection is bisected at right angles by the line joining their ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore