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 CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 11
... drawn from a certain point within the figure to the circum- ference , are equal to one another : Book I. XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a ftraight line drawn through the see N ...
... drawn from a certain point within the figure to the circum- ference , are equal to one another : Book I. XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a ftraight line drawn through the see N ...
Side 15
... draw a ftraight line equal to a given straight line . FR Let A be the given point , and BC the given ftraight line ; it is required to draw from the point A a ftraight line equal to BC . From the point A to B draw the ftraight line AB ...
... draw a ftraight line equal to a given straight line . FR Let A be the given point , and BC the given ftraight line ; it is required to draw from the point A a ftraight line equal to BC . From the point A to B draw the ftraight line AB ...
Side 16
... drawn equal to the given ftraight line BC . Which was to be done . a . 2. I. PROP . III . PROB . ROM the greater of ... draw the ftraight line AD equal to C ; and from the centre A , and at b . 3. Poft . the distance AD , describe the ...
... drawn equal to the given ftraight line BC . Which was to be done . a . 2. I. PROP . III . PROB . ROM the greater of ... draw the ftraight line AD equal to C ; and from the centre A , and at b . 3. Poft . the distance AD , describe the ...
Side 22
... draw a straight line from the point C at right angles to AB . F Take any point D in AC , and a make CE equal to CD , and upon DE describe the equila- teral triangle DFE , and join FC ; the ftraight line FC drawn . from the given point C ...
... draw a straight line from the point C at right angles to AB . F Take any point D in AC , and a make CE equal to CD , and upon DE describe the equila- teral triangle DFE , and join FC ; the ftraight line FC drawn . from the given point C ...
Side 23
... drawn from the given point C , is perpendicular to the given ftraight line AB . e Book I. 10. Def . I. b 3. Poft . C IO . I. 1 . I. e 8. I. Becaufe FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC ...
... drawn from the given point C , is perpendicular to the given ftraight line AB . e Book I. 10. Def . I. b 3. Poft . C IO . I. 1 . I. e 8. I. Becaufe FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore