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" The area of a triangle is equal to half the product of the base and height. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 298
by Jeremiah Day - 1842 - 332 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...square AC, (Fig. 6,) is AB, that is, For the area is eoual to ABxBC. (Art. 513.) But AB=BC, therefore, 518. The area of a triangle is equal to half the product...the triangle ABG, (Fig. 7.) is equal to half AB into GHor its equal BC, that is, For the area of the parallelogram ABCD is (Art. 513.) And by Euc. 41, l,\...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...o=(Al^2. For the area is equal to AB xBC. (Art. 388.) But AB=BC, therefore, AB xBC=AB x AB=(AB)2. 393. The area of a triangle is equal to half the product of...equal to half AB into GH or its equal BC, that is, a=^ ABxBC. 239 triangle are upon the same base, and between the same parallels, the triangle is half...
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Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 pages
...find the area of a triangle, or a parallelogram, given two sides and the included angle. RULE. The area of a triangle is equal to half the product of the two given sides and the natural sine of the included angle. The area of a parallelogram is equal to...
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The Popular Educator, Volume 6

1855 - 424 pages
...is equal to А в X в с. But А в = в с, therefore, A r, x "<"•' = л. i: Хлв=(Ав)9. The area of a triangle is equal to half the product of...the base and height. Thus the area of the triangle ABO, fig. 7, is equal to half А в into о и or its equal в с, that il, O = ÍABX*C. For the area...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1859 - 422 pages
...is, a=AB3. For the area is equal to ABxBC. (Art. 587.) But AB=BC, therefore, ABxBC=ABxAB=AB\ 592. The area of a triangle is equal to half the product of...Thus the area of the triangle ABG, (Fig. 7,) is equal D IS" to half AB into GH or its equal EC, that is, Fig. 8. For the area of the parallelogram ABCD is...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...area BCD : : AE : BC. 4. To divide a given trapezoid into any number of equivalent trapezoids. 5. The area of a triangle is equal to half the product of the perimeter by the radius of the inscribed circle. 6. What is the radius of the circle inscribed in the...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...area BCD : : AE : BC. 4. To divide a given trapezoid into any number of equivalent trapezoids. 5. The area of a triangle is equal to half the product of the perimeter by the radius of the inscribed circle. 6. What is the radius of the circle inscribed in the...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 288 pages
...equivalent triangles. 4. To divide a given trapezoid into any number of equivalent trapezoids. 5. The area of a triangle is equal to half the product of the perimeter by the radius of the inscribed circle. 6. What is the radius of the circle inscribed in the...
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Course in Arithmetic: A Treatise in Three Parts, Complete in One Volume

Frederic William Bardwell - Arithmetic - 1878 - 416 pages
...product will express the area of the triangle. The same thing is often stated more briefly : " The area of a triangle is equal to half the product of the base multiplied into the altitude." To find the area of any trapezium, as ABCD (Fig. 1 3), it is necessary...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...and у « -. у г * These three definitions of variation may be illustrated by considering that the area of a triangle is equal to half the product of the base and the perpendicular from the Tertex on the base. If A, b, p denote the area, base, and perpendicular,...
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