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 71
Side 58
And it was demonftrated , that the four CK , BN , GR , and RN are quadruple of CK : Therefore the eight rectangles which contain the gnomon AOH , are qua- druple of AK : And because AK is the rectangle contained by AB , BC , for BK is ...
And it was demonftrated , that the four CK , BN , GR , and RN are quadruple of CK : Therefore the eight rectangles which contain the gnomon AOH , are qua- druple of AK : And because AK is the rectangle contained by AB , BC , for BK is ...
Side 121
Permutando , or alternando , by permutation , or alternately ; this word is ufed when there are four proportionals , and it is See N. inferred , that the first has the fame ratio to the third , which the fecond has to the fourth ...
Permutando , or alternando , by permutation , or alternately ; this word is ufed when there are four proportionals , and it is See N. inferred , that the first has the fame ratio to the third , which the fecond has to the fourth ...
Side 347
And , as in the preceding part , it may be demonstrated that Book XI . the three A , B , M are less than four right angles , as alfo , N that the three C , D , M are lefs than four right angles . Make therefore a a folid angle R P at N.
And , as in the preceding part , it may be demonstrated that Book XI . the three A , B , M are less than four right angles , as alfo , N that the three C , D , M are lefs than four right angles . Make therefore a a folid angle R P at N.
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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