| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| |