The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 36
All the interior angles of any rectia lineal figure , together with four right angles , are equal to twice as many right angles as the figure has sider For any rectilineal figure ABCDE can be divided into as many triangles as the figure ...
All the interior angles of any rectia lineal figure , together with four right angles , are equal to twice as many right angles as the figure has sider For any rectilineal figure ABCDE can be divided into as many triangles as the figure ...
Página 103
B semicircle , shall be less than a right angle ; and the angle in the segment ADC , which is less than a semicircle , shall be greater than a right angle .. Join AE , and produce BAto F. Then , because EA is equal to EB ...
B semicircle , shall be less than a right angle ; and the angle in the segment ADC , which is less than a semicircle , shall be greater than a right angle .. Join AE , and produce BAto F. Then , because EA is equal to EB ...
Página 230
But the angle ABE is a right angle ; BU therefore the angle ADE is a right angle ; that is , ED is at right angles to AD . But E D is at right angles to BD , ( Const . therefore ED is at right angles to the plane which passes through BD ...
But the angle ABE is a right angle ; BU therefore the angle ADE is a right angle ; that is , ED is at right angles to AD . But E D is at right angles to BD , ( Const . therefore ED is at right angles to the plane which passes through BD ...
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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