<s id="A18-1.30.01">[30] Let us now assume the supports <ab> and <gd> and let rest on them an evenly heavy and thick body, namely <ez>, which juts out beyond each of the supports.</s>
<s id="A18-1.30.02">We want to know how much of the load affects each of the supports.</s>
<s id="A18-1.30.03">Since we have proven that, when the load <az> rests on <gd> and <ab>, <gd> is affected by twofold more [of the share] of <gz> than <ab>; and if <ge> rests on <gd> and <ab>, <ab> [is affected] by twice [the amount] of <ae> more of the load, then the result is that that much more of the load falls on <gd> than on <ab>, as the surplus of the double of <gz> over the double of <ae> amounts to.</s>
<s id="A18-1.30.04">If now <gz> and <ae> are equal, then the weight falling on <gd> and <ab> is equal.</s>
<s id="A18-1.30.05">The greater, however, the distance becomes, the more of the surplus of the load falls to that support.</s>
<s id="A18-1.30.06">The above stated makes evident that when a crossbeam or wall that is evenly heavy and thick rests on pillars or supports and the distances between them are randomly different, we can learn on which supports falls a greater weight and how large the excess is.</s>
<s id="A18-1.30.07">If a crossbeam or anything else rests on the supports, we employ the same method.</s>
<s id="A18-1.30.08">If, further, people carry a beam on their shoulders or in a loop, some in the middle, some at its ends, and if the load juts out at one or both sides, then it will become in the same way evident to us, how much of the load comes to each of the bearers.</s>
