The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 39
Let the parallelograms ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the parallelogram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCĚ , opposite to ...
Let the parallelograms ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the parallelogram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCĚ , opposite to ...
Página 119
Let ABCD be the given circle : it is required to inscribe a square in ABCD . Draw two diameters AC , BD of the circle ABCD , at right angles to one another ; ( III . 1 , 1. 11 . and join AB , BC , CD , DA . The figure ABCD shall be the ...
Let ABCD be the given circle : it is required to inscribe a square in ABCD . Draw two diameters AC , BD of the circle ABCD , at right angles to one another ; ( III . 1 , 1. 11 . and join AB , BC , CD , DA . The figure ABCD shall be the ...
Página 248
1 . that is , as the circle ABCD is to the space S. [ Hyp . , V. 11 . But the polygon AXBOCPDR is less than the circle ABCD in which it is inscribed , therefore the polygon EKFLGMHN is less than the space S ; [ V. 14 . but it is also ...
1 . that is , as the circle ABCD is to the space S. [ Hyp . , V. 11 . But the polygon AXBOCPDR is less than the circle ABCD in which it is inscribed , therefore the polygon EKFLGMHN is less than the space S ; [ V. 14 . but it is also ...
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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