The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 59
... twice the rectangle contained by the whole and that part , together with the square on the other part . Let the straight line AR be divided into any two parts at the point C : the squares on AB , BC shall be equal to twice the ...
... twice the rectangle contained by the whole and that part , together with the square on the other part . Let the straight line AR be divided into any two parts at the point C : the squares on AB , BC shall be equal to twice the ...
Página 67
... rectangle AB , BHis equal to the square on AH . Wherefore the straight line ... twice the rectangle contained by the side on which , when produced , the ... triangle , the square BOOK II . 11 , 12 . 67.
... rectangle AB , BHis equal to the square on AH . Wherefore the straight line ... twice the rectangle contained by the side on which , when produced , the ... triangle , the square BOOK II . 11 , 12 . 67.
Página 68
... twice the rectangle contained by either of these sides , and the straight line intercepted between the perpendicular ... twice the rectangle CB , BD . First , let AD fall within the triangle ABC . Then , because the straight line ...
... twice the rectangle contained by either of these sides , and the straight line intercepted between the perpendicular ... twice the rectangle CB , BD . First , let AD fall within the triangle ABC . Then , because the straight line ...
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Términos y frases comunes
ABCD angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC BC is equal bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore whole angle