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 are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
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Resultat 1-5 av 100
Side 19
I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the ...
I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the ...
Side 21
AD ; join DE , and upon it describe b an equilateral triangle DEF ; then join AF ; the ftraight line AF bifects the angle BAC . A D Because AD is equal to AE , and AF is common to the two triangles DAF , EAF ; the two fides DA ...
AD ; join DE , and upon it describe b an equilateral triangle DEF ; then join AF ; the ftraight line AF bifects the angle BAC . A D Because AD is equal to AE , and AF is common to the two triangles DAF , EAF ; the two fides DA ...
Side 22
... and join FC ; the ftraight line FC drawn from the given point is at right angles to the given straight line AB . A Ꭰ C с Because DC is equal to CE and FC common to the two triangles DCF , ECF ; the two E B fides DC , CF , are equal ...
... and join FC ; the ftraight line FC drawn from the given point is at right angles to the given straight line AB . A Ꭰ C с Because DC is equal to CE and FC common to the two triangles DCF , ECF ; the two E B fides DC , CF , are equal ...
Side 23
... straight line perpendicular to AB from the point C. C H E Take any point D upon the other fide of AB , and from the centre C , at the diftance CD , defcribe b the circle EGF meeting AB in F A G ; and bifect , c FG in H , and join CF ...
... straight line perpendicular to AB from the point C. C H E Take any point D upon the other fide of AB , and from the centre C , at the diftance CD , defcribe b the circle EGF meeting AB in F A G ; and bifect , c FG in H , and join CF ...
Side 28
... are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater than AB . D Produce BA to the point D , a 3. 1. and make a AD equal to AC ; and join DC . b5 .
... are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater than AB . D Produce BA to the point D , a 3. 1. and make a AD equal to AC ; and join DC . b5 .
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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 |
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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 fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole