Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 35
Page 148
... face ; which was to be proved . Definition . The limit of a variable quantity is a quantity to- wards which it may be made to approach nearer than any given quantity , and which it reaches under a particular supposition . Lemma . - Two ...
... face ; which was to be proved . Definition . The limit of a variable quantity is a quantity to- wards which it may be made to approach nearer than any given quantity , and which it reaches under a particular supposition . Lemma . - Two ...
Page 157
... faces of the angle . The measure of a diedral angle is the same as that of a plane angle formed by two straight lines , one in each face , and both perpendicular to the edge at the same point . A diedral angle may be acute , obtuse , or ...
... faces of the angle . The measure of a diedral angle is the same as that of a plane angle formed by two straight lines , one in each face , and both perpendicular to the edge at the same point . A diedral angle may be acute , obtuse , or ...
Page 158
... faces of the angle . Thus , S is the vertex of the polyedral angle , whose edges are SA , SB , SC , SD , and whose faces are ASB , BSC , CSD , DSA . A polyedral angle which has but three faces , is called a triedral D angle . POSTULATE ...
... faces of the angle . Thus , S is the vertex of the polyedral angle , whose edges are SA , SB , SC , SD , and whose faces are ASB , BSC , CSD , DSA . A polyedral angle which has but three faces , is called a triedral D angle . POSTULATE ...
Page 175
... faces in the lines AB , BC , CD , DE , and EA . From any point within the polygon thus formed , as 0 , draw the straight lines OA , OB , OC , OD , and OE . We then have two sets of triangles , one set having a common vertex S , the ...
... faces in the lines AB , BC , CD , DE , and EA . From any point within the polygon thus formed , as 0 , draw the straight lines OA , OB , OC , OD , and OE . We then have two sets of triangles , one set having a common vertex S , the ...
Page 176
... faces are each less than two right angles . PROPOSITION XXI . THEOREM . If the plane angles formed by the edges of ... faces ASB and CSB , the lines BA and BC , respectively perpendicular to SB : then will the angle ABC measure the ...
... faces are each less than two right angles . PROPOSITION XXI . THEOREM . If the plane angles formed by the edges of ... faces ASB and CSB , the lines BA and BC , respectively perpendicular to SB : then will the angle ABC measure the ...
Other editions - View all
Common terms and phrases
ABCD ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence