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" The area of a triangle is equal to half the product of its base by its altitude. "
A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ... - Page 218
by George Leonard (Jr.) - 1839 - 347 pages
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...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 vertices...
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An Elementary Treatise on Plane Trigonometry: With Its Applications to ...

Benjamin Peirce - Plane trigonometry - 1835 - 110 pages
...known. Solution. Let ABC (fig. 2.) be the triangle to be measured, and G the given side. The area of the triangle is equal to half the product of its base by its altitude, or Area of AB C = £ bp. But, by (203), sin. b : sin. B : : c : b, vrhence (391) sin. Fig....
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...side BA or the side AC, opposite the right angle, is called the hypothenuse.' The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base of a triangle is 40 yards and the perpendicular 20 yards : what is...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 356 pages
...called the radius. The circumference of a circle has been found by calculation to be about 3.14159 times the diameter ; for rough calculations it may...Half the product of the circumference by the radius. LESSON 169. 1 . How many square feet are there in a house lot 51 ft. How do we find the surface of...
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 352 pages
...called the radius. The circumference of a circle has been found by calculation to be about 3.14159 times the diameter ; for rough calculations it may...equal to Half the product of the circumference by tfie radius. LESSON 169. 1. How many square feet are there in a house lot 51 ft. How do we find the...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...side BA or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base of a triangle is 40 yards and the perpen dicular 20 yards : what is...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and с the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = i bp. (273) But, by (130), sin. С : sin. В : : с : Ь, whence . с sin....
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and c the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = £bp. (273) But, by (130), sin. C : sin. B : : c : b, whence _ c sin. B...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...side BC, or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base, AB, of a triangle is 40 yards, and the perpendicular, CD, 20 yards...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...therefore the area of the parallelogram ABCD is equal to AB X AF. PROPOSITION VI. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. For, complete the parallelogram ABCE. The triangle ABC is half of the parallelo- ^ gram ABCE...
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