The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
Inni boken
Resultat 6-10 av 100
Side 28
... greater than AB . Wherefore the greater angle , & c . Q. E. D. See No a 3. 1 . b 5. 1 . c 19. 1 . See Note . PROP . XX . THEOR . ANY two sides of a triangle are together greater than the third side . Let ABC be a triangle ' ; any two ...
... greater than AB . Wherefore the greater angle , & c . Q. E. D. See No a 3. 1 . b 5. 1 . c 19. 1 . See Note . PROP . XX . THEOR . ANY two sides of a triangle are together greater than the third side . Let ABC be a triangle ' ; any two ...
Side 29
... greater than CD , DB ; but it has been shown that BA , AC are greater than BE , EC ; much more then are BA , AC B greater than BD , DC . Again , because the exterior angle of a triangle is greater than the interior and opposite angle ...
... greater than CD , DB ; but it has been shown that BA , AC are greater than BE , EC ; much more then are BA , AC B greater than BD , DC . Again , because the exterior angle of a triangle is greater than the interior and opposite angle ...
Side 30
... greater angle shall be greater than the base of the other . " Let ABC , DEF be two triangles which have 30 THE ELEMENTS.
... greater angle shall be greater than the base of the other . " Let ABC , DEF be two triangles which have 30 THE ELEMENTS.
Side 31
... greater than the angle EDF ; the base BC is also greater than the base EF . Of the two sides DE , DF , let DE be the side which is not greater than the other , and at the point D , in the straight line DE , make a the angle EDG equal to ...
... greater than the angle EDF ; the base BC is also greater than the base EF . Of the two sides DE , DF , let DE be the side which is not greater than the other , and at the point D , in the straight line DE , make a the angle EDG equal to ...
Side 32
... greater , it must either be equal to it , or less ; but the angle BAC is not equal to the angle EDF , because then the base BC would be equal a to EF ; but it is not ; therefore the angle BAC is not equal to the angle EDF ; neither is ...
... greater , it must either be equal to it , or less ; but the angle BAC is not equal to the angle EDF , because then the base BC would be equal a to EF ; but it is not ; therefore the angle BAC is not equal to the angle EDF ; neither is ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
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