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" To find the area of an irregular polygon. RULE. Draw diagonals dividing the polygon into triangles, and find the sum of the areas of these triangles. "
Elements of Plane and Spherical Trigonometry - Page 59
by Elias Loomis - 1865 - 150 pages
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The shipwright's vade-mecum [by D. Steel].

David Steel - 1805 - 392 pages
...sum of the two perpendiculars 7-J-5, produces 84 square feet, the area of the trapezium. PROBLEM 6. To find the Area of an irregular Polygon. RULE. Draw diagonals dividing the figure into trapeziums and triangles. Then find the areas of alt these separately, and their sum will...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...diagonal is 65 feet, and the two perpendiculars let fall on it 28 and 33J feet ? Ans. 222T'5. PROBLEM V. To find the area of an irregular polygon. RULE. — Draw diagonals dividing the proposed polygon into trapezoids and triangles. Then find the areas of these figures separately, and...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...between those sides 8 ft. 6 in., what is the superficial content? Ans. 142 ft. 4i inches. PROBLEM VIII. To find the area of an irregular polygon. RULE. — Draw diagonals dividing the figure into quadrilaterals and triangles. Then find the areas of these separately, and add them together...
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...area of a trapezoid. RULE. Multiply half the sum of the parallel sides into their per . pendicular distance. For demonstration, see Geometry, Prop. 7,...and 28 feet ? Ans., 6426 feet. Ex. 2. In the polygon ABODE, there are given EC =205, EB-242, AF=65, CG-^114, and DH=110, to find the area. (89.) If the...
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Rudimentary treatise on mensuration and measuring

Thomas Baker (C.E.) - 1865 - 174 pages
...diagonal AC = 4 1 7y feet ; required the area in square yards. Ans. 864 1£ square yards. PROBLEM V. To find the area of an irregular polygon. RULE. — Draw diagonals dividing the figure into trapeziums and triangles ; then find the areas of all these separately, and add them together...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1886 - 436 pages
...trapezoid whose parallel sides are 678 and 987 feet, and altitude 524 feet ? Ans. PKOBLEM IV. 105. To find the area of an irregular polygon. RULE. Draw...diagonals dividing the polygon into triangles, and find tlie sum of the areas of these triangles. Ex. 1. What is the area of a quadrilateral, one of whose...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1895 - 1234 pages
...named from the number of their sides and angles. To find i In- area оГап Irregular polygon.— Draw diagonals dividing the polygon into triangles,...and find the sum of the areas of these triangles. To find the area of a regular polygon: Ui !.!•:. — Multiply the length of a side by the perpendicular...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1902 - 1204 pages
...are named from the number of their sides and angles. To find the area or an Irregular polygon. — Draw diagonals dividing the polygon into triangles,...and find the sum of the areas of these triangles. To find the area of a regular polygon : RULE.— Multiply the length of a side by the perpendicular...
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The Mechanical Engineer's Pocket-book: A Reference-book of Rules, Tables ...

William Kent - Mechanical engineering - 1910 - 1620 pages
...number of their sides and angles. To rind the area of an Irregular polygon. — Draw diagonals diri the polygon into triangles, and find the sum of the areas of these '-—• To ii nl the area of a regular poly Koni Rri.E. — Multiply the length of a side by the perpendicular...
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A Handbook for Cane-sugar Manufacturers and Their Chemists

Guilford Lawson Spencer - Sugar - 1917 - 626 pages
...or subtracted from half the base will give the divisions of it. Polygon: Area of irregular polygon; draw diagonals dividing the polygon into triangles and find the sum of the areas of these. Area of regular polygon: Area = (length of a side X perpendicular distance of side to center X number...
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