In addition to its numerous astronomical uses, the plane astrolabe found several applications in terrestrial surveying. It combined the specific functions of other instruments such as the surveyor's cross, portable quadrant, and radio latino.
Besides the customary graduated scale, the backs of certain astrolabes also carry the shadow square, so called because it shows the ratio between the length of a gnomon and the length of its shadow for different altitudes of the Sun.
With the alidade, also inserted into the back of the astrolabe, the observer can aim, for example, at the top of a tower. To calculate its height, when the distance between the observer and the base of the tower is known, the observer simply multiplies the distance by the ratio between the gnomon and the measured length of its shadow.
If the distance is not known, the observer can still measure the angle between the horizon and the summit of the tower and, moving away a few steps, repeat the measurement. Thanks to the properties of similar triangles, the observer can determine either the distance or the height of the tower by applying the rules of geometrical proportion.
Variants of the two systems were used to measure the depth of a well from its known width, or the distance of a remote point.
Inv. 1094
Gualterus Arsenius [attr.], Flemish, ca. 1570
Inv. 1095
Charles Whitwell, English, 1595
Inv. 1097
Johann Richter (Praetorius), Altdorf, 1591
Inv. 1098
Gerard Mercator [attr.], Duisburg, ca. 1570
Inv. 1103
Gualterus Arsenius, Louvain, 1572
Inv. 1100
Maker unknown, English?, late 16th cent.
Inv. 1289bis
Maker unknown, Florence?, 17th cent.
Inv. 660, 1092
Maker unknown, Tuscany?, 17th cent.
Inv. 1285
Maker unknown, Italian, 1568
Inv. 1105
Muhammad 'Ibn Abi'l Qasim 'Ibn Bakran, Arab, 1102-1103
Inv. 1113
Maker unknown, Arab, 10th cent.
Inv. 1109
Maker unknown, Arab, 14th cent. (?)
Inv. 1289
Vincenzo Viviani [attr.], Italian, 1645
Inv. 1282
Maker unknown, German, 16th cent.
Inv. 1106
Maker unknown, German?, 16th cent.
Inv. 1107
Maker unknown, French?, 13th cent.
Inv. 1114
Christoph Schissler, Augsburg, 1560
Inv. 1096
Hans Dorn [attr.], German, 1483
Inv. 1111
Georg Hartmann, Nuremberg, 1545