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" If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, show that a parallelogram is formed whose perimeter is equal to the sum of the equal sides of the triangle. "
Junior High School Mathematics ... - Page 35
by Edson Homer Taylor, Fiske Allen - 1923
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Ellen: Or, Whisperings of an Old Pine, Volume 1

Joseph Battell - Force and energy - 1903 - 722 pages
...lorīg would reach more than a foot, or that one ten inches long could not reach a foot. ' If from a point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed, the sum of whose four sides is the same wherever the point is situated (and...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...triangle to the three vertices is less than the perimeter, hut greater than half the perimeter. Ex. 64. If from any point in the base of an • isosceles triangle parallels to the legs are drawn, a parallelogram is formed whose perimeter is constant, being equal to the sum E of...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...If two angles of a quadrilateral are supplementary, the other two are supplementary. [Use 165.] 110. If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, the sum of the sides of the parallelogram formed will be equal to the sum of...
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Ohio Educational Monthly and the National Teacher, Volume 55

Education - 1906 - 828 pages
...land three times as long as it is wide, and containing 16 A., 140 sq. rd. ? GEOMETRY. 1. Demonstrate: If from any point in the base of an isosceles triangle parallels to the legs are drawn, show that a parallelogram is formed whose perimeter is constant, and equal to the sum...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...MPN II to BC. By Ex. 200, PH + PK = AE. . -. PH -f PK + PL = AD, an altitude and .-. a constant.] 203 If from any point in the base of an isosceles triangle parallels are drawn to the legs, the perimeter of the parallelogram thus formed is constant. [DP = DB, and EP...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...to BC. By Ex. 200, PH -f PK = AE. . •. PH + PK + PL = AD, an altitude and . •. a constant. ] 203 If from any point in the base of an isosceles triangle parallels are drawn to the legs, the perimeter of the parallelogram thus formed is constant. [DP — DB, and...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...If two angles of a quadrilateral are supplementary, the other two are supplementary. [Use 165.] 110. If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, the sum of the sides of the parallelogram formed will be equal to the sum of...
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...line and side ; prove the sum of the three Js equals this altitude and hence equals a constant.] 34. If from any point in the base of an isosceles triangle parallels to the equal sides are drawn, the sum of the sides of the parallelogram formed is equal to the sum of the...
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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...146. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. Ex. 147. If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, the perimeter of the parallelogram formed is equal to the sum of the equal sides...
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Plane Geometry

John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...intersecting at 0. Draw OE, OF, OG, OH, and prove EOG and FOH straight A" FB lines and hence diagonals. 10. If from any point in the base of an isosceles triangle...the same perimeter for all positions of the point. 11. ABCD is a square. On the diagonal BD, BM is taken equal to BC, and MN is drawn perpendicular toBD....
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