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 6
... for thefe Reasons , been infufficiently demonftrated fince Theon's time hitherto . Befides , there are feveral other things , which have nothing of Euclid's accuracy , and which plainly fhew , that his Elements have been much ...
... for thefe Reasons , been infufficiently demonftrated fince Theon's time hitherto . Befides , there are feveral other things , which have nothing of Euclid's accuracy , and which plainly fhew , that his Elements have been much ...
Side 29
Again , because the exterior angle of a triangle is greater than the interior and oppofite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is ...
Again , because the exterior angle of a triangle is greater than the interior and oppofite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is ...
Side 45
... and AC its diameter , the triangle ABC is equal a to the triangle ADC ; And , a 34 . because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equal to the triangle AHK : By the fame reason , the triangle ...
... and AC its diameter , the triangle ABC is equal a to the triangle ADC ; And , a 34 . because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equal to the triangle AHK : By the fame reason , the triangle ...
Side 57
... that CB is equal a to GK , and BD to KN ; therefore GK is a 34. 1 . equal с equal to KN : For the fame reason , OF EUCLID . 57.
... that CB is equal a to GK , and BD to KN ; therefore GK is a 34. 1 . equal с equal to KN : For the fame reason , OF EUCLID . 57.
Side 58
с equal to KN : For the fame reason , PR is equal to RO ; and because CB is equal to BD , and GK to KN , the rectangle CK is equalb to BN , and GR to RN : But CK is equal to RN , because they are the complements of the parallelogram CO ...
с equal to KN : For the fame reason , PR is equal to RO ; and because CB is equal to BD , and GK to KN , the rectangle CK is equalb to BN , and GR to RN : But CK is equal to RN , because they are the complements of the parallelogram CO ...
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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