390 
gulorum talibus preeceptis comprehendi, que memoria retineri 
facile possunt.” Kepler then gives a synopsis of the sixteen 
eases of the solution of spherical right-angled triangles. 
Herwart writes on November 5, and says he had found that 
the triangles could be solved better by help of his table than 
by prosthapheresis, so that Kepler was quite right. He men- 
tions that he has not seen Vitichius. As it is usual to prefix a 
‘splendid title’ to books, that they may sell, he suggests the 
following, “Nova, exacta, certa et omnium facillima ratio 
Arithmetices, per quam numerus ex multiplicatione productus 
sine operatione multiplicationis per solam additionem, et 
quotiens ex divisione resultans absque operosis ambagibus 
divisionis per solam subtractionem cujuscunque, etiam maximz 
summe, etiam ab eo qui arithmetices non admodum sit gnarus, 
citius quam ulla alia ratione invenitur.” He then prays Kepler 
to send soon his advice as to how the table should be entitled. 
Not receiving an answer on December 2, he writes a short 
letter to Kepler again asking for a reply, and suggesting that 
perhaps it was not prudent ‘so speciosum titulum tantille rei 
zu pre figiren. But in the mean time a letter from Kepler 
had been received, and, writing on December 5, Herwart ex- 
plains that he does not expect an answer to his last letter, and 
that he understands that Kepler has no objection to the title, 
but thinks it ought to be shortened. He cannot understand 
the meaning of Kepler’s advice, ‘Greeca compositio imploranda, 
sed exercito (szc),’ and asks for an explanation. 
In the last letter of the correspondence, dated December 12, 
1608, Kepler explains that as the title seemed long, he had 
advised that it should be shortened by the composition of two 
Greek words as €pucurredas, puoxwvdvuvos, and as a suitable word 
did not occur to him he had suggested that some one practised 
in Greek should be consulted. But perhaps a good idea has 
occurred to himself. ZeicayOera apsOunrixyn. “Nosti enim, 
xXpewv avoxotas sic dici. Inest vocabulo et emphasis et pro- 
