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" K. The area of each trapezoid is equal to one-half the sum of its bases multiplied by its altitude, and the sum of their areas together with the area of the triangle is equivalent to the area of the polygon ABCDE F. In Fig. 318 a base line HP\s, drawn,... "
Plane Trigonometry - Página 31
1906 - 188 páginas
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 páginas
...Schol. If the quadrilateral is a trapezium, or has two of its sides parallel, its area is equal to half the sum of its parallel sides, multiplied by the perpendicular distance between them. Ex. In a trapezium, whose parallel sides are 20 and 8 ft., respectively, and the perpendicular distance...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 254 páginas
...be 300 square feet. 17. What is the area of a trapezoid ? The area of a trapezoid is equal to half the sum of its parallel sides multiplied by the perpendicular distance between them. Thus, area AB CD = i(AB + CD) x CF. 18. With what is land generally measured? Surveyors, in measuring...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 páginas
...the area of any plane triangle, etc. THEOREM XXXIV. The area of a trapezoid is measured by one half the sum of its parallel sides multiplied by the perpendicular distance between them. Let ABDQ represent any trapezoil ; draw the diagonal BC, dividing it into two triangles, ABC and BCD...
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The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ...

Albert Newton Raub - 1877 - 348 páginas
...1. The area of any parallelogram is equal to the product of its base and altitude. 2. The area of a trapezoid is equal to one-half the sum of its parallel sides, multiplied by its altitude. 1. What is the area of a room 15 ft. long, 9 ft. 6 in. wide ? Ans. 1Щ sq. ft. 2. A board...
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Journal of the Board of Education of the City of New York

New York (N.Y.). Board of Education - 1885 - 990 páginas
...parallels, the triangle is equivalent to one half the parallelogram. The area of a trapezoid is measured by one-half the sum of its parallel sides multiplied by the perpendicular distance between them. The square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the...
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The Elements of Geometry

Webster Wells - 1886 - 392 páginas
...trapezoids Ab, Be, etc., whose common altitude is Hh, the slant height of the frustum. But the area of a trapezoid is equal to one-half the sum of its parallel sides multiplied by its altitude (§ 331). PROPOSITION XIX. THEOREM. 564. A triangular pyramid is equivalent to one-third...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 páginas
...twice the product of one of these sides and the projection of the other side upon it. 7. The area of a trapezoid is equal to one-half the sum of its parallel sides multiplied by its altitude. HARVARD COLLEGE, June, 1892. In solving problems use for ir the approximate value 3}....
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A Textbook on Surveying and Mapping ...: Arithmetic, formulas, geometry and ...

International Correspondence Schools - 1898 - 518 páginas
...KH, and EL are drawn perpendicular to AH, dividing the figure into trapezoids and the triangle HD K. The area of each trapezoid is equal to one-half the sum of its bases multiplied by its altitude, and the sum of their areas together with the area of the triangle...
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The Elements of Civil Engineering: Prepared for Students of the ..., Volumen3

International Correspondence Schools - 1899 - 798 páginas
...and EL are drawn perpendicular to A 77, dividing the figure into trapezoids and the triangle HD K. The area of each trapezoid is equal to one-half the sum of its bases multiplied by its altitude, and the sum of their areas together with the area of the triangle...
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Surveying, land surveying, mapping, railroad location, railroad construction ...

International Correspondence Schools - 1899 - 814 páginas
...and EL are drawn perpendicular to A //, dividing the figure into trapezoids and -the triangle // D K. The area of each trapezoid is equal to one-half the sum of its bases multiplied by its altitude, and the sum of their areas together with the area of the triangle...
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