Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα v
... less simple , treatment of Parallels , Ratio , and Limits . The changes are not sufficient to prevent the simulta neous use of the old and new editions in the class ; still they are very important , and have been made after the most ...
... less simple , treatment of Parallels , Ratio , and Limits . The changes are not sufficient to prevent the simulta neous use of the old and new editions in the class ; still they are very important , and have been made after the most ...
Σελίδα 9
... less than a right angle ; as the angle BA C. 28. DEF . An Obtuse Angle is an angle greater than a right angle ; as the angle DEF . • Α C D B B A C F D E 29. DEF . Acute and obtuse angles , in distinction from right angles , are called ...
... less than a right angle ; as the angle BA C. 28. DEF . An Obtuse Angle is an angle greater than a right angle ; as the angle DEF . • Α C D B B A C F D E 29. DEF . Acute and obtuse angles , in distinction from right angles , are called ...
Σελίδα 12
... less than A'B ' C " ; but if the side BA fall in the direction B ' E , the angle A B C is greater than A ' B ' C ' . This method of superposition en- ables us to add magnitudes of the same kind . Thus , if we have two straight lines A B ...
... less than A'B ' C " ; but if the side BA fall in the direction B ' E , the angle A B C is greater than A ' B ' C ' . This method of superposition en- ables us to add magnitudes of the same kind . Thus , if we have two straight lines A B ...
Σελίδα 14
... less than . rt . A right triangle . rt . A right triangles . O circle . circles . + increased by . - diminished by . X multiplied by . ÷ divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary ...
... less than . rt . A right triangle . rt . A right triangles . O circle . circles . + increased by . - diminished by . X multiplied by . ÷ divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary ...
Σελίδα 38
... produced , as CBD . 95. DEF . The two angles of a triangle which are opposite the exterior angle , are called the two opposite interior angles , as A and C. B C 96. Any side of a triangle is less 38 BOOK I. GEOMETRY .
... produced , as CBD . 95. DEF . The two angles of a triangle which are opposite the exterior angle , are called the two opposite interior angles , as A and C. B C 96. Any side of a triangle is less 38 BOOK I. GEOMETRY .
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume