The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
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Seite 11
... drawn from a certain point within the figure to the circumference , are equal to one another : Book I. and 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 ...
... drawn from a certain point within the figure to the circumference , are equal to one another : Book I. and 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 ...
Seite 15
... draw the straight lines b CA , CB to the points A , B ; ABC shall be an equilateral triangle . D C Book I. a 3 ... 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 b CA , CB to the points A , B ; ABC shall be an equilateral triangle . D C Book I. a 3 ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
Seite 16
... drawn equal to the given straight line BC . Which was to be done . a 2. 1 . PROP . III . PROB . FROM the greater of ... draw a the straight line AD equal to C ; and from the centre A , and at the dis- b 3. Post . tance AD , describe the ...
... drawn equal to the given straight line BC . Which was to be done . a 2. 1 . PROP . III . PROB . FROM the greater of ... draw a the straight line AD equal to C ; and from the centre A , and at the dis- b 3. Post . tance AD , describe the ...
Seite 22
... draw a straight line from the point C at right angles to AB . 23. 1 . b 1. 1 . 8. 1 . F Take any point D in AC , and a make CE equal to CD , and upon DE describe b 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 . 23. 1 . b 1. 1 . 8. 1 . F Take any point D in AC , and a make CE equal to CD , and upon DE describe b the equi- lateral triangle DFE , and join FC ; the straight line FC drawn ...
Seite 23
... drawn from the given point C , to the given straight line AB . is perpendi Because qual to HG , and HC common to the two e tri- Book I. - a 10. Def . 1 . b 3. Post . c 10. 1 . angles FHC , e two sides FH , HC are equal to the two GH ...
... drawn from the given point C , to the given straight line AB . is perpendi Because qual to HG , and HC common to the two e tri- Book I. - a 10. Def . 1 . b 3. Post . c 10. 1 . angles FHC , e two sides FH , HC are equal to the two GH ...
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple 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 remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore