Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1872 - 455 Seiten |
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Seite viii
... Pyramid , Area of the Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , Volume of a Prism , PAGE . 120 120 121 ... 122 122 123 124 124 125 126 127 128 ..... 132 Volume of a Pyramid ...
... Pyramid , Area of the Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , Volume of a Prism , PAGE . 120 120 121 ... 122 122 123 124 124 125 126 127 128 ..... 132 Volume of a Pyramid ...
Seite 179
... pyramid . The triangles taken together make up the lateral or convex surface of the pyramid ; the lines in which the lateral faces meet , are called the lateral edges of the pyramid . 9. Pyramids are named from the number of sides of ...
... pyramid . The triangles taken together make up the lateral or convex surface of the pyramid ; the lines in which the lateral faces meet , are called the lateral edges of the pyramid . 9. Pyramids are named from the number of sides of ...
Seite 180
... pyramid . 12 The SLANT HEIGHT of a right pyramid , is the per- pendicular distance from the vertex to any side of the base . 13. A TRUNCATED PYRAMID is that portion of a pyramid included between the base and any plane which cuts the ...
... pyramid . 12 The SLANT HEIGHT of a right pyramid , is the per- pendicular distance from the vertex to any side of the base . 13. A TRUNCATED PYRAMID is that portion of a pyramid included between the base and any plane which cuts the ...
Seite 182
... pyramid be cut by a plane parallel to the base ' 1o . The edges and the altitude will be divided proportionally : 2 ° . The section will be a polygon similar to the base . Let the pyramid S - ABCDE , whose altitude is SO , be cut by the ...
... pyramid be cut by a plane parallel to the base ' 1o . The edges and the altitude will be divided proportionally : 2 ° . The section will be a polygon similar to the base . Let the pyramid S - ABCDE , whose altitude is SO , be cut by the ...
Seite 183
... pyramids S - ABCDE , and S - XYZ , having a common vertex S , and their bases in the same plane , be cut by a plane abc , parallel to the plane of their bases , the sections will be to each other as the bases . For , the polygons abcd ...
... pyramids S - ABCDE , and S - XYZ , having a common vertex S , and their bases in the same plane , be cut by a plane abc , parallel to the plane of their bases , the sections will be to each other as the bases . For , the polygons abcd ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
AB² ABCD AC² adjacent angles altitude apothem Applying logarithms centre chord circle circumference circumscribed complement cone consequently convex surface cosec cosine Cotang cylinder decimal denote diameter difference distance divided draw drawn edges equal to AC Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection isosceles less Let ABC log sin lower base lune mantissa number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polar triangle pole polyedral angle polyedron prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium segment semi-circumference side BC 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 triedral angle upper base vertex vertices volume whence
Beliebte Passagen
Seite 101 - The area of a parallelogram is equal to the product of its base and altitude.
Seite 92 - PROBLEM XV. To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the angles A and B, by the lines AO and BO, meeting in the point 0 (Prob.
Seite 48 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 45 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Seite 106 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Seite 33 - THEOREM. If two angles of a triangle are equal, the sides opposite to them are also equal, and consequently, the triangle is isosceles.
Seite 18 - A SCALENE TRIANGLE is one which has no two of its sides equal ; as the triangle GH I.
Seite 30 - If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the triangle which has the greater included angle.
Seite 8 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 156 - DE, are like parts of the circumferences to which they belong, and similar sectors, as A CH and 'D OE, are like parts of the circles to which they belong : hence, similar arcs are to each other as their radii, and similar sectors are to each other as the squares of their radii.