The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 82
THEOREM , If a point be taken within a circle , from which there falt more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the ...
THEOREM , If a point be taken within a circle , from which there falt more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the ...
Página 114
A circle is said to be described about a rectilineal figure , when the circumference of the circle passes through all ... Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle : it is ...
A circle is said to be described about a rectilineal figure , when the circumference of the circle passes through all ... Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle : it is ...
Página 115
PROBLEM BH 2 1 In a given circle , to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle : it is required to inscribe in the circle ABC a triangle equiangular to the triangle ...
PROBLEM BH 2 1 In a given circle , to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle : it is required to inscribe in the circle ABC a triangle equiangular to the triangle ...
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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