The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 3
... four straight lines : xx . Multilateral figures , or polygons , by more than four straight lines . Of three - sided figures , XXIV . An equilateral triangle is that which has three equal sides : XXV . An isosceles triangle is that which ...
... four straight lines : xx . Multilateral figures , or polygons , by more than four straight lines . Of three - sided figures , XXIV . An equilateral triangle is that which has three equal sides : XXV . An isosceles triangle is that which ...
Página 4
... four - sided figures besides these are called trapeziums . xxxv . Parallel straight lines are such as are in the same plane , and , being produced ever so far both ways , do not meet . POSTULATES . Let it be granted , 1. That a straight ...
... four - sided figures besides these are called trapeziums . xxxv . Parallel straight lines are such as are in the same plane , and , being produced ever so far both ways , do not meet . POSTULATES . Let it be granted , 1. That a straight ...
Página 19
... four right angles : COR . 2. And , consequently , that all the angles , made by any number of lines meeting at one point , are to- gether equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the ...
... four right angles : COR . 2. And , consequently , that all the angles , made by any number of lines meeting at one point , are to- gether equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the ...
Página 33
... four right angles ( 1. 15 , Cor . 2 ) : Wherefore all the angles of the figure , together with four right angles , are equal to twice as many right angles as the figure has sides . COR . 2. All the exterior angles of any rectilineal ...
... four right angles ( 1. 15 , Cor . 2 ) : Wherefore all the angles of the figure , together with four right angles , are equal to twice as many right angles as the figure has sides . COR . 2. All the exterior angles of any rectilineal ...
Página 34
... four - sided figure , of which the oppo- site sides are parallel ; and the diameter , or diagonal , is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is 34 EUCLID'S ELEMENTS .
... four - sided figure , of which the oppo- site sides are parallel ; and the diameter , or diagonal , is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is 34 EUCLID'S ELEMENTS .
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