The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 22
... base AD is equal to the base DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . MA Α D B PROP . XI . PROB . TO draw a straight line at right angles to a given straight line , from a ...
... base AD is equal to the base DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . MA Α D B PROP . XI . PROB . TO draw a straight line at right angles to a given straight line , from a ...
Side 30
... base DE to the base FG ; the angle DCE is equal to the angle FAG . Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV ...
... base DE to the base FG ; the angle DCE is equal to the angle FAG . Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV ...
Side 31
... 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 ... base BC is equal to the base EG ; and because DG is equal to DF , the angle DFG is equal d to the angle DGF ; but 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 ... base BC is equal to the base EG ; and because DG is equal to DF , the angle DFG is equal d to the angle DGF ; but the ...
Side 32
... 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 it less ; because then the base BC would be less b than the base EF ; but it is not ; there- fore the angle BAC A B D E ...
... 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 it less ; because then the base BC would be less b than the base EF ; but it is not ; there- fore the angle BAC A B D E ...
Side 33
... base GC is equal to the base DF , and the triangle GBC to a 4 1 . the triangle DEF , and the other angles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GB is equal to the angle DFE ...
... base GC is equal to the base DF , and the triangle GBC to a 4 1 . the triangle DEF , and the other angles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GB is equal to the angle DFE ...
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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