The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 5
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing , are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
Page 7
... described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
Page 34
... D : where- fore a parallelogram FECG has been described equal to the given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . PROP . XLIII . THEOR . The complements of the 34 EUCLID'S ELEMENTS .
... D : where- fore a parallelogram FECG has been described equal to the given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . PROP . XLIII . THEOR . The complements of the 34 EUCLID'S ELEMENTS .
Page 37
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an ...
Page 38
... described upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle . * B H K Let ABC be a right - angled triangle , having the right angle BAC : the square described upon ...
... described upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle . * B H K Let ABC be a right - angled triangle , having the right angle BAC : the square described upon ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali 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 logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore