An elementary treatise on geometry : simplified for beginners not versed in algebra . Solution. Let AB, AC,BC, be the three given sidesof the triangle. 1. Take any side, sayAB, and from A as a centre,with the radius AC, describean arc of a circle. X 2. From B, as a centre, with the radius BC, describeanother arc, cutting the first. 4. From the point of intersection C, draw the straightlines CA, CB ; the triangle ABC is the one required. The demonstration follows immediately from Query 4th, Sect. II. Problem XLIII. Two sides, and the angle includedby tJiem^ being givenj to construct the triangl
An elementary treatise on geometry : simplified for beginners not versed in algebra . Solution. Let AB, AC,BC, be the three given sidesof the triangle. 1. Take any side, sayAB, and from A as a centre,with the radius AC, describean arc of a circle. X 2. From B, as a centre, with the radius BC, describeanother arc, cutting the first. 4. From the point of intersection C, draw the straightlines CA, CB ; the triangle ABC is the one required. The demonstration follows immediately from Query 4th, Sect. II. Problem XLIII. Two sides, and the angle includedby tJiem^ being givenj to construct the triangle. AA. Solution. Let AB, AC, be the two given sides, andX the angle included by them. 1. Construct an angle equal to the angle x (ProblemVI); make one of the legs equal to the side AB, and theother to the side AC. 2. Join BC ; the triangle ABC is the one required. The demonstration follows from Query 1, Sect II. 184 GEOMETRY. Problem XLIV. One side and the two adjacentangles being given, to construct the triangle.
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