The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected; and Some of Euclid's Demonstrations Restored. Also the Book of Euclid's Data, in Like Manner Corrected |
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Resultat 1-3 av 77
Side 207
it : Therefore GH is perpendicular to AF ; and confequently Book XI AF is perpendicular to GH ; and AF is perpendicular to DE : Therefore AF is perpendicular to each of the straight lines GH , DE . But if a straight line ftands at right ...
it : Therefore GH is perpendicular to AF ; and confequently Book XI AF is perpendicular to GH ; and AF is perpendicular to DE : Therefore AF is perpendicular to each of the straight lines GH , DE . But if a straight line ftands at right ...
Side 209
II . which passes through DE , EF , and let it meet that plane in G ; and through G draw GH parallel to ED , and GK pa- rallel to EF : And because BG is perpendicular to the plane through DE , EF , it fhall 31.
II . which passes through DE , EF , and let it meet that plane in G ; and through G draw GH parallel to ED , and GK pa- rallel to EF : And because BG is perpendicular to the plane through DE , EF , it fhall 31.
Side 212
Book XI . angles to the other plane and any straight line FG in the plane DE , which is at right angles to CE the common section of the planes , has been proved to be perpendicular to the other plane CK ; therefore the plane DE is at ...
Book XI . angles to the other plane and any straight line FG in the plane DE , which is at right angles to CE the common section of the planes , has been proved to be perpendicular to the other plane CK ; therefore the plane DE is at ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of AC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reafon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole