Therefore if \ delta is greater than the value of the isoline the positive corners are in the main section of the square and the negative corners are separated by two isolines, and if \ delta is less than the value of isoline the negative corners are in the main section of the square and the positive corners are separated by two isolines.
22.
In these four maps he draws hypothetical isobaths, which are based on respectively 15, 31, 154, and 308 altitude measurements per for France and the adjacent territories . ( A reasonable amount of measuring points for precipitation and temperature maps would be 1, 500 and 600 per 100, 000 km?respectively to create acceptable isoline maps for these phenomena ).
23.
These included proportional point symbols, the line of equal value ( isoline ), the choropleth and shading, the dot method, class intervals, and flow lines . As the main cartographic tools for depicting thematic data had already been developed, much of Dent s career was spent researching and examining ways in which the cartographer could better communicate with the map reader.
24.
The " Annales " author commends the attractive music, " as one might expect of the composer of " Isoline " and " La Basoche " ", of which highlights cited included couplets for Fug�re and the air of the queen of the night in the first act; a drinking song in the second, and several moments in the third act.
25.
In January 1889, during his dementia, Nietzsche drafted " dedications " of " Dionysos-Dithyramben " to Catulle Mend�s, a French poet, critic and novelist, an exemplar of Parnassianism, and author of the libretto to the operetta " Isoline " composed by Andr?Messager, which made its debut at the Th��tre de la Renaissance in Paris on 26 December 1888, in which he states his high regard for Mend�s, calling him " des gr�ssten und ersten Satyr, der heute lebt und nicht nur heute ".
26.
His attempt at a more serious opera, " Le bourgeois de Calais " ( 1888 ), with " a boring historical plot, bad lyrics, and a banal score " Messager followed this with a musical fairy tale " Isoline " ( 1888 ), which was slightly better received, and a three-act operetta, " Le mari de la reine " ( The Queen's Husband, 1889 ), which failed, although Messager thought it " the best of my flops . " Also in the 1880s, Messager published some song cycles, and " sung waltzes ".