Elements of Geometry and Trigonometry |
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Page iv
... volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in ...
... volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in ...
Page viii
... Volume of a Prism , Volume of a Pyramid , Volume of the Frustum of a Pyramid , Volume of a Sphere , Volume of a Wedge , .. Volume of a Prismoid , ... Volumes of Regular Polyedrons , .... ..... PAGE . 120 120 ...... 121 ...... 122 ...
... Volume of a Prism , Volume of a Pyramid , Volume of the Frustum of a Pyramid , Volume of a Sphere , Volume of a Wedge , .. Volume of a Prismoid , ... Volumes of Regular Polyedrons , .... ..... PAGE . 120 120 ...... 121 ...... 122 ...
Page 9
... Volume , and Units of Angular Measure ; and consequently , four species of quantity , viz .: LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . 3. GEOMETRY is that branch of Mathematics which treats of ...
... Volume , and Units of Angular Measure ; and consequently , four species of quantity , viz .: LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . 3. GEOMETRY is that branch of Mathematics which treats of ...
Page 178
... volume bounded by polygons . The bounding polygons are called faces of the polyedron ; the lines in which the polyedrons meet , are called edges of the polyedron ; the points in which the edges meet , are called vertices of the ...
... volume bounded by polygons . The bounding polygons are called faces of the polyedron ; the lines in which the polyedrons meet , are called edges of the polyedron ; the points in which the edges meet , are called vertices of the ...
Page 180
... edges , or angles , are called homologous . 17. A DIAGONAL of a polyedron , is a straight line join- ing the vertices of two polyedral angles not in the same face . 18. The VOLUME OF A POLYEDRON is its numerical value 180 GEOMETRY .
... edges , or angles , are called homologous . 17. A DIAGONAL of a polyedron , is a straight line join- ing the vertices of two polyedral angles not in the same face . 18. The VOLUME OF A POLYEDRON is its numerical value 180 GEOMETRY .
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cos²a cosec cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment semi-circumference similar sine six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...