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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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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...equal angles are reciprocally proportional, and .'* (Eucl. vi. 15.) the triangles ADE, FCD are equal. (11.) . If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides ; these together shall be equal to a perpendicular drawn from...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...base, and the lines joining the intersections of the sides and the angles opposite, will be equal. 11. If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides ; these together shall be equal to a perpendicular drawn from...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...perpendicular to AC, the angle DBC is equal to one-half the angle A (I. 73). 12. If from a variable point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed whose perimeter is constant. 13. If from a variable point P in the base of...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...perpendicular to AC, the angle DBC is equal to one-half the angled. (I. 73). 12. If from a variable point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed whose perimeter is constant. 13. If from a variable point P in the base of...
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Annual Report

Public schools - 1873
...<"> 9. Show when two (riedral angles are either equal or symmetrical. <*>> 10. If, from a variable point in the base of an isosceles triangle, parallels to the sides are drawn, a parallelogram is formed whose perimeter is constant. '• 5 jfunier Class. 1. Explain the method...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...the middle points of AD and B С respectively ; show that BE and DF will trisect the diagonal A C. 11. 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...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...bisects the side CH at K. .'. CK = ^7. .'. ^J7, Z^, and A'C are equal. That is, AC is trisected. Ex. 11. 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...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...middle points of AD and B С respectively ; show that BE and DF will trisect the diagonal A C. II. 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...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C. 11. 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...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...right.angled triangle is double the other, the hypothenuse is double the shortest side. 7. If through any point in the base of an isosceles triangle parallels to the equal sides are drawn, a parallelogram is formed whose perimeter equals the sum of the equal sides...
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