The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 16
To draw a straight line at right angles to a given straight line , from a giren point in the same . Let AB be the given straight line , and C the given point in it : it is required to draw from the point Ca straight line at right angles ...
To draw a straight line at right angles to a given straight line , from a giren point in the same . Let AB be the given straight line , and C the given point in it : it is required to draw from the point Ca straight line at right angles ...
Página 188
From the point A draw a straight E line AC , making any angle with AB ; in AC take any point D , and take AC the same multiple of AD , that AB is of the part which is to be cut off from it ; join BC , and draw DE parallel to it .
From the point A draw a straight E line AC , making any angle with AB ; in AC take any point D , and take AC the same multiple of AD , that AB is of the part which is to be cut off from it ; join BC , and draw DE parallel to it .
Página 232
To draw a straight line perpendicular to a given plane , from a given point without it . Let A be the given point without the plane BH : it is required to draw from the point A a straight line perpendicular to the plane BH .
To draw a straight line perpendicular to a given plane , from a given point without it . Let A be the given point without the plane BH : it is required to draw from the point A a straight line perpendicular to the plane BH .
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole