The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 68
Let ABC be any triangle , and the angle at B an acute angle ; and on BC one of the sides containing it , let fall the perpendicular AD from the opposite angle : the square on AC , opposite to the angle B , shall be less than the squares ...
Let ABC be any triangle , and the angle at B an acute angle ; and on BC one of the sides containing it , let fall the perpendicular AD from the opposite angle : the square on AC , opposite to the angle B , shall be less than the squares ...
Página 92
Let the straight line DE touch the circle ABC at C , and from C let CA be drawn at right angles to DE : the centre of the circle shall be in CA. For , if not , if possible , let F be the centre , and join CF. Then , because DE touches ...
Let the straight line DE touch the circle ABC at C , and from C let CA be drawn at right angles to DE : the centre of the circle shall be in CA. For , if not , if possible , let F be the centre , and join CF. Then , because DE touches ...
Página 115
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 DEF . Draw the straight line GAH touohing the circle at the point A ; [ III . 17 .
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 DEF . Draw the straight line GAH touohing the circle at the point A ; [ III . 17 .
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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