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Page 120
( 1 ) If two triangles have their areas equal , and one side and an adjacent angle equal , each to each ... Then , because the equal triangles ABC and DEF are on equal bases , BC , EF , therefore they are between the same parallels .
( 1 ) If two triangles have their areas equal , and one side and an adjacent angle equal , each to each ... Then , because the equal triangles ABC and DEF are on equal bases , BC , EF , therefore they are between the same parallels .
Page 217
Let ABC be an isosceles triangle , and let DBC be any other equal triangle on the same base BC , and on the same side of ... To each of these equals add the angle BAC ; therefore the angles FAB , BAC are equal to the three angles of the ...
Let ABC be an isosceles triangle , and let DBC be any other equal triangle on the same base BC , and on the same side of ... To each of these equals add the angle BAC ; therefore the angles FAB , BAC are equal to the three angles of the ...
Page 154
Let ABCD be a parallelogram ( with base DC ) , and E the given point in the side BC . ( In the figure we suppose E to fall below the middle point of BC . ) Draw AC , BD meeting each other in F. Through E , F draw EFG , meeting AD in G.
Let ABCD be a parallelogram ( with base DC ) , and E the given point in the side BC . ( In the figure we suppose E to fall below the middle point of BC . ) Draw AC , BD meeting each other in F. Through E , F draw EFG , meeting AD in G.
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Page 139 - Beside yon straggling fence that skirts the way, With blossom'd furze unprofitably gay, There, in his noisy mansion, skilled to rule, The village master taught his little school. A man severe he was, and stern to view ; I knew him well, and every truant knew : Well had the boding tremblers learned to trace The day's disasters in his morning face...