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" Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area. "
Mathematics: Compiled from the Best Authors and Intended to be the Text-book ... - Page 38
1801
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Cyclopedia of Architecture: Historical, Descriptive, Typographical ...

Robert Stuart - Architecture - 1854 - 1272 pages
...hypothenuse AC, when the square of 189 AB has been subtracted. 189 Prob. 4. To find the area of a trapezoid. Multiply the sum of the two parallel sides by the...between them, and half the product will be the area. Ex. In a trapezoid, the parallel sides are AB 7, and CD 12, and the perpendicular distance AP or CN...
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Principles of geometry, mensuration, trigonometry, land-surveying and levelling

Thomas Tate - Geometry - 1855 - 286 pages
...Theorem. From this theorem we derive the following rule for finding the area of a trapezoid. ROLE. Multiply the sum of the two parallel sides by the...between them, and half the product will be the area of the trapezoid. Ex. 1. Required the area of a trapezoid A BCD, when AB = 6 ft, DC = 4 ft., and the...
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A New System of Arithmetic, on an Improved Plan, Embracing the Rules of ...

Charles Guilford Burnham - 1857 - 342 pages
...What is the area ? Ans. 24 chains. Art. 271 . — To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be ilie area. 1. What is the area of a piece of land that is 30 chains long, 20...
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Burnham's Arithmetic, Revised: A New System of Arithmetic, on an Improved ...

Charles Guilford Burnham - Arithmetic - 1857 - 328 pages
...What is the area ? Ans. 24 chains. Art. 271. — To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides "by the perpendicular distance between them : the product will be the area. 1. What is the area of a piece of land that is 30 chains long, 20 chains...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 494 pages
...? Ans. 1131 ft. 2 in. 9 pa. PROBLEM To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area. Or, half the sum of the sides multiplied by their distance will give the area. EXAMPLES. 1 . What is...
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Commercial class book

Alfred Newsom Niblett - 1861 - 204 pages
...NB—In this figure the dotted lino shows the perpendicular height. RULES. Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area. Or, half the sum of the sides multiplied by their distance will give the area. PEOBLEM 5. To find the...
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A Manual of the Protracting Trigonometer: With Its Application to ...

Josiah Lyman - Protractors - 1862 - 92 pages
...area of the field. SECOND METHOD. (S9.) BY TRAPEZOIDS AND TRIANGLES. For a Trapezoid, the rule is, Multiply the sum of the two parallel sides by the perpendicular distance between them. Half the product will be the area. For a Triangle, Multiply the base by the perpendicular height, and...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1863 - 600 pages
...a trapezoid, or a quadrangle, two of whose opposite sides are parallel. — Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area. Required the area of the trapezoid ABCD, whose sides AB and DC are 321-51 and 214-24, and perpendicular...
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Useful Rules and Tables Relating to Mensuration, Engineering, Structures ...

William John Macquorn Rankine - Engineering - 1866 - 356 pages
...by a pair of parallel straight lines, and a pair of straight lines not parallel). Multiply the half sum of the two parallel sides by the perpendicular distance between them. 3. Triangle. RULE A. — Multiply the length of any one of the sides by one-half of its perpendicular...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...CE into half the sum of AB and CD. Thus we obtain the rule which will now be given. 161. To find the area of a trapezoid. RULE. Multiply the sum of the...between them, and half the product will be the area. 162. Examples : (1) The two parallel sides of a trapezoid are 2 feet 6 inches, and 3 feet 4 inches...
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