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 15
From the centre A , at the diftance AB , defcribe a the circle BCD , and from the centre , B , at the distance BA , defcribe the circle ACE ; and from the point D A C , in which the circles cut one another , draw the straight linesb CA ...
From the centre A , at the diftance AB , defcribe a the circle BCD , and from the centre , B , at the distance BA , defcribe the circle ACE ; and from the point D A C , in which the circles cut one another , draw the straight linesb CA ...
Side 16
Wherefore from the given point A a straight line AL has been drawn equal to the given ftraight line BC . Which was to be done . From the point A draw a the straight line AD equal to C ; and from the centre A , and at the difb . 3.
Wherefore from the given point A a straight line AL has been drawn equal to the given ftraight line BC . Which was to be done . From the point A draw a the straight line AD equal to C ; and from the centre A , and at the difb . 3.
Side 22
Tur O draw a straight line at right angles to a given straight line , from a given point in the fame . See N. Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right ...
Tur O draw a straight line at right angles to a given straight line , from a given point in the fame . See N. Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right ...
Side 23
T O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced any length both ways , and let C be a point without it .
T O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced any length both ways , and let C be a point without it .
Side 24
1o . right a angle ; but , if not , from the point B draw BE at right b II . I. angies to CD ; therefore the angles CBE , EBD are two night angles a ; and becaufe CBE is equal to the two angles CBA , ABE together , add the angle EBD to ...
1o . right a angle ; but , if not , from the point B draw BE at right b II . I. angies to CD ; therefore the angles CBE , EBD are two night angles a ; and becaufe CBE is equal to the two angles CBA , ABE together , add the angle EBD to ...
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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 |
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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