The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 2
... less than a right angle . Obtuse . Acute . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure contained by one line , which is ...
... less than a right angle . Obtuse . Acute . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure contained by one line , which is ...
Página 4
... less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles . PROPOSITION I. - PROBLEM . To describe an equilateral ...
... less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles . PROPOSITION I. - PROBLEM . To describe an equilateral ...
Página 5
... less . LET ab and c be the two given straight lines , whereof ab is the greater . It is required to cut off from a b , the greater , a part equal to c , the less . d From the point a draw ( i . 2 ) the straight line ad equal to c ; and ...
... less . LET ab and c be the two given straight lines , whereof ab is the greater . It is required to cut off from a b , the greater , a part equal to c , the less . d From the point a draw ( i . 2 ) the straight line ad equal to c ; and ...
Página 6
... less . Which was to be done . PROPOSITION IV . - THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they ...
... less . Which was to be done . PROPOSITION IV . - THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they ...
Página 7
... less , and join fc , gb . Because af is equal to ag , and ab to ac , the two sides fa , ac are equal to the two ga , ab , each to each ; and they contain the angle fag common to the two triangles afc , agb ; there- f d a b C g e fore ...
... less , and join fc , gb . Because af is equal to ag , and ab to ac , the two sides fa , ac are equal to the two ga , ab , each to each ; and they contain the angle fag common to the two triangles afc , agb ; there- f d a b C g e fore ...
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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