Elements of Geometry and Trigonometry: From the Works of A.M. Legendre |
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Page 93
... ALTITUDE OF A TRIANGLE , is the perpendicular distance from the vertex of either an- gle to the opposite side , or ... base of the triangle . 5. The ALTITUDE OF A PARALLELOGRAM , is the perpen- BOOK IV Proportions of Figures-Measurement ...
... ALTITUDE OF A TRIANGLE , is the perpendicular distance from the vertex of either an- gle to the opposite side , or ... base of the triangle . 5. The ALTITUDE OF A PARALLELOGRAM , is the perpen- BOOK IV Proportions of Figures-Measurement ...
Page 94
... base . 6. The ALTITUDE OF A TRAPEZOID , is the perpendicular distance between its parallel sides . These sides are called bases ; one the upper , and the other , the lower base . 7. The AREA OF A SURFACE , is its numerical value ...
... base . 6. The ALTITUDE OF A TRAPEZOID , is the perpendicular distance between its parallel sides . These sides are called bases ; one the upper , and the other , the lower base . 7. The AREA OF A SURFACE , is its numerical value ...
Page 95
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal altitudes : then will the triangle be equal to one - half of the parallelogram . For , let them be so placed that the base of ...
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal altitudes : then will the triangle be equal to one - half of the parallelogram . For , let them be so placed that the base of ...
Page 99
... 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 . Scholium 2. The product of two lines is ...
... 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 . Scholium 2. The product of two lines is ...
Page 100
... base and altitude . Let ABC be a triangle , BC its base , and AD its of the triangle be equal to atitude : then will the area BC × AD . For , from C , draw CE paraller to BA , and from A , draw E parallel to CB . The area of the ...
... base and altitude . Let ABC be a triangle , BC its base , and AD its of the triangle be equal to atitude : then will the area BC × AD . For , from C , draw CE paraller to BA , and from A , draw E parallel to CB . The area of the ...
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Common terms and phrases
AB² ABCD adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed cone consequently convex surface cosec Cosine Cosine D Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area following RULE Formula frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC log cot log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle principle demonstrated prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar slant height solution sphere spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prism triedral angle upper base vertex volume whence write the following