The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 2
... perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity EUCLID'S ELEMENTS .
... perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity EUCLID'S ELEMENTS .
Page 14
... perpendicular to a given 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 ...
... perpendicular to a given 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 ...
Page 15
... perpendicular + to it : there- +10 Def . fore , from the given point C , a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XIII . THEOR . The angles which one straight line makes with ...
... perpendicular + to it : there- +10 Def . fore , from the given point C , a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XIII . THEOR . The angles which one straight line makes with ...
Page 50
... Which was to be done . PROP . XII . THEOR . K In obtuse angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side pro- duced , the square of the side subtending the obtuse 50 EUCLID'S ELEMENTS .
... Which was to be done . PROP . XII . THEOR . K In obtuse angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side pro- duced , the square of the side subtending the obtuse 50 EUCLID'S ELEMENTS .
Page 51
... perpendicular falls , and the straight line intercepted without the tri- angle between the perpendicular and the obtuse angle . * Let ABC be an obtuse angled triangle , having the obtuse angle ACB , and from the point A let AD be drawn ...
... perpendicular falls , and the straight line intercepted without the tri- angle between the perpendicular and the obtuse angle . * Let ABC be an obtuse angled triangle , having the obtuse angle ACB , and from the point A let AD be drawn ...
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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