Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 50
Page iii
... manner impairing the gener- ality 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 calculated to introduce the foreign idea of matter into a ...
... manner impairing the gener- ality 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 calculated to introduce the foreign idea of matter into a ...
Page vi
... Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , Raising to Powers by Logarithms , Extraction of Roots by Logarithms , PLANE TRIGONOMETRY . Plane Trigonometry Defined ...
... Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , Raising to Powers by Logarithms , Extraction of Roots by Logarithms , PLANE TRIGONOMETRY . Plane Trigonometry Defined ...
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 , the side AB taking B the direction DE , and A CE Then , because AB is the side AC the direction DF equal to DE , the vertex B will coincide with the vertex E ; and because AC is ...
... manner that the angle A shall coincide with the angle D , the side AB taking B the direction DE , and A CE Then , because AB is the side AC the direction DF equal to DE , the vertex B will coincide with the vertex E ; and because AC is ...
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
AB² AC² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence