MUNICH.- The Alte Pinakothek welcomes a very special guest to its 175th anniversary: Johannes Vermeers Woman Holding a Balance from the National Gallery of Art in Washington. The exhibition is on display until June 16, 2011. In the early 19th century, this exquisite masterpiece once formed part of the exceptional private collection amassed by the first king of Bavaria, Max I Joseph (1756-1825). He focused almost exclusively on 17th-century Dutch masters, mostly landscapes and genre paintings. To these he added the works of contemporary painters in Munich who were inspired by such Old Masters. In 1826, one year after the death of Max Joseph, the private royal collection was sold at auction. Some exceptional works were acquired for the state collections; others found their way to the Alte Pinakothek via roundabout routes as part of Ludwig Is collec