Elements of Geometry and Trigonometry |
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Page 10
... gle DCB is the difference of the two angles DCE , BCE . 10. When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of those angles is called a right angle ; and ...
... gle DCB is the difference of the two angles DCE , BCE . 10. When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of those angles is called a right angle ; and ...
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 . The rhombus , or lozenge , which has its sides equal ...
... 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 . The rhombus , or lozenge , which has its sides equal ...
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 16
... gle D to the angle A ; then will the triangle EDF be equal to the triangle BAC . E D FB For , these triangles may be so applied to each other , that they shall exactly coincide . Let the triangle EDF , be placed upon the triangle BAC ...
... gle D to the angle A ; then will the triangle EDF be equal to the triangle BAC . E D FB For , these triangles may be so applied to each other , that they shall exactly coincide . Let the triangle EDF , be placed upon the triangle BAC ...
Page 19
... gle BAC of the first triangle , be greater than the angle EDF of the second . CE E F For , if not , the angle BAC must be equal to EDF , or less than it . In the first case , the side BC would be equal to EF , ( Prop . V. Cor . ) ; in ...
... gle BAC of the first triangle , be greater than the angle EDF of the second . CE E F For , if not , the angle BAC must be equal to EDF , or less than it . In the first case , the side BC would be equal to EF , ( Prop . V. Cor . ) ; in ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex