The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Euclides. • IX . A plane rectilineal angle is the inclination of two straight lines ... lines that contain the angle meet one another , is put between the other two ... drawn from a certain point within the figure to the circumference , are ...
Euclides. • IX . A plane rectilineal angle is the inclination of two straight lines ... lines that contain the angle meet one another , is put between the other two ... drawn from a certain point within the figure to the circumference , are ...
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... drawn through the centre , and terminated both ways by the cir- cumference . xvII . A semicircle is the figure ... lines : XXI . Trilateral figures , or triangles , by three straight lines : XXII . Quadrilateral , by four straight lines ...
... drawn through the centre , and terminated both ways by the cir- cumference . xvII . A semicircle is the figure ... lines : XXI . Trilateral figures , or triangles , by three straight lines : XXII . Quadrilateral , by four straight lines ...
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... 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 line may be drawn from any one point to any other point : II . That a terminated ...
... 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 line may be drawn from any one point to any other point : II . That a terminated ...
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... lines DA , DB , to E and F ( Post . 2 ) ; from the centre B , at the distance BC , describe the circle CGH , and ... drawn equal to the given straight line BC . Q. E. F. PROP . III . PROB . From the greater of two given straight lines to ...
... lines DA , DB , to E and F ( Post . 2 ) ; from the centre B , at the distance BC , describe the circle CGH , and ... drawn equal to the given straight line BC . Q. E. F. PROP . III . PROB . From the greater of two given straight lines to ...
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... drawn at right angles to AB . Q. E. F. COR . By the help of this problem , it may be demon- strated that two straight lines cannot have a common segment . If it be possible , let the two straight lines ABC , ABD have the segment AB ...
... drawn at right angles to AB . Q. E. F. COR . By the help of this problem , it may be demon- strated that two straight lines cannot have a common segment . If it be possible , let the two straight lines ABC , ABD have the segment AB ...
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