The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 19
i BC are greater than CA , and the two sides BC , CA greater than A B. Therefore any two sides , & c . Q.E.D. This proposition is a ... Any side of a triangle is greater than the difference between the other two sides . Exercise 2.
i BC are greater than CA , and the two sides BC , CA greater than A B. Therefore any two sides , & c . Q.E.D. This proposition is a ... Any side of a triangle is greater than the difference between the other two sides . Exercise 2.
Σελίδα 21
It is evident that upon the other side of the straight line A B , another angle might be made equal to the given angle D C E. ... If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle ...
It is evident that upon the other side of the straight line A B , another angle might be made equal to the given angle D C E. ... If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle ...
Σελίδα 39
But there are six different cases or positions of the three squares in relation to the sides of the triangle and to each other , as follows ... The two smaller squares on the exterior sides , and the greater on the interior side . 4.
But there are six different cases or positions of the three squares in relation to the sides of the triangle and to each other , as follows ... The two smaller squares on the exterior sides , and the greater on the interior side . 4.
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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