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 CorrectedDesilver & Thomas, 1834 - 419 sider |
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Side 12
... draw the straight lines ( 2. Post . ) CA , CB to the points A , B ; ABC shall be an equilateral triangle . C B ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... draw the straight lines ( 2. Post . ) CA , CB to the points A , B ; ABC shall be an equilateral triangle . C B ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
Side 13
... drawn equal to the given straight line BC . Which was to be done . PROP III . PROB . FROM the greater of two given ... draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the dis- tance AD , describe ( 3. Post ...
... drawn equal to the given straight line BC . Which was to be done . PROP III . PROB . FROM the greater of two given ... draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the dis- tance AD , describe ( 3. Post ...
Side 18
... draw a straight line from the point C at right angles to AB . * F Take any point D in AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equi- lateral triangle , DFE , and join FC ; the straight line FC drawn ...
... draw a straight line from the point C at right angles to AB . * F Take any point D in AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equi- lateral triangle , DFE , and join FC ; the straight line FC drawn ...
Side 19
... 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 tri- angles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; and the ...
... 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 tri- angles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; and the ...
Side 23
... drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the tri- angle , but shall contain a greater angle . * Let the two straight lines BD , CD be drawn from B , C , the ends of the ...
... drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the tri- angle , but shall contain a greater angle . * Let the two straight lines BD , CD be drawn from B , C , the ends of the ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC multiple opposite parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore