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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Resultat 1-5 av 66
Side 68
A fegment of a circle is the figure contained by a ftraight line and the circumference it cuts off . ... point D draw b DC at right angles to AB , and produce it to E , and bifect CE in F : The point F is the centre of the circle ABC .
A fegment of a circle is the figure contained by a ftraight line and the circumference it cuts off . ... point D draw b DC at right angles to AB , and produce it to E , and bifect CE in F : The point F is the centre of the circle ABC .
Side 69
F any two points be taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the ftraight line drawn from A to B ...
F any two points be taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the ftraight line drawn from A to B ...
Side 71
F in a circle two ftraight lines cut one another which do not both pass through the centre , they do not bifect each other . IF Let ABCD be a circle , and AC , BD two ftraight lines in it which cut one another in the point E , and do ...
F in a circle two ftraight lines cut one another which do not both pass through the centre , they do not bifect each other . IF Let ABCD be a circle , and AC , BD two ftraight lines in it which cut one another in the point E , and do ...
Side 72
For , if it be poffible , let E be their centre : Join EC , and draw any straight line EFG meeting them in F and G : and because E is the centre of the circle ABC , CE is equal to EF : Again , becanfe E is the centre of the circle A CDG ...
For , if it be poffible , let E be their centre : Join EC , and draw any straight line EFG meeting them in F and G : and because E is the centre of the circle ABC , CE is equal to EF : Again , becanfe E is the centre of the circle A CDG ...
Side 73
E Let ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the ftraight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the ...
E Let ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the ftraight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is 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 |
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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