The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 8
From a given point to draw a straight line equal to a given straight 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 the ...
From a given point to draw a straight line equal to a given straight 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 the ...
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 ...
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PROBLEM , To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be the given ...
PROBLEM , To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be the given ...
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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