The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 86
Side 75
... drawn from the given point A. Which was to be done . But if the given point be in the circumference of the circle , as the point D , draw DE to the center E , and DF at right angles to DE ; DF touches the circle . IF PROP . XVIII ...
... drawn from the given point A. Which was to be done . But if the given point be in the circumference of the circle , as the point D , draw DE to the center E , and DF at right angles to DE ; DF touches the circle . IF PROP . XVIII ...
Side 198
... draw b in the plane BH , the straight line DEat right angles to BC ; and from the point A draw AF perpendicular to DE ; and thro ' F draw GH pa- rallel to BC . and becaufe BC is at right angles to ED and DA , BC is at right angles to ...
... draw b in the plane BH , the straight line DEat right angles to BC ; and from the point A draw AF perpendicular to DE ; and thro ' F draw GH pa- rallel to BC . and becaufe BC is at right angles to ED and DA , BC is at right angles to ...
Side 422
... draw EL making the angle FEL equal to the angle CBA , join FL , and draw LM perpendicular to EF . then because the triangles ELF , BAC are equiangular , as also are the tri- angles MLE , DAB , as ML to LE , fo is DA to AB ; and as LE to ...
... draw EL making the angle FEL equal to the angle CBA , join FL , and draw LM perpendicular to EF . then because the triangles ELF , BAC are equiangular , as also are the tri- angles MLE , DAB , as ML to LE , fo is DA to AB ; and as LE to ...
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AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore