The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 3
... straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight DEFINITIONS . 3.
... straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight DEFINITIONS . 3.
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Euclides. POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may ...
Euclides. POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may ...
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... straight line ab . Which was to be done . PROPOSITION II . — PROBLEM . From a given point to draw a straight line equal to a given straight line . LET a be the given point , and be the given straight line ; it is required to draw from ...
... straight line ab . Which was to be done . PROPOSITION II . — PROBLEM . From a given point to draw a straight line equal to a given straight line . LET a be the given point , and be the given straight line ; it is required to draw from ...
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... straight lines , a part ae has been cut off equal to the less . Which was to ... LET abc , def be two triangles , which have the two sides ab , ac equal to ... straight line ab upon de ; the point b shall coin- cide with the ...
... straight lines , a part ae has been cut off equal to the less . Which was to ... LET abc , def be two triangles , which have the two sides ab , ac equal to ... straight line ab upon de ; the point b shall coin- cide with the ...
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... straight line bc upon ef ; the point c shall also coin- cide with the point f , be- b cause bc is equal to ef ... LET bac be the given rectilineal angle , it is required to bisect it . Take any point d in ab , and from ac cut ( i . 3 ) off ae ...
... straight line bc upon ef ; the point c shall also coin- cide with the point f , be- b cause bc is equal to ef ... LET bac be the given rectilineal angle , it is required to bisect it . Take any point d in ab , and from ac cut ( i . 3 ) off ae ...
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Términos y frases comunes
ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle