Elements of Geometry and Trigonometry |
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Page 10
... four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; that of seven , a heptagon ; that of eight , an octagon ; that of nine , a nonagon ; that of ten , a decagon ; and that of twelve , a dodecagon . C 15 ...
... four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; that of seven , a heptagon ; that of eight , an octagon ; that of nine , a nonagon ; that of ten , a decagon ; and that of twelve , a dodecagon . C 15 ...
Page 16
... four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two , ACD ...
... four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two , ACD ...
Page 27
... four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the sum of the interior angles on the same side less than two ...
... four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the sum of the interior angles on the same side less than two ...
Page 30
... as there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles : hence , if all the angles of 30 GEOMETRY .
... as there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles : hence , if all the angles of 30 GEOMETRY .
Page 31
... four right angles . Let the sides of the polygon ABCD- FG , be produced , in the same direction ; then will the sum of the exterior angles a + b + c + d + f + g , be equal to four right angles . A α F D B / b For , each interior angle ...
... four right angles . Let the sides of the polygon ABCD- FG , be produced , in the same direction ; then will the sum of the exterior angles a + b + c + d + f + g , be equal to four right angles . A α F D B / b For , each interior angle ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex