| Charles Davies - 1850 - 238 σελίδες
...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 - 1857 - 242 σελίδες
...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 - 1858 - 256 σελίδες
...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 - 1883 - 488 σελίδες
...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 σελίδες
...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 - 1877 - 416 σελίδες
...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 - 1877 - 458 σελίδες
...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 - 1879 - 282 σελίδες
...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... | |
| Albert Taylor Bledsoe, Sophia M'Ilvaine Bledsoe Herrick - 1872 - 496 σελίδες
...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,... | |
| George Albert Wentworth - 1879 - 262 σελίδες
...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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