The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 14
Q. E. D. B In Playfair's edition of the Elements , this corollary is drawn from the defective defini- tion of a straight ... From the extremity of a given straight line , to draw a straight line which shall make a right angle with it .
Q. E. D. B In Playfair's edition of the Elements , this corollary is drawn from the defective defini- tion of a straight ... From the extremity of a given straight line , to draw a straight line which shall make a right angle with it .
Σελίδα 162
To draw a straight line perpendicular to a plane , from a given point above it . ... In the plane B H draw any straight line B C , and in the plane passing through BC and A , from the point A draw ( I. 12 ) A D perpendicular to BC .
To draw a straight line perpendicular to a plane , from a given point above it . ... In the plane B H draw any straight line B C , and in the plane passing through BC and A , from the point A draw ( I. 12 ) A D perpendicular to BC .
Σελίδα 163
To draw a straight line at right angles to a given plane , from a point given in the plane . Let A be the given point in the ... 11 ) BC perpendicular to it ; and from A draw ( I. 31 ) A D parallel to BC . AD is at right angles to the ...
To draw a straight line at right angles to a given plane , from a point given in the plane . Let A be the given point in the ... 11 ) BC perpendicular to it ; and from A draw ( I. 31 ) A D parallel to BC . AD is at right angles to the ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole