The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 38
Página 5
... falls upon two straight lines , so as to make the two interior angles on the same side of it together less than two right angles , these straight lines , being continually produced , shall at length meet , upon that side on which are ...
... falls upon two straight lines , so as to make the two interior angles on the same side of it together less than two right angles , these straight lines , being continually produced , shall at length meet , upon that side on which are ...
Página 28
... falling upon two other straight lines , makes the alternate angles equal to one another , these two straight lines shall be parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate ...
... falling upon two other straight lines , makes the alternate angles equal to one another , these two straight lines shall be parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate ...
Página 29
... falling upon two other straight lines , makes the exterior angle equal to the interior and opposite upon the same ... falls upon the two straight lines AB , CD , make the exterior angle EGB equal to the interior and opposite angle GHD ...
... falling upon two other straight lines , makes the exterior angle equal to the interior and opposite upon the same ... falls upon the two straight lines AB , CD , make the exterior angle EGB equal to the interior and opposite angle GHD ...
Página 30
... fall upon the parallel straight lines AB , CD : it makes the alternate angles AGH , GHD equal to one another , and ... falls upon two straight lines , so as to make the two interior augles on the same side of it together less than two ...
... fall upon the parallel straight lines AB , CD : it makes the alternate angles AGH , GHD equal to one another , and ... falls upon two straight lines , so as to make the two interior augles on the same side of it together less than two ...
Página 31
... In BC take any point D , and join AD ; and at the point A , in the straight line AD , make the angle DAE equal to the angle ADC ; and produce the straight line EA to F. B D Because the straight line AD , falling upon the two BOOK I. 31.
... In BC take any point D , and join AD ; and at the point A , in the straight line AD , make the angle DAE equal to the angle ADC ; and produce the straight line EA to F. B D Because the straight line AD , falling upon the two BOOK I. 31.
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