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 113
A REOTILINEAL figure is said to he inscribed in another rectilineal figure , when all the angles of the inscribed figure are on the sides of the figure in which it is inscribed , each on each . o 2. In like manner , a figure is said to ...
A REOTILINEAL figure is said to he inscribed in another rectilineal figure , when all the angles of the inscribed figure are on the sides of the figure in which it is inscribed , each on each . o 2. In like manner , a figure is said to ...
Página 209
13 . and on GH describe the rectilineal figure KGH , similar and similarly situated to the rectilineal figure ABC [ VI , 18 . KGH shall be the rectilineal figure required . For , because BC is to GH as GH is to CF , [ Construction . and ...
13 . and on GH describe the rectilineal figure KGH , similar and similarly situated to the rectilineal figure ABC [ VI , 18 . KGH shall be the rectilineal figure required . For , because BC is to GH as GH is to CF , [ Construction . and ...
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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