The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Euclides. N.B. In the EXERCISES , the name trapezium will be restricted to a quadrilateral that has two of its opposite sides parallel . THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I.
Euclides. N.B. In the EXERCISES , the name trapezium will be restricted to a quadrilateral that has two of its opposite sides parallel . THE ELEMENTS OF EUCLID . BOOK I. DEFINITIONS . I.
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... 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 line may be drawn from any one point to any other point : II ...
... 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 line may be drawn from any one point to any other point : II ...
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... parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate angles AEF , EFD equal to one another : AB is parallel to CD . F D G For , if it be not parallel , AB and CD , being produced ...
... parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate angles AEF , EFD equal to one another : AB is parallel to CD . F D G For , if it be not parallel , AB and CD , being produced ...
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... parallel to one another : Therefore AB is parallel to CD . Wherefore , If a straight line , & c . Q. E. D. PROP . XXVIII . THEOR . If a straight line , falling upon two other straight lines , makes the exterior angle equal to the ...
... parallel to one another : Therefore AB is parallel to CD . Wherefore , If a straight line , & c . Q. E. D. PROP . XXVIII . THEOR . If a straight line , falling upon two other straight lines , makes the exterior angle equal to the ...
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... parallel straight lines AB , CD : it makes the alternate angles AGH , GHD equal to one another , and the exterior angle EGB equal to the interior and opposite upon the same side A GHD , and the two interior angles upon the same side BGH ...
... parallel straight lines AB , CD : it makes the alternate angles AGH , GHD equal to one another , and the exterior angle EGB equal to the interior and opposite upon the same side A GHD , and the two interior angles upon the same side BGH ...
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