The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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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 ... ac is equal ( 15 def . ) to ab ; and because the point b is the centre 4 THE ELEMENTS OF EUCLID ...
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 ... ac is equal ( 15 def . ) to ab ; and because the point b is the centre 4 THE ELEMENTS OF EUCLID ...
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... ac equal to the two sides de , df , each to each , viz . ab to de , and acto df ; and the angle bac equal to the ... straight line ab upon de ; the point b shall coin- cide with the point e , because ab is equal to de ; and ab coinciding with ...
... ac equal to the two sides de , df , each to each , viz . ab to de , and acto df ; and the angle bac equal to the ... straight line ab upon de ; the point b shall coin- cide with the point e , because ab is equal to de ; and ab coinciding with ...
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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 . Therefore bc coinciding with ef ; ba and ac shall coincide with ed and df ; for , if the base be coincides with the base ef ...
... straight line bc upon ef ; the point c shall also coin- cide with the point f , be- b cause bc is equal to ef . Therefore bc coinciding with ef ; ba and ac shall coincide with ed and df ; for , if the base be coincides with the base ef ...
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... ac b by the straight linecd . abis cut into two equal parts in the point d ... line abis divided into two equal parts in the point d . Which was to be done . PROPOSITION XI . - PROBLEM . To ... a straight 10 THE ELEMENTS OF EUCLID .
... ac b by the straight linecd . abis cut into two equal parts in the point d ... line abis divided into two equal parts in the point d . Which was to be done . PROPOSITION XI . - PROBLEM . To ... a straight 10 THE ELEMENTS OF EUCLID .
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... ac ; therefore the sides ba , ac are greater than bc . In the same manner it ... straight lines to a point within the triangle , these shall be less than the ... line de terminated at the point d BOOK I. PROPS . XXI . , XXII . 15.
... ac ; therefore the sides ba , ac are greater than bc . In the same manner it ... straight lines to a point within the triangle , these shall be less than the ... line de terminated at the point d BOOK I. PROPS . XXI . , XXII . 15.
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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