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 87
Side 77
Therefore the straight line which joins the points F , G cannot fall otherwife than upon the point A , that is , it must pass ... let it pafs otherwife , if poffible , as FCDG , and join Book III . join FA , AG : And because OF EUCLID .
Therefore the straight line which joins the points F , G cannot fall otherwife than upon the point A , that is , it must pass ... let it pafs otherwife , if poffible , as FCDG , and join Book III . join FA , AG : And because OF EUCLID .
Side 92
Take a K , L the centres of the circles , and join BK , KC , EL , LF : And because the circumference BGC is equal to the A D K L B CE F G H b27.3 . € 4. I. circumference EHF , the angle BKC is equal b to the angle ELF : And because the ...
Take a K , L the centres of the circles , and join BK , KC , EL , LF : And because the circumference BGC is equal to the A D K L B CE F G H b27.3 . € 4. I. circumference EHF , the angle BKC is equal b to the angle ELF : And because the ...
Side 494
pass through E the centre of the sphere : Join DE , DA , DC : By def . 1. DA , DC are equal , and AE , EC are alfo equal , and DE is common ; therefore ( 8. 1. ) the angles DEA , DEC are equal ; wherefore the arches DA , DC are equal ...
pass through E the centre of the sphere : Join DE , DA , DC : By def . 1. DA , DC are equal , and AE , EC are alfo equal , and DE is common ; therefore ( 8. 1. ) the angles DEA , DEC are equal ; wherefore the arches DA , DC are equal ...
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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