The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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... plane , when it makes right angles with every straight line meeting it in that plane . 4. A plane is perpendicular to a plane , when the straight lines drawn in one of the planes perpendicular to the common section of the two planes ...
... plane , when it makes right angles with every straight line meeting it in that plane . 4. A plane is perpendicular to a plane , when the straight lines drawn in one of the planes perpendicular to the common section of the two planes ...
Página 223
... plane , it can be produced in that plane ; let it be produced to D ; and let any plane pass through the straight line AD , and be turned about until it pass through the point C. Then , because the points B and C are in this plane , the ...
... plane , it can be produced in that plane ; let it be produced to D ; and let any plane pass through the straight line AD , and be turned about until it pass through the point C. Then , because the points B and C are in this plane , the ...
Página 240
... 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 third plane ; [ I. 11 . and from the point D , draw in the plane BC , the straight ...
... 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 third plane ; [ I. 11 . and from the point D , draw in the plane BC , the straight ...
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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