Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 36
Page 11
... gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . [ A The rhombus , or lozenge , which has its sides ...
... gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . [ A The rhombus , or lozenge , which has its sides ...
Page 14
... gles ACE , ECD : therefore ACD + DCB is the sum of the three angles ACE , ECD , DCB : but the first of these three angles is a right angle , and the other two make up the right angle ECB ; hence , the sum of the two an- gles ACD and DCB ...
... gles ACE , ECD : therefore ACD + DCB is the sum of the three angles ACE , ECD , DCB : but the first of these three angles is a right angle , and the other two make up the right angle ECB ; hence , the sum of the two an- gles ACD and DCB ...
Page 25
... gles BAC , ABD , together equal to two right angles : then the lines EC , BD , will be parallel . From G , the middle point of BA , draw the straight line EGF , perpendicular to EC . It will also B G E A F -C . be perpendicular to BD ...
... gles BAC , ABD , together equal to two right angles : then the lines EC , BD , will be parallel . From G , the middle point of BA , draw the straight line EGF , perpendicular to EC . It will also B G E A F -C . be perpendicular to BD ...
Page 26
... + GOC , be equal to two right an- gles . A For , if OGB + GOD be not equal to two right angles , let IGH be drawn , making the sum C OGH + GOD equal to two I F E B H D right angles ; then IH and CD will be parallel 26 GEOMETRY .
... + GOC , be equal to two right an- gles . A For , if OGB + GOD be not equal to two right angles , let IGH be drawn , making the sum C OGH + GOD equal to two I F E B H D right angles ; then IH and CD will be parallel 26 GEOMETRY .
Page 27
... gles : then will IH and CD meet if sufficiently produced . For , if they do not meet they are parallel ( Def.12 . ) . But they are not parallel , for if they were , C I F E G B H D the sum of the interior angles OGH , GOD , would be ...
... gles : then will IH and CD meet if sufficiently produced . For , if they do not meet they are parallel ( Def.12 . ) . But they are not parallel , for if they were , C I F E G B H D the sum of the interior angles OGH , GOD , would be ...
Other editions - View all
Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall 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 Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex