The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 4
... triangle upon it . d 3 c b From the centre a , at the distance ab , describe ( 3 post . ) the circle bed , and from ... triangle . Because the point a is the centre of the circle bcd , ac is equal ( 15 def . ) to ab ; and because ...
... triangle upon it . d 3 c b From the centre a , at the distance ab , describe ( 3 post . ) the circle bed , and from ... triangle . Because the point a is the centre of the circle bcd , ac is equal ( 15 def . ) to ab ; and because ...
Página 5
... triangle dab , and produce ( 2 post . ) the straight lines da , db , to e ... def . ) to bg ; and because d is the centre of the circle gkl , dl is equal ... def ; ae shall be equal to c . Because a is the centre of the circle ...
... triangle dab , and produce ( 2 post . ) the straight lines da , db , to e ... def . ) to bg ; and because d is the centre of the circle gkl , dl is equal ... def ; ae shall be equal to c . Because a is the centre of the circle ...
Página 6
... def , and the angle acb to dfe . LET abc , def be two triangles , which have the two sides ab , ac equal to the two ... triangle abc to the triangle def ; and the other angles to which the equal sides are opposite , shall be equal ...
... def , and the angle acb to dfe . LET abc , def be two triangles , which have the two sides ab , ac equal to the two ... triangle abc to the triangle def ; and the other angles to which the equal sides are opposite , shall be equal ...
Página 8
... triangles acb , ad b , upon the same base a b , and upon the same side ... triangle , because acis equal to ad , the angle acd is equal ( i . 5 ) to ... def be two triangles , having the two sides ab , ac , equal to the two sides ...
... triangles acb , ad b , upon the same base a b , and upon the same side ... triangle , because acis equal to ad , the angle acd is equal ( i . 5 ) to ... def be two triangles , having the two sides ab , ac , equal to the two sides ...
Página 9
... triangle def ; then join af ; the straight line af bisects the angle bac . a Because ad is equal to ae , and af is common to the two triangles daf , eaf ; the two sides da , af , are equal to the two sides ea , af , each to each ; and ...
... triangle def ; then join af ; the straight line af bisects the angle bac . a Because ad is equal to ae , and af is common to the two triangles daf , eaf ; the two sides da , af , are equal to the two sides ea , af , each to each ; and ...
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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