Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
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Side 25
2 B The straight lines which join the extremities of two equal and parallel straight
lines , towards the same parts , are also themselves equal and parallel . Let AB ,
CD , be equal and parallel straight lines , and joined towards the same parts by ...
2 B The straight lines which join the extremities of two equal and parallel straight
lines , towards the same parts , are also themselves equal and parallel . Let AB ,
CD , be equal and parallel straight lines , and joined towards the same parts by ...
Side 27
Join BE , CH ; and because BC is equal to FG , and FG to ( 28. 1. ) EH , BC is
equal to EH ; and , they are parallels , and joined towards the same parts by
C F G the straight lines BE , CH : But straight lines which join equal and parallel
straight ...
Join BE , CH ; and because BC is equal to FG , and FG to ( 28. 1. ) EH , BC is
equal to EH ; and , they are parallels , and joined towards the same parts by
C F G the straight lines BE , CH : But straight lines which join equal and parallel
straight ...
Side 28
... DBC be upon the same base BC , and upon the same side of it ; they are
between the same parallels , Join AD : AD is parallel to BC ; for , if it is not ,
through the point A draw AE parallel to BC , and join EC : The triangle ABC , is
equal ( 31. 1. ) ...
... DBC be upon the same base BC , and upon the same side of it ; they are
between the same parallels , Join AD : AD is parallel to BC ; for , if it is not ,
through the point A draw AE parallel to BC , and join EC : The triangle ABC , is
equal ( 31. 1. ) ...
Side 29
Let the equal triangles ABC , DEF be upon equal bases BC , EF , in the same
straight line BF , and towards the same parts ; they are beA D tween the same
parallels . Join AD ; AD is parallel to BC ; For , if it is not , through A draw AG
parallel to ...
Let the equal triangles ABC , DEF be upon equal bases BC , EF , in the same
straight line BF , and towards the same parts ; they are beA D tween the same
parallels . Join AD ; AD is parallel to BC ; For , if it is not , through A draw AG
parallel to ...
Side 31
Ax . ) to one another ; therefore the parallelogram BL is equal to the square GB :
And in the same manner , by joining AE ... From the point A draw AD at right
angles to AC , and make AD equal to BA , and join DC . Then because DA is
equal to ...
Ax . ) to one another ; therefore the parallelogram BL is equal to the square GB :
And in the same manner , by joining AE ... From the point A draw AD at right
angles to AC , and make AD equal to BA , and join DC . Then because DA is
equal to ...
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Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
| Forfatter | John Playfair |
| Utgave | 6 |
| Utgiver | W. E. Dean, 1836 |
| Lengde | 311 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |