A method to measure any distance by triangulation
Sighting rods, a plumbed cane and crossed cords locate a distant tower across open ground
The sheet sets out a 'correct method to measure any distance'. A small diagram at upper right shows an inclined cane of 4 braccia planted in the ground with a thread hung from its top (a, d, n) to serve as a true sighting line. The large figure below triangulates the distance to a tower: seven straight canes and a thin cord are used to lay out the points K, q, p, S, g, t, f and m, striking two quarter-circle arcs whose intersection (point 5) fixes an auxiliary station, so that a small measured baseline scales up to the full hundred-braccia distance to the tower.
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Correct method to measure any distance
The heading announces a reliable geometric procedure for measuring any distance in the field, worked out below with rods, cords and circular arcs whose intersection fixes the unknown length by proportion.
Inclined cane with hanging thread as a sight (a, d, n)
Plant a 4-braccia cane in the ground, leaning as shown, and tie a thread a d from its upper end n; making a second one like it gives the true and correct sighting lines. The plumbed cane acts as a simple surveying sight.
Triangulating a distant tower with seven canes
Set q and m 12 braccia apart in line with the eye and the sighted point on the tower; halve a cord over the baseline to plant cane p at its midpoint, then strike quarter-circle arcs from m and q meeting at point 5. Moving 100 braccia along p-S to f, and squaring off with stakes K and g, transfers the small measured triangle to the full distance out to the tower.
