The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 62
... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line . Let A and BC be two straight lines , and let BC be divided into any parts in the points ...
... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line . Let A and BC be two straight lines , and let BC be divided into any parts in the points ...
Página 63
... , the rectangle contained by two straight lines AB , BC will in future be called , simply , the rectangle AB , BC . through C draw CF , parallel to AD or BE G 2 BOOK II . 63 the rectangle contained by A, BD, together with ...
... , the rectangle contained by two straight lines AB , BC will in future be called , simply , the rectangle AB , BC . through C draw CF , parallel to AD or BE G 2 BOOK II . 63 the rectangle contained by A, BD, together with ...
Página 64
... rectangle contained by AB , AC , for it is con- tained by AD , AC , of which AD is equal D F E to AB ; and CE is contained by AB , BC , for BE is equal to AB : Therefore the rectangle AB , AC , together with the rectangle AB , BC , is ...
... rectangle contained by AB , AC , for it is con- tained by AD , AC , of which AD is equal D F E to AB ; and CE is contained by AB , BC , for BE is equal to AB : Therefore the rectangle AB , AC , together with the rectangle AB , BC , is ...
Página 65
... rectangle contained by the parts . Let the straight line AB be divided into any two parts at C : the square on AB shall be equal to the squares on AC , CB , together with twice the rectangle contained by AC , CB . A H G CB F 10 angle ...
... rectangle contained by the parts . Let the straight line AB be divided into any two parts at C : the square on AB shall be equal to the squares on AC , CB , together with twice the rectangle contained by AC , CB . A H G CB F 10 angle ...
Página 66
... rectangle AC , CB , and AG , GE are equal to twice the rectangle AC , CB ... contained by the unequal parts , together with the square on the line ... rectangle AD , DB , together with the square on CD , shall be equal to the square on CB ...
... rectangle AC , CB , and AG , GE are equal to twice the rectangle AC , CB ... contained by the unequal parts , together with the square on the line ... rectangle AD , DB , together with the square on CD , shall be equal to the square on CB ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore