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" ... area, equal to the rectangle of the same base and altitude ; for, if the oblique or triangular portion be cut from one end and added to the other, the figure becomes a rectangle ; and as the area of a rectangle is equal to the product of the number... "
Practical Work in General Physics for Use in Schools and Colleges - Page 18
by Walter George Woollcombe - 1894 - 83 pages
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...Therefore ABC D=ABEF, and the area of ABCD==AB xB E, this being the measure of ABEF (100). 102. — The area of any triangle is equal to half the product of its base by its altitude — . By the altitude of a triangle we mean a perpendicular let fall from one of the...
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A Treatise of Mechanics, Volume 2

Siméon-Denis Poisson - Mechanics - 1842 - 770 pages
...sides CM and CN of the triangle MNC, so that we may have BC — a, AC = b, AB = c, CM — x, CN =. y. The area of any triangle is equal to half the product of two of its sides and of the sine of the included angle ; hence we shall have ABC = $ ab sine, MNC =...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - Mechanics - 1867 - 372 pages
...which negative ; but when we have made a choice we must keep to it during that investigation. 74. Since the area of any triangle is equal to half the product of the base into the altitude, the moment of a force may bo geometrically represented by twice the area...
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Mechanics for beginners

Isaac Todhunter - Mechanics - 1867 - 368 pages
...which negative; but when we have made a choice we must keep to it during that investigation. 74. Since the area of any triangle is equal to half the product of the base into the altitude, the moment of a force may be geometrically represented by twice the area...
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Transactions of the Literary and Historical Society of Quebec, Parts 8-12

Literary and Historical Society of Quebec - Québec (Province) - 1871 - 962 pages
...rectangle is equal to the product of the number of units in its base and altitude, it follows that the area of any triangle is equal to half the product of its length and breadth. This, then, may be adopted as an element into which all plane figures can be divided,...
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Transactions, Issues 8-10

Literary and Historical Society of Quebec - Canada - 1871 - 524 pages
...rectangle is equal to the product of the number of units in its base and altitude, it follows that the area of any triangle is equal to half the product of its length and breadth. This, then, may be adopted as an element into which all plane figures can be divided,...
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Geometry, mensuration and the stereometrical tableau: lecture read before ...

Charles P. Florent Baillairgé - Geometry - 1873 - 660 pages
...rectangle is equal to the product of the number of units in its base and altitude, it follows that the area of any triangle is equal to half the product of its length and breadth. This, then, may be adopted as an element into which all plane figures can be divided,...
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Hints to young architects

George Wightwick - 1875 - 394 pages
...opposite moments about a given point are equal. Another interesting property may be noticed : since the area of any triangle is equal to half the product of the base into the altitude, the moment of a force may be geometrically represented by twice the area...
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...areas are to each other as their altitudes; the altitudes being equal, their areas are as their bases. The area of any triangle is equal to half the product of the perimeter by the radius of the inscribed circle. GENERAL RULES. 1. To find the area of a parallelogram....
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The Competitor, Volumes 1-2

1882 - 480 pages
...(a+/3) = sin1 a+sin1 ft— 2 sin a sin ft sin (a+/3) •.• -{cos(a-/3)-cos(ft+/3)}=-2Bina8in/3. QED 4. The area of any triangle is equal to half the product of two of its sides into the natural sine «f their contained ingle. Area of ABC=a~ sin C a _c ^- 13'...
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