The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 7
To describe an equilateral triangle upon a given finite straight line . Let A B be the given straight line . It is required to describe an equilateral triangle upon A B. B From the centre A , at the distance A B , describe ( Post .
To describe an equilateral triangle upon a given finite straight line . Let A B be the given straight line . It is required to describe an equilateral triangle upon A B. B From the centre A , at the distance A B , describe ( Post .
Σελίδα 14
From the extremity of a given straight line , to draw a straight line which shall make a right angle with it . 2. In a straight line of unlimited length , given in position , to find a point equally distant from two given points . 3.
From the extremity of a given straight line , to draw a straight line which shall make a right angle with it . 2. In a straight line of unlimited length , given in position , to find a point equally distant from two given points . 3.
Σελίδα 133
To divide a given straight line similarly to a given divided straight line , that is , into parts proportional to the parts of the given divided straight line . Let A B be the given straight line to be divided , and A C the given ...
To divide a given straight line similarly to a given divided straight line , that is , into parts proportional to the parts of the given divided straight line . Let A B be the given straight line to be divided , and A C the given ...
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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