The Elements of Euclid, Libros 1-6;Libro 11 |
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A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight ... A. A plane is perpendicular to a plane , when the straight lines drawn in one of the planes perpendicular to the ...
A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight ... A. A plane is perpendicular to a plane , when the straight lines drawn in one of the planes perpendicular to the ...
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From the same point in a given plane , there cannot he two straight lines at right angles to the plane , on the same side of it ; and there can be but one perpendicular to a plane from a point without the plane .
From the same point in a given plane , there cannot he two straight lines at right angles to the plane , on the same side of it ; and there can be but one perpendicular to a plane from a point without the plane .
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B E F Let the two planes BA , BC be each of them perpendicular to a third plane , and let B D be the common section of the planes BA , BC : BD shall be perpendicular to the third plane . For , if not , from the point D , draw in the ...
B E F Let the two planes BA , BC be each of them perpendicular to a third plane , and let B D be the common section of the planes BA , BC : BD shall be perpendicular to the third plane . For , if not , from the point D , draw in the ...
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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