Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 51
Page 3
... 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 the practical tests to which the work.
... 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 the practical tests to which the work.
Page 12
... are equal in all their parts when each part of one is equal to the corresponding part of the other , when taken either in the same or in the reverse order . ELEMENTS OF GEOMETRY . BOOK I. BLEMENTARY PRINCIPLES . DEFINITIONS 12 GEOMETRY.
... are equal in all their parts when each part of one is equal to the corresponding part of the other , when taken either in the same or in the reverse order . ELEMENTS OF GEOMETRY . BOOK I. BLEMENTARY PRINCIPLES . DEFINITIONS 12 GEOMETRY.
Page 46
... corresponding exterior angle , is equal D B Ce to two right angles ( P. I. ) : hence , the sum of all the inte rior and exterior angles is equal to two right angles taken as many times as the polygon has sides . But 46 GEOMETRY .
... corresponding exterior angle , is equal D B Ce to two right angles ( P. I. ) : hence , the sum of all the inte rior and exterior angles is equal to two right angles taken as many times as the polygon has sides . But 46 GEOMETRY .
Page 49
... corresponding sides of the other ; they are , therefore , equal : hence , the angles AEB , BEC , are equal , and therefore , the two diagonals bisect each other at right angles . BOOK II . RATIOS AND PROPORTIONS . DEFINITIONS . 1. BOOK ...
... corresponding sides of the other ; they are , therefore , equal : hence , the angles AEB , BEC , are equal , and therefore , the two diagonals bisect each other at right angles . BOOK II . RATIOS AND PROPORTIONS . DEFINITIONS . 1. BOOK ...
Page 57
... corresponding consequent . From the definition of a continued proportion ( D. 3 ) , A : B :: C : D :: E : F :: G H , & c . , hence , 34 14 B B = 34 ; whence , BA = AB ; B A = D ; whence , BC = AD ; 34 B F = E ; whence , BE = AF ; 34 B ...
... corresponding consequent . From the definition of a continued proportion ( D. 3 ) , A : B :: C : D :: E : F :: G H , & c . , hence , 34 14 B B = 34 ; whence , BA = AB ; B A = D ; whence , BC = AD ; 34 B F = E ; whence , BE = AF ; 34 B ...
Other editions - View all
Common terms and phrases
ABCD ACĀ² 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