PLANE AND SOLID GEOMETRY |
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Términos y frases comunes
ABCD altitude base become called centre chord circle circumference circumscribed coincide common cone consequently construction corresponding Cosine Cotang cylinder denote described diameter difference direction distance divided draw drawn equal equation equivalent example expressed faces feet figure follows four give given greater half height hence inches included inscribed intersection join less logarithm manner measure meet middle multiplied obtain opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon portion positive prism PROBLEM proportion pyramid radii radius ratio reason rectangle regular remaining respectively right angles RULE Scholium sides similar Sine solid sphere spherical triangle square straight line subtract suppose surface taken Tang Tangent THEOREM third triangle triangle ABC unit volume
Pasajes populares
Página 35 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 80 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Página 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 17 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Página 176 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Página 182 - Every section of a sphere, made by a plane, is a circle.
Página 28 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C ' with Proof STATEMENTS Apply A A'B'C ' to A ABC so that A'B
Página 165 - ... bases simply : hence two prisms of the same altitude are to each other as their bases. For a like reason, two prisms of the same base are to each other as their altitudes.
Página 29 - ... to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is.
Página 13 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.
Información bibliográfica
| Título | PLANE AND SOLID GEOMETRY |
| Autor | GEORGE R. PERKINS |
| Publicado | 1856 |
| Procedencia del original | Universidad de Michigan |
| Digitalizado | 23 Nov. 2005 |
| Exportar cita | BiBTeX EndNote RefMan |