The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página 15
... given finite straight line . Let AB be the given straight line ; it is ... ABC shall be an equilateral triangle . D C Book I. a 3. Postu- late . A B E ... ABC is therefore equila - o teral , and it is described upon the given straight ...
... given finite straight line . Let AB be the given straight line ; it is ... ABC shall be an equilateral triangle . D C Book I. a 3. Postu- late . A B E ... ABC is therefore equila - o teral , and it is described upon the given straight ...
Página 16
... equal e to BG ; and because D is the centre of the circle GKL , e 15. Def ... given point A a straight line AL has been drawn equal to the given straight ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ...
... equal e to BG ; and because D is the centre of the circle GKL , e 15. Def ... given point A a straight line AL has been drawn equal to the given straight ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ...
Página 21
... equal to one another , and likewise their sides terminated in the other extremity ... given rectilineal angle , that is , to di- vide it into two equal angles ... ABC , and bisect a 1.1 . the angle ACB by the straight line CD . AB is cut ...
... equal to one another , and likewise their sides terminated in the other extremity ... given rectilineal angle , that is , to di- vide it into two equal angles ... ABC , and bisect a 1.1 . the angle ACB by the straight line CD . AB is cut ...
Página 22
... given straight line , from a given point in the same . Let AB be , a given straight line , and C a point given in it ... ABC , ABD have the segment AB common to both of them . From the poirt B draw BE at right angles to AB ; and because ABC ...
... given straight line , from a given point in the same . Let AB be , a given straight line , and C a point given in it ... ABC , ABD have the segment AB common to both of them . From the poirt B draw BE at right angles to AB ; and because ABC ...
Página 30
Euclid Robert Simson. Book I. c equal to FK ; but FD is equal to the straight line A ; there . fore FK is equal ... given straight lines A , B , C. Which was to be done . a 22. 1 . PROP ... ABC , DEF be two triangles which have 30 THE ELEMENTS.
Euclid Robert Simson. Book I. c equal to FK ; but FD is equal to the straight line A ; there . fore FK is equal ... given straight lines A , B , C. Which was to be done . a 22. 1 . PROP ... ABC , DEF be two triangles which have 30 THE ELEMENTS.
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Términos y frases comunes
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore