The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 26
PROBLEM , At a given point in a given straight line , to make a rectilineal angle equal to a given rectitincal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle : it is ...
PROBLEM , At a given point in a given straight line , to make a rectilineal angle equal to a given rectitincal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle : it is ...
Página 48
And because the straight line HG meets the parallels KM , FG , the alternate angles MHG , HGF are equal . ... From this it is manifest , how to a given straight line , to apply a parallelogram , which shall have an angle equal to a ...
And because the straight line HG meets the parallels KM , FG , the alternate angles MHG , HGF are equal . ... From this it is manifest , how to a given straight line , to apply a parallelogram , which shall have an angle equal to a ...
Página 107
From a given circle to cut off a segment containing an angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given rectilineal angle : it is required to cut off from the circle ABC a segment containing an ...
From a given circle to cut off a segment containing an angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given rectilineal angle : it is required to cut off from the circle ABC a segment containing an ...
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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