 | William Chauvenet - Geometry - 1871 - 380 pages
...of a parallelogram to its four vertices, are together equivalent to one-half the parallelogram. 229. The triangle formed by joining the middle point of...trapezoid to the extremities of the opposite side, is equivalent to one-half the trapezoid. 230. The figure formed by joining consecutively the four middle... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...opposite triangles thus formed will be equal to half the area of the parallelogram. 11. If a triangle be formed by joining the middle point of one of the non-parallel...trapezoid to the extremities of the opposite side, prove that the area of the. triangle will be half the area of the trapezoid. 12. If a point P be taken... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...of a parallelogram to its four vertices, are together equivalent to one-half the parallelogram. 229. The triangle formed by joining the middle point of...trapezoid to the extremities of the opposite side, is equivalent to one-half the trapezoid. 230. The figure formed by joining consecutively the four middle... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...a triangle is parallel to the third side and equal to its half. (?) 2. The straight line drawn from the middle point of one of the non-parallel sides of a trapezoid, parallel to the bases, and terminating in the otlier non-parallel side, bisects that side, and if equal... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...vertices, two opposite triangles thus formed are together equal to one-half the parallelogram. EXEUCISE 2. The triangle formed by joining the middle point of one of the non-parallel sides of a trapczoid to the extremities of the opposite side is equal to one-half the trapczoid. EXEUCISE 3. Given... | |
 | George Bruce Halsted - Measurement - 1881 - 258 pages
...sides. bi = 63 meters ; b2 — 37'8 meters. Ans. 189. The triangle formed by joining the mid-point of one of the non-parallel sides of a trapezoid to the extremities of the opposite side is equivalent to half the trapezoid. 190. The area of a trapezoid is equal to half the product of one... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...consecutive sides of a quadrilateral has half the area of the quadrilateral (§ 136). THEOREM 7. If through the middle point of one of the non-parallel sides of a trapezoid we draw a line parallel to the opposite side, and complete the parallelogram, the area of the parallelogram... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...line through the intersection of th» diagonals of a parallelogram bisects the para Hell ogram. 13. The triangle formed by joining the middle point of one of the non-parallel sides of a trapezium to the extremities of the opposite side is equal to half the trapezium. PEOP. XXXIX.— THEOREM.... | |
 | Euclides - 1885 - 340 pages
...right line through the intersection of the diagonals of a parallelogram bisects the parallellogram. 13. The triangle formed by joining the middle point of one of the non-parallel sides of a trapezium to the extremities of the opposite side is equal to half the trapezium. PEOP. XXXIX.— THEOREM.... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...interior of a parallelogram to its four vertices are together equivalent to one-half the parallelogram. 3. The triangle formed by joining the middle point of...trapezoid to the extremities of the opposite side is equivalent to one-half the trapezoid. (v. I., Exercise 24.) 4. The figure formed by joining consecutively... | |
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The triangle formed by joining the middle point of one of the non-parallel sides of a trapezoid to the extremities of the opposite side is equivalent to one-half the trapezoid. 
