The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 224
... common section is a straight line . Let two planes AB , BC cut one another , and let BD be their common section : BD shall be a straight line . If it be not , from B to D , draw in the plane AB the straight line BED , and in the plane ...
... common section is a straight line . Let two planes AB , BC cut one another , and let BD be their common section : BD shall be a straight line . If it be not , from B to D , draw in the plane AB the straight line BED , and in the plane ...
Página 240
... common section of the planes BA , BC : BD shall be perpendicular to the third plane . For , if not , from the point D , draw in the plane BA , the straight line DE at right angles to AD , the common section of the plane BA with the ...
... common section of the planes BA , BC : BD shall be perpendicular to the third plane . For , if not , from the point D , draw in the plane BA , the straight line DE at right angles to AD , the common section of the plane BA with the ...
Página 271
... common points , and when every point in one circle is within the other circle , except the common point or points . Two circles are said to touch externally when their circumferences have one or more common points , and when every point ...
... common points , and when every point in one circle is within the other circle , except the common point or points . Two circles are said to touch externally when their circumferences have one or more common points , and when every point ...
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Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC 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