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 48
Side 313
... tho ' fuch a definition was as neceffary and use" ful to be given in that book , as in this : But indeed there is " fcarce ... as this was the proper place for it ; duplicate and triplicate ratio being fpecies of compound ratio .
... tho ' fuch a definition was as neceffary and use" ful to be given in that book , as in this : But indeed there is " fcarce ... as this was the proper place for it ; duplicate and triplicate ratio being fpecies of compound ratio .
Side 367
A ratio is faid to be given , when a ratio of a given magnitude to a given magnitude which is the fame ratio with it can be found . " III . Rectilineal figures are faid to be given in fpecies , which have each of their angles given ...
A ratio is faid to be given , when a ratio of a given magnitude to a given magnitude which is the fame ratio with it can be found . " III . Rectilineal figures are faid to be given in fpecies , which have each of their angles given ...
Side 396
Let each of the fides of the triangle ABC be given in magnitude , the triangle ABC is given in fpecies . A. D Make a triangle a DEF the fides of which are equal , each to each , to the given straight lines AB , BC , CA , which can be ...
Let each of the fides of the triangle ABC be given in magnitude , the triangle ABC is given in fpecies . A. D Make a triangle a DEF the fides of which are equal , each to each , to the given straight lines AB , BC , CA , which can be ...
Side 397
... therefore each of the straight lines DE , EF , FD is given c in magnitude ; wherefore the c 29. dat . triangle DEF is given in fpecies d : and it is fimilar e to the d 42 dat . triangle ABC : which therefore is given in fpecies .
... therefore each of the straight lines DE , EF , FD is given c in magnitude ; wherefore the c 29. dat . triangle DEF is given in fpecies d : and it is fimilar e to the d 42 dat . triangle ABC : which therefore is given in fpecies .
Side 398
I TF the fides of a triangle have to one another given ratios ; the triangle is given in fpecies . Let the fides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . Take a ftraight line D given ...
I TF the fides of a triangle have to one another given ratios ; the triangle is given in fpecies . Let the fides of the triangle ABC have given ratios to one another , the triangle ABC is given in species . Take a ftraight line D given ...
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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 |
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 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