Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 5
... Measurement of Angles ,. Problems relating to the First and Third Books ,. BOOK IV . PAGE . 13 20 50 50 59 82 888 Proportions of Figures - Measurement of Areas , 93 Problems relating to the Fourth Book , 129 BOOK V. Regular Polygons ...
... Measurement of Angles ,. Problems relating to the First and Third Books ,. BOOK IV . PAGE . 13 20 50 50 59 82 888 Proportions of Figures - Measurement of Areas , 93 Problems relating to the Fourth Book , 129 BOOK V. Regular Polygons ...
Page 9
... measured . The To measure a thing is to find how many times it contains some other thing of the same kind , taken as a standard . assumed standard is called the unit of measure . 2. Since the unit of measure is of the same kind as the ...
... measured . The To measure a thing is to find how many times it contains some other thing of the same kind , taken as a standard . assumed standard is called the unit of measure . 2. Since the unit of measure is of the same kind as the ...
Page 26
... measured on any broken line AB , BC , A is greater than the distance measured on the straight line AC ( A. 12 ) : hence , the sum of AB and BC is greater than AC ; which was to be proved . Cor . If from both members of the inequality ...
... measured on any broken line AB , BC , A is greater than the distance measured on the straight line AC ( A. 12 ) : hence , the sum of AB and BC is greater than AC ; which was to be proved . Cor . If from both members of the inequality ...
Page 58
... or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE AND THE MEASUREMENT OF ANGLES 58 GEOMETRY .
... or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE AND THE MEASUREMENT OF ANGLES 58 GEOMETRY .
Page 59
... MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir- cumference . # :) 2 ...
... MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir- cumference . # :) 2 ...
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Common terms and phrases
ABĀ² 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