The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 6
... lines being continually produced shall at length meet upon that fide on which are " the angles which are less than two right angles . See the " notes on Prop . 29. of Book I. " PROPOSITION I. PROBLEM . T ° Book I. O defcribe 6 ELEMENTS THE.
... lines being continually produced shall at length meet upon that fide on which are " the angles which are less than two right angles . See the " notes on Prop . 29. of Book I. " PROPOSITION I. PROBLEM . T ° Book I. O defcribe 6 ELEMENTS THE.
Página 7
Euclid Robert Simson. PROPOSITION I. PROBLEM . T ° Book I. O defcribe an equilateral triangle upon a given un finite ftraight line . Let AB be the given straight line , it is required to describe an equilateral triangle upon it . From ...
Euclid Robert Simson. PROPOSITION I. PROBLEM . T ° Book I. O defcribe an equilateral triangle upon a given un finite ftraight line . Let AB be the given straight line , it is required to describe an equilateral triangle upon it . From ...
Página 8
... PROPOSITION . IN a right angled triangle , of the three fides and three angles , any two being given besides the right angle , the other three may be found , except when the two acute angles are given , in which cafe the ratios of the ...
... PROPOSITION . IN a right angled triangle , of the three fides and three angles , any two being given besides the right angle , the other three may be found , except when the two acute angles are given , in which cafe the ratios of the ...
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AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore