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 5
That , excepting a very few " Interpolations , Explications , and Additions , Theon altered " nothing in Euclid . " But , by often confidering and comparing together the Definitions and Demonftrations as they are in the Greek Editions ...
That , excepting a very few " Interpolations , Explications , and Additions , Theon altered " nothing in Euclid . " But , by often confidering and comparing together the Definitions and Demonftrations as they are in the Greek Editions ...
Side 82
And this is all that is to be understood , when , in the Greek text and translations from it , the angle of ⚫ the femicircle is faid to be greater than any acute rectilineal ' angle , and the remaining angle lefs than any rectilineal ...
And this is all that is to be understood , when , in the Greek text and translations from it , the angle of ⚫ the femicircle is faid to be greater than any acute rectilineal ' angle , and the remaining angle lefs than any rectilineal ...
Side 93
... of the lefs fegment ADC falls within the right angle CAF . And this is all that is meant , when in the • Greek Book III . Greek text , and the translations from OF EUCLID . 93.
... of the lefs fegment ADC falls within the right angle CAF . And this is all that is meant , when in the • Greek Book III . Greek text , and the translations from OF EUCLID . 93.
Side 94
Greek text , and the translations from it , the angle of the greater fegment is faid to be greater , and the angle of the less a II . I. 19.3 . 31. 3 . d 32. 1 . € 22. 3 . 6 " fegment is faid to be less , than a right angle . ' COR .
Greek text , and the translations from it , the angle of the greater fegment is faid to be greater , and the angle of the less a II . I. 19.3 . 31. 3 . d 32. 1 . € 22. 3 . 6 " fegment is faid to be less , than a right angle . ' COR .
Side 273
... greater than half of the fegment of the L N A T D K B V C Y F S H M F } X 17 Z R G P I * Vertex is put in place of altitude which is in the Greek , because the pyra . mid , in what follow , is supposed to be circumscribed about the ...
... greater than half of the fegment of the L N A T D K B V C Y F S H M F } X 17 Z R G P I * Vertex is put in place of altitude which is in the Greek , because the pyra . mid , in what follow , is supposed to be circumscribed about the ...
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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