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" The area of a triangle is equal to half the product of its base by its altitude. "
Elementary Geometry, Plane and Solid: For Use in High Schools and Academies - Page 200
by Thomas Franklin Holgate - 1901 - 440 pages
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Library of Useful Knowledge: Natural philosophy, Volume 3

1834 - 578 pages
...Si t, being very small, differs insensibly from the straight line joining the points s, t ; and the area of a triangle is equal to half the product of its base, and the perpendicular from its vertex. Again, the angle t E s, being very small, the perpendicular from...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...The 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...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...The 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 :...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 44

Perry Fairfax Nursey - Industrial arts - 1846 - 536 pages
...bottomed vessel, ABD, has the same breadth and depth as А С С В, and has only half its capacity ; for the area of a triangle is half the area of a parallelogram upon the same base and between the same parallels ; and in the same manner it may be proved, arithmetically,...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 44

Industrial arts - 1846 - 544 pages
...sharp-bottomed vessel, ABD, has the same breadth and depth as ACCB, and has only half its capacity ; for the area of a triangle is half the area of a parallelogram upon the same base and between the same parallels ; and in the same manner it may be proved, arithmetically,...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...The 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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...Schol.); 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- ^...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...altitude, then they will be to each other, as GEOMETRY. Areas of Triangles and Trapezoids. THEOREM IX. The area of a triangle is equal to half the product of its base by its altitude. Let AE C be any triangle and CD its altitude : then will its area be equal to half...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...other, as A x C : BxC: that is, as A : B. GEOMETRY. Areta of Triangles and Trapezoids. THEOREM IX. The area of a triangle is equal to half the product of its base by its altitude. Let ABC be any triangle and CD its altitude : then will its area be equal to half...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1850 - 412 pages
...side BC, or the side AC, opposite the right angle, is called the hypothenuse. The area or contents of a triangle is equal to half the product of its base by its altitude (Bk. IV. Prop. VI).* EXAMPLES. 1. The base, AB, of a triangle is 50 yards, and the...
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