Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page 97
... ALTITUDE OF A TRIANGLE is the perpendicular distance from the vertex of any angle to the opposite side , or the ... base of the triangle . 5. The ALTITUDE OF A PARALLELOGRAM is the perpen- dicular BOOK IV.
... ALTITUDE OF A TRIANGLE is the perpendicular distance from the vertex of any angle to the opposite side , or the ... base of the triangle . 5. The ALTITUDE OF A PARALLELOGRAM is the perpen- dicular BOOK IV.
Page 98
... ALTITUDE OF A PARALLELOGRAM is the perpen- dicular distance between two opposite sides . These sides are called bases ; one the upper , and the other , the lower base . 6. The ALTITUDE OF A TRAPEZOID is the perpendicular distance ...
... ALTITUDE OF A PARALLELOGRAM is the perpen- dicular distance between two opposite sides . These sides are called bases ; one the upper , and the other , the lower base . 6. The ALTITUDE OF A TRAPEZOID is the perpendicular distance ...
Page 99
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal altitudes : then the triangle is equal to one half of the parallelogram . For , let them be SO placed that that the base of the ...
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal altitudes : then the triangle is equal to one half of the parallelogram . For , let them be SO placed that that the base of the ...
Page 103
... base and altitude ; that is , the number of superficial units in the rectangle , is equal to the product of the number of linear units in its base by the number of linear units in its altitude . The product of two lines is sometimes ...
... base and altitude ; that is , the number of superficial units in the rectangle , is equal to the product of the number of linear units in its base by the number of linear units in its altitude . The product of two lines is sometimes ...
Page 104
... base and altitude . Let ABC be a triangle , BC its base , and AD its altitude : then its area is equal to BC × AD . E For , from C , draw CE parallel to BA , and from A , draw AE parallel to BC . The area of the parallelogram BCEA is BC ...
... base and altitude . Let ABC be a triangle , BC its base , and AD its altitude : then its area is equal to BC × AD . E For , from C , draw CE parallel to BA , and from A , draw AE parallel to BC . The area of the parallelogram BCEA is BC ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence