Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 59
Page 3
... manner impairing the generality of the truths evolved . The term solid , used not only by LEGENDRE , but by many other authors , to denote a limited portion of space , seems cal- culated to introduce the foreign idea of matter into a ...
... manner impairing the generality of the truths evolved . The term solid , used not only by LEGENDRE , but by many other authors , to denote a limited portion of space , seems cal- culated to introduce the foreign idea of matter into a ...
Page 6
... Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , INTRODUCTION . Raising to Powers by Logarithms , Extraction of Roots by Logarithms , PLANE TRIGONOMETRY . Plane Trigonometry ...
... Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , INTRODUCTION . Raising to Powers by Logarithms , Extraction of Roots by Logarithms , PLANE TRIGONOMETRY . Plane Trigonometry ...
Page 22
... manner , we find , ACD + ACE ACD + DCB ; and , taking away the common angle ACD , we have , ACE DCB . Hence , the proposition is proved . Cor . 1. If one of the angles about C all of the others will be right angles also . each of its ...
... manner , we find , ACD + ACE ACD + DCB ; and , taking away the common angle ACD , we have , ACE DCB . Hence , the proposition is proved . Cor . 1. If one of the angles about C all of the others will be right angles also . each of its ...
Page 25
... manner that the angle A shall coincide with the angle D , A the side AB taking B the direction DE , and CE the side AC the direction DF . Then , because AB is equal to DE , the vertex B will coincide with the vertex E ; and because AC ...
... manner that the angle A shall coincide with the angle D , A the side AB taking B the direction DE , and CE the side AC the direction DF . Then , because AB is equal to DE , the vertex B will coincide with the vertex E ; and because AC ...
Page 40
... manner , it may be proved that the sum of HGA and GHC , is equal to two right angles . Cor . 1. If HGB is a right angle , GHD will be a right angle also hence , if a line is perpendicular to one of two parallels , it is perpendicular to ...
... manner , it may be proved that the sum of HGA and GHC , is equal to two right angles . Cor . 1. If HGB is a right angle , GHD will be a right angle also hence , if a line is perpendicular to one of two parallels , it is perpendicular to ...
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