Elements of Geometry and Trigonometry |
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Page 26
... adjacent : thus , EGB , GOD , are opposite exterior and interior angles ; and so also , are the angles AGE , GOC . Cor . 1. If a straight line EF , meet two straight lines CD , AB , making the alternate angles AGO , GOD , equal to each ...
... adjacent : thus , EGB , GOD , are opposite exterior and interior angles ; and so also , are the angles AGE , GOC . Cor . 1. If a straight line EF , meet two straight lines CD , AB , making the alternate angles AGO , GOD , equal to each ...
Page 28
... adjacent angles in each equal ; hence these triangles are equal ( Prop . VI . ) ; therefore , the side EG , which measures the distance of the parallels AB and CD at the point E , is equal to the side FH , which measures the distance of ...
... adjacent angles in each equal ; hence these triangles are equal ( Prop . VI . ) ; therefore , the side EG , which measures the distance of the parallels AB and CD at the point E , is equal to the side FH , which measures the distance of ...
Page 61
... adjacent angles will thus be known : draw the straight line D F H DE equal to the given side : at the point D , make an angle EDF equal to one of the adjacent angles , and at E , an angle DEG equal to the other ; the two lines DF , EG ...
... adjacent angles will thus be known : draw the straight line D F H DE equal to the given side : at the point D , make an angle EDF equal to one of the adjacent angles , and at E , an angle DEG equal to the other ; the two lines DF , EG ...
Page 62
... would be but one solution . The problem would be impossible in all cases , if the side B were less than the perpen- dicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a parallelogram , 62 GEOMETRY .
... would be but one solution . The problem would be impossible in all cases , if the side B were less than the perpen- dicular let fall from E on the line DF . PROBLEM XII . The adjacent sides of a parallelogram , 62 GEOMETRY .
Page 63
Adrien Marie Legendre Charles Davies. PROBLEM XII . The adjacent sides of a parallelogram , with the angle which they contain , being given , to describe the parallelogram . Let A and B be the given sides , and C the given angle . Draw ...
Adrien Marie Legendre Charles Davies. PROBLEM XII . The adjacent sides of a parallelogram , with the angle which they contain , being given , to describe the parallelogram . Let A and B be the given sides , and C the given angle . Draw ...
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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