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" The area of a triangle is equal to one half 'the product of its base and altitude. "
American Comprehensive Arithmetic - Page 273
by Middlesex Alfred Bailey - 1897 - 320 pages
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...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 the product of AB x CD. For,...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...equimultiples have (Prop. VIII., B. II.). PROPOSITION VI. THEOREM. I The area of a triangle is equal to half the product of its base by its altitude. Let ABC be any triangle, BC its base, and AD its altitude ; the area of the triangle ABC i* measured by half the...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...equimultiples have (Prop. VIII., B. II.). PROPOSITION VI. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. Let ABC be any triangle, BC its base, and AD its altitude ; the area of the triangle ABC is measured by half the...
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Annual Report of the Aeronautical Society of Great Britain

Aeronautical Society of Great Britain - Aeronautics - 1883 - 494 pages
...base b and altitude a be rotated about its base, the resistance which it experiences is JB. But the area of a triangle is equal to one half the product of its base on altitude, and coasequently that spoken of has only •£ the area of the rectangle, therefore, suppose...
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...BxC- hat is, as ' A : BAreas of Triangles and TrapozoidsTHEOREM IXThe 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 the product of AB x CDFor,...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...by their altitudes. PROPOSITION V. THEOREM. 324. The area of a triangle is equal to one_half of the product of its base by its altitude. Let ABC be a triangle, AB its base, and CD its altitude. We are to prove the area oftheAABC = %ABX CD. From C draw CH II to...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...equimultiples have (B. II, Pr. 10). PROPOSITION VI. THEOREM. . - • The area of a triangle is equal to half the product of its base by its altitude. Let ABC be any triangle, BC its base, and AD its altitude; the area of the triangle ABC is measured by half the...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...altitude. For it is equal to a rectangle of the same base and altitude (I. 33). Corollary 2.—The area of a triangle is equal to one half the product of its base and altitude. For a triangle is one half a rectangle of the same base and altitude (I. 35, Cor.). Proposition...
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The Southern Review, Volumes 10-11

Albert Taylor Bledsoe, Sophia M'Ilvaine Bledsoe Herrick - Reconstruction (U.S. history, 1865-1877) - 1872 - 496 pages
...greatest term taken as many times as there are terms in the series. Hence the triangle is equal to half the product of its base by its altitude. Let ABC be a parabolic segment, bounded by the parabola ABC, and the right line, AC, * perpendicular to its axis,...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...by their altitudes. PROPOSITION V. THEOREM. 324. The area of a triangle is equal to one-half of the product of its base by its altitude. Let ABC be a triangle, AB its base, and CD its altitude. We are to prove the area oftheAA£C=%AJ)X CD. From C draw C II II...
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