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" I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines... "
Principles of geometry, mensuration, trigonometry, land-surveying, and ... - Page 110
by Thomas Tate (mathematical master.) - 1848
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School Arithmetics: Book One-three, Book 3

George Albert Wentworth, David Eugene Smith - Arithmetic - 1920 - 380 pages
...the height. For example, if the base is 3 ft. and the height 2 ft., we have 2 x 3 sq. ft. = 6 sq. ft. The area of a parallelogram is equal to the product of the base and the height. For example, if the base is 2.4 in. and the height 2 in., we have 2 x 2.4 sq....
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The Iroquois Arithmetics: For School and Life, Book 3

Harry De Witt De Groat, Sidney Grant Firman, William A. Smith - Arithmetic - 1926 - 368 pages
...the length of one side. 2. The area of a rectangle equals the product of the length and the width. 4. The area of a parallelogram is equal to the product of the base and the height. 5. The area of a triangle is equal to one-half the product of the base and the...
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Teaching Arithmetic in the Intermediate Grades

Robert Lee Morton - Arithmetic - 1927 - 374 pages
...a triangle is equal to one-half of the product of its base by its altitude. 16. How would you show that the area of a parallelogram is equal to the product of its base by its altitude? What is the altitude of an oblique parallelogram? 17. When would you teach...
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Examination Questions in Mathematics: Forth Series, 1916-1920

College Entrance Examination Board - Mathematics - 1920 - 108 pages
...10. Prove that two triangles are similar if their homologous sides are in proportion. *11. a) Prove that the area of a parallelogram is equal to the product of its base by its altitude. b) Construct a parallelogram whose area is 12 square inches, and having its...
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Annual Meeting: Proceedings, Constitution, List of Active Members, and Addresses

American Institute of Instruction - 1891 - 332 pages
...to lead a child to find out for himself than to tell him. The old fashion of letting a child learn that the area of a parallelogram is equal to the product of the length by the breadth was an easy one for the teacher and gave the desired knowledge, but the gaining...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...parallelogram whose base has a length of 8 ft. and whose altitude has a length of 18 in. Solution; The area of a parallelogram is equal to the product of the length of any base and the length of its corresponding altitude. To apply the above, both the base...
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Stereology and Stochastic Geometry

John E. Hilliard, Lawrence Lawson - Computers - 2003 - 512 pages
...figure to indicate the angles and side lengths. The sides have the same lengths as lines AA and BB. The area of a parallelogram is equal to the product of the lengths of its sides times the sine of the included angle. This area is proportional to the probability...
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The Math We Need to Know and Do in Grades 6 9: Concepts, Skills, Standards ...

Pearl Gold Solomon - Education - 2007 - 336 pages
...measure these areas. For example, by dividing a parallelogram into squares and triangles, we can prove that the area of a parallelogram is equal to the product of its base times its altitude (height). Discover the Formula — Area of a Parallelogram Draw a parallelogram...
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Locomotive Firemen's Magazine, Volume 34

1903 - 886 pages
...ft. X or 12 ft. X 514 ft. = 63 sq. ft.) j ft., 5 A 9 / k J FIG. 20.-AREAS OF TRIANGLES. Prop. XX. — The area of a parallelogram is equal to the product of the altitude multiplied by the base. (In Fig. 21 suppose the altitude k J of the rhomboid ghij to be 10...
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