Plane and solid geometry . B. X / Given line AB and Z. M. To construct, with AB aschord, a segment of a circlecapable of containing Z. M, I. Construction 1. Construct an Z, as ZCDE, equal to the given , § 125. 2. With H, any convenient point on DE, as center and withAB as radius, describe an arc cutting DC 2it some point, as K, 3. Draw HK. 4. Circumscribe a circle about Akdh. § 323. 5. Segment KDH is the segment capable of containing II. The proof and discussion are left to the student. 375. Questions. Without moving AB^ can you construct a A withAB as base and a vertex Z = Z M? What i


Plane and solid geometry . B. X / Given line AB and Z. M. To construct, with AB aschord, a segment of a circlecapable of containing Z. M, I. Construction 1. Construct an Z, as ZCDE, equal to the given , § 125. 2. With H, any convenient point on DE, as center and withAB as radius, describe an arc cutting DC 2it some point, as K, 3. Draw HK. 4. Circumscribe a circle about Akdh. § 323. 5. Segment KDH is the segment capable of containing II. The proof and discussion are left to the student. 375. Questions. Without moving AB^ can you construct a A withAB as base and a vertex Z = Z M? What is the sum of the base A ? 376. Cor. The locus of the vertices of all triangles hav-ing a giveiv hase and a given angle at their vertices is thearc luhich forms, with the given hase, a segment capableof containing the given angle. Ex. 500. On a given line construct a segment that shall contain anangle of 105^ ; of 135°. Ex. 501. Find the locus of the vertices of all triangles having a com-mon base 2 inches long and having t


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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912