Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 9
... four species of quantity , called GEOMETRICAL MAGNITUDES , viz . , LINES , SUR- FACES , VOLUMES , and ANGLES : hence , there are four kinds of units of measure , viz . , Units of Length , Units of Surface , Units of Volume , and Units ...
... four species of quantity , called GEOMETRICAL MAGNITUDES , viz . , LINES , SUR- FACES , VOLUMES , and ANGLES : hence , there are four kinds of units of measure , viz . , Units of Length , Units of Surface , Units of Volume , and Units ...
Page 15
... four sides , a quadrilateral ; one of five sides , a pentagon ; one of six sides , a hexagon ; one of seven sides , a hepta- gon ; one of eight sides , an octagon ; one of ten sides , a decagon ; one of twelve sides , a dodecagon , & c ...
... four sides , a quadrilateral ; one of five sides , a pentagon ; one of six sides , a hexagon ; one of seven sides , a hepta- gon ; one of eight sides , an octagon ; one of ten sides , a decagon ; one of twelve sides , a dodecagon , & c ...
Page 21
... four angles about the point of intersection , which have received different names , with respect to each other . are 1o . ADJACENT ANGLES those which lie . on the same side of one line , and ' on opposite sides of the other ; thus ...
... four angles about the point of intersection , which have received different names , with respect to each other . are 1o . ADJACENT ANGLES those which lie . on the same side of one line , and ' on opposite sides of the other ; thus ...
Page 22
... mutually perpendicular to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . F B 租 For , if two lines be drawn through the point 22 GEOMETRY .
... mutually perpendicular to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . F B 租 For , if two lines be drawn through the point 22 GEOMETRY .
Page 23
... four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right angles . PROPOSITION III . THEOREM . If two straight lines have two points in common ...
... four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right angles . PROPOSITION III . THEOREM . If two straight lines have two points in common ...
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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