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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
Dentro del libro
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Página 11
... drawn from a certain point within the figure to the circumference , 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 straight line drawn through the cen tre ...
... drawn from a certain point within the figure to the circumference , 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 straight line drawn through the cen tre ...
Página 15
... draw a straight line equal to a given ftraight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . From the point A to B draw a the ftraight line AB ...
... draw a straight line equal to a given ftraight line . Let A be the given point , and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . From the point A to B draw a the ftraight line AB ...
Página 16
... drawn equal to the given ftraight line BC . Which was to be done . 8. 2. I. PROP . III . PRO B. ' ROM the greater of ... draw a the ftraight line AD equal to C ; and from the centre A , and at the dif b . 3. Poft . tance AD , defcribe b ...
... drawn equal to the given ftraight line BC . Which was to be done . 8. 2. I. PROP . III . PRO B. ' ROM the greater of ... draw a the ftraight line AD equal to C ; and from the centre A , and at the dif b . 3. Poft . tance AD , defcribe b ...
Página 22
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and a make CE equal to CD , and upon DE defcribe b the equi- lateral 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 . Take any point D in AC , and a make CE equal to CD , and upon DE defcribe b the equi- lateral triangle DFE , and join FC ; the ftraight line FC drawn from the given point C ...
Página 23
... drawn from the given point C , is perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC are equal to the two GH , HC , each to each ; and the bafe ...
... drawn from the given point C , is perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two fides FH , HC are equal to the two GH , HC , each to each ; and the bafe ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore 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 muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore