 | 1834 - 578 σελίδες
...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... | |
 | Charles Davies - 1838 - 292 σελίδες
...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... | |
 | Charles Davies - 1844 - 358 σελίδες
...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 :... | |
 | Charles Davies - 1847 - 368 σελίδες
...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... | |
 | Elias Loomis - 1849 - 252 σελίδες
...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- ^... | |
 | Charles Davies - 1850 - 238 σελίδες
...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... | |
 | Charles Davies - 1850 - 218 σελίδες
...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... | |
 | Charles Davies - 1850 - 412 σελίδες
...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... | |
 | Elias Loomis - 1851 - 296 σελίδες
...and the area equals fxy. If n=1, the figure becomes a triangle, and the area equals %xy; that is, the area of a triangle is equal to half the product of its base and perpendicular. Ex. 3. It is required to find the area of a circle. The equation of the circle, when... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...generally, are to each other- as the products of their bases and altitudes. PROPOSITION VI. THEOEEM. The area of a triangle is equal to half the product of its base and altitude. For, draw CE parallel to BA, and AE parallel to BC, completing the parallelogram BE. Then, the triangle... | |
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The area of a triangle is equal to half the product of its base by its altitude. 
