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A treatise on special or elementary geometry (1877)

Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 148

An illustration from A treatise on special or elementary geometry, 1877, leaf 148
EQUALITY OF TRIANGLES. 127 PROPOSITION IX. 292,17ieore^n.—Tiuo triangles wliich have the three sides ofthe one equal to the three sides of the other, each to each, are equal. … Dem.—Let ABC and DEF be two triangles, in whicli AB = DE, AC = DF,and BC = EF; then are tlietriangles equal. For, place the triangleABC in the position (&)^ andthe side AB in its equal DE,so that the other equal sidesshall be adjacent, as AC ad-jacent to DF, and BC to EF.Draw FC. Now, since DC=…

Geometry · Trigonometry

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