The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 páginas |
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Página 13
... straight line BC upon EF ; 1 . The point C shall coincide with the point F ... Let BAC be the given rectilineal angle , it is required to bisect it . Take ... straight line AF bisects the triangle BAC . D F B C Because AD is equal to AE ...
... straight line BC upon EF ; 1 . The point C shall coincide with the point F ... Let BAC be the given rectilineal angle , it is required to bisect it . Take ... straight line AF bisects the triangle BAC . D F B C Because AD is equal to AE ...
Página 14
... straight line AF . Which was to be done . PROP . X. - PROBLEM . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts ...
... straight line AF . Which was to be done . PROP . X. - PROBLEM . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts ...
Página 15
... straight line AB F A D C E B Because DC is equal to CE , and FC common to the two triangles DCF , ECF ; 1 . The two ... let the two straight lines ABC , ABD , have the seg- ment AB common to both of them . E A B Ꭰ C From the point B ...
... straight line AB F A D C E B Because DC is equal to CE , and FC common to the two triangles DCF , ECF ; 1 . The two ... let the two straight lines ABC , ABD , have the seg- ment AB common to both of them . E A B Ꭰ C From the point B ...
Página 16
... straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw a straight line ...
... straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw a straight line ...
Página 17
... straight line . At the point B , in the straight line AB , let the two straight lines BC , BD , upon the opposite sides of AB , make the adjacent angles ABC , ABD , equal together to two right angles . BD is in the same straight line ...
... straight line . At the point B , in the straight line AB , let the two straight lines BC , BD , upon the opposite sides of AB , make the adjacent angles ABC , ABD , equal together to two right angles . BD is in the same straight line ...
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Términos y frases comunes
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle