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Title:  The compendious measurer: being a brief, yet comprehensive, treatise on mensuration and practical geometry. ... Adapted to the use of schools ... By Charles Hutton, ...
Author: Hutton, Charles, 1737-1823.
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Measure on the longest side, the distances AP, AQ, AB; and the perpendiculars PC, QD.2. By taking one or more of the Angles.Measure the diagonal AC (see the first fig. above), and the angles CAB, CAD, ACB, ACD.—Or measure the four sides, and any one of the angles as BAD.ThusOr thusAC 591AB 486CAB 37°20′BC 394CAD 41 15CD 410ACB 72 25DA 462ACD 54 40BAD 78°35′PROBLEM VI. To Survey any Field by the Chain only.Having set up marks at the corners, where necessary, of the proposed field ABCDEFG. Walk over the ground, and consider how it can best be divided into triangles and trapeziums; and measure them separately as in the last two problems. And in this way it will be proper to divide it into as few separate triangles, and as many trapeziums as may be, by drawing diagonals from cor∣ner to corner; and so as that all the perpendiculars may fall within the figure. Thus, the following figure is divided into the two trapeziums ABCG, GDEF, and the triangle GCD. Then, in the first, beginning at A, measure the diagonal AC, and the two perpendiculars Gm, Bn. Then the base GC, and the perpendicular Dq. Lastly the diagonal DF, and the two perpendicu∣lars PE, OG. All which measures write against the corresponding parts of a rough figure drawn to resemble the figure to be surveyed, or set them down in any other form you choose.0