Elements of Geometry and Trigonometry |
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Page 14
... angle BAC , or simply , the angle A. 11. When one straight line meets another the two angles which they form are called adjacent angles . Thus , the A angles ABD and DBC are adjacent . 12. A RIGHT ANGLE is formed by one straight line ...
... angle BAC , or simply , the angle A. 11. When one straight line meets another the two angles which they form are called adjacent angles . Thus , the A angles ABD and DBC are adjacent . 12. A RIGHT ANGLE is formed by one straight line ...
Page 20
... adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal to two right angles . A C , let CE be drawn per- pendicular to AB ( Post . 6 ) ; then , by definition ( D. 12 ) ...
... adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal to two right angles . A C , let CE be drawn per- pendicular to AB ( Post . 6 ) ; then , by definition ( D. 12 ) ...
Page 21
... 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 , ACE and ECB ...
... 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 , ACE and ECB ...
Page 22
... angle ACD , we have , ACE DCB . Hence , the proposition is proved . Cor . 1. If one of the angles about C all of the others will be right angles also . each of its adjacent angles will be a right angle ; and from the proposition just ...
... angle ACD , we have , ACE DCB . Hence , the proposition is proved . Cor . 1. If one of the angles about C all of the others will be right angles also . each of its adjacent angles will be a right angle ; and from the proposition just ...
Page 38
... angles on the same side . 3 ° . ALTERNATE ANGLES , are those that lie on opposite sides of the secant and within the ... adjacent . EGB and Thus , GHD are opposite exterior and interior angles . PROPOSITION XIX . THEOREM . If two ...
... angles on the same side . 3 ° . ALTERNATE ANGLES , are those that lie on opposite sides of the secant and within the ... adjacent . EGB and Thus , GHD are opposite exterior and interior angles . PROPOSITION XIX . THEOREM . If two ...
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Common terms and phrases
ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence