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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Side 51
K IF F there be two ftraight lines , one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines , is equal to the rectangles contained by the undivided line , and the feveral parts of the ...
K IF F there be two ftraight lines , one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines , is equal to the rectangles contained by the undivided line , and the feveral parts of the ...
Side 52
I. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D , E ; the rectangle contained by the ftraight lines A , BC is equal to the rectangle contaired by A , BD , together with that contained by A ...
I. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D , E ; the rectangle contained by the ftraight lines A , BC is equal to the rectangle contaired by A , BD , together with that contained by A ...
Side 53
71-88-203 店 B WOW AC ; for it is contained by DA , AC , of which AD is equal to AB ; and CE is contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal ...
71-88-203 店 B WOW AC ; for it is contained by DA , AC , of which AD is equal to AB ; and CE is contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal ...
Side 54
... and because the complement AG is equal g to the complement GE , and that AG is the rectangle contained by AC , CB , for GC is equal to CB ; therefore GE is alfo equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice ...
... and because the complement AG is equal g to the complement GE , and that AG is the rectangle contained by AC , CB , for GC is equal to CB ; therefore GE is alfo equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice ...
Side 55
IF F a straight line be divided into two equal parts , and alfo into two unequal parts ; the rectangle contained by the unequal parts , together with the fquare of the line between the points of fection , is equal to the fquare of half ...
IF F a straight line be divided into two equal parts , and alfo into two unequal parts ; the rectangle contained by the unequal parts , together with the fquare of the line between the points of fection , is equal to the fquare of half ...
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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