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 40
Page 9
... four species of quantity , viz .: LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . Since the unit of measure of a quantity is of the same kind as the quantity measured , there are four kinds of units ...
... four species of quantity , viz .: LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . Since the unit of measure of a quantity is of the same kind as the quantity measured , there are four kinds of 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 . 1o . ADJACENT ANGLES are those which lie on the same side of one line , and on opposite sides of the other ; thus , ACE and ...
... four angles about the point of intersection , which have received different names , with respect to each other . 1o . ADJACENT ANGLES are those which lie on the same side of one line , and on opposite sides of the other ; thus , ACE and ...
Page 22
... perpen dicular 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 . ж For , if two lines are drawn through the point 22 GEOMETRY .
... perpen dicular 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 . ж For , if two lines are drawn through the point 22 GEOMETRY .
Page 23
... four right angles , and it is also 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 , they ...
... four right angles , and it is also 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 , they ...
Other editions - View all
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence