The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 2
... angles are at one point B , any ' one of them is expressed by three letters , of which the letter that is at the ... right angle ; and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that ...
... angles are at one point B , any ' one of them is expressed by three letters , of which the letter that is at the ... right angle ; and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that ...
Page 4
... right angle . XXVIII . An obtuse angled triangle , is that which has an obtuse angle . JA XXIX . An acute angled triangle , is that which has three acute angles ... angles right angles . See N. XXXI . An oblong , is that which has all its ...
... right angle . XXVIII . An obtuse angled triangle , is that which has an obtuse angle . JA XXIX . An acute angled triangle , is that which has three acute angles ... angles right angles . See N. XXXI . An oblong , is that which has all its ...
Page 6
... right angles are equal to one another . XII . " If a straight line meet two , straight lines , so as to " make the two interior angles on the same side of " it taken together less than two right angles , these " straight lines being ...
... right angles are equal to one another . XII . " If a straight line meet two , straight lines , so as to " make the two interior angles on the same side of " it taken together less than two right angles , these " straight lines being ...
Page 13
... angles . Let BAC be the given rectilineal angle ; it is re- quired to bisect it . Take any point D in AB , and from ... right angles to a given straight line , from a given point in the same . + Constr . * 4.1 . Let AB be a given ...
... angles . Let BAC be the given rectilineal angle ; it is re- quired to bisect it . Take any point D in AB , and from ... right angles to a given straight line , from a given point in the same . + Constr . * 4.1 . Let AB be a given ...
Page 14
... angle DCF is equal to the angle ECF ; and they are adjacent angles . But when the adjacent angles which one straight line makes with another straight line , are equal to one another , each of them is called a right angle ; therefore each of ...
... angle DCF is equal to the angle ECF ; and they are adjacent angles . But when the adjacent angles which one straight line makes with another straight line , are equal to one another , each of them is called a right angle ; therefore each of ...
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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