Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
From inside the book
Results 1-5 of 61
Page 7
... Formulas of Relation between Functions and Arcs ,. Functions of Double and Half Arcs , Additional Formulas , Method ... Formula for the Sine of Half an Angle ,. Area of a Trapezoid , Area of a Quadrilateral , Area of a Polygon , 105 106 ...
... Formulas of Relation between Functions and Arcs ,. Functions of Double and Half Arcs , Additional Formulas , Method ... Formula for the Sine of Half an Angle ,. Area of a Trapezoid , Area of a Quadrilateral , Area of a Polygon , 105 106 ...
Page 207
... - abcde :: AB3 : ab3 ; which was to be proved . Cor . Similar pyramids are to each other as the cubes of their altitudes , or as the cubes of any other homologous lines . GENERAL FORMULAS . If we denote the volume of any BOOK VII . 207.
... - abcde :: AB3 : ab3 ; which was to be proved . Cor . Similar pyramids are to each other as the cubes of their altitudes , or as the cubes of any other homologous lines . GENERAL FORMULAS . If we denote the volume of any BOOK VII . 207.
Page 208
From the Works of A. M. Legendre Adrien Marie Legendre. GENERAL FORMULAS . If we denote the volume of any prism by V , its base by B , and its altitude by H , we shall have ( P. XIV . ) , V = B x H · • • · ( 1. ) If we denote the volume ...
From the Works of A. M. Legendre Adrien Marie Legendre. GENERAL FORMULAS . If we denote the volume of any prism by V , its base by B , and its altitude by H , we shall have ( P. XIV . ) , V = B x H · • • · ( 1. ) If we denote the volume ...
Page 233
... FORMULAS . If we denote the convex surface of a cylinder by S , its volume by V , the radius of its base by R , and its alti- tude by H , we have ( P. I. , II . ) , S = 2TR × H • · VR2 x H = • • · ( 1. ) ( 2. ) If we denote the convex ...
... FORMULAS . If we denote the convex surface of a cylinder by S , its volume by V , the radius of its base by R , and its alti- tude by H , we have ( P. I. , II . ) , S = 2TR × H • · VR2 x H = • • · ( 1. ) ( 2. ) If we denote the convex ...
Page 3
... any power of 10 is equal to the exponent of that power : hence the formula , log ( 10 ) ? = p . ( 3. ) If a number is an exact power of 10 , its logarithm is a whole number . If a number is not an exact power of 10 INTRODUCTION.
... any power of 10 is equal to the exponent of that power : hence the formula , log ( 10 ) ? = p . ( 3. ) If a number is an exact power of 10 , its logarithm is a whole number . If a number is not an exact power of 10 INTRODUCTION.
Other editions - View all
Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following