Elements of Geometry and Trigonometry |
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Page 60
... PROBLEM VII . Two angles of a triangle being given , to find the third . Draw the indefinite line DEF ; at any point as E , make the an- gle DEC equal to one of the given angles , and the angle CEH equal to the other : the remaining ...
... PROBLEM VII . Two angles of a triangle being given , to find the third . Draw the indefinite line DEF ; at any point as E , make the an- gle DEC equal to one of the given angles , and the angle CEH equal to the other : the remaining ...
Page 61
... PROBLEM X. The three sides of a triangle being given , to describe the triangle . Let A , B , and C , be the sides . Draw DE equal to the side A ; from the point E as a centre , with a radius equal to the second side B , describe an arc ...
... PROBLEM X. The three sides of a triangle being given , to describe the triangle . Let A , B , and C , be the sides . Draw DE equal to the side A ; from the point E as a centre , with a radius equal to the second side B , describe an arc ...
Page 62
Adrien Marie Legendre Charles Davies. PROBLEM XI . Two sides of a triangle , and the angle opposite one of them , being given , to describe the triangle . Let A and B be ... PROBLEM XII . The adjacent sides of a parallelogram , 62 GEOMETRY .
Adrien Marie Legendre Charles Davies. PROBLEM XI . Two sides of a triangle , and the angle opposite one of them , being given , to describe the triangle . Let A and B be ... PROBLEM XII . The adjacent sides of a parallelogram , 62 GEOMETRY .
Page 63
... PROBLEM XIII . To find the centre of a given circle or arc . Take three points , A , B , C , any where in the circumference , or the arc ; draw AB , BC , or suppose them to be drawn ; bisect those two lines by the perpendiculars DE , FG ...
... PROBLEM XIII . To find the centre of a given circle or arc . Take three points , A , B , C , any where in the circumference , or the arc ; draw AB , BC , or suppose them to be drawn ; bisect those two lines by the perpendiculars DE , FG ...
Page 64
... PROBLEM XV . To inscribe a circle in a given triangle . Let ABC be the given triangle . Bisect the angles A and B , by the lines AO and BO , meeting in the point 0 ; from the point 0 , let fall the perpendiculars OD , OE , OF , on the ...
... PROBLEM XV . To inscribe a circle in a given triangle . Let ABC be the given triangle . Bisect the angles A and B , by the lines AO and BO , meeting in the point 0 ; from the point 0 , let fall the perpendiculars OD , OE , OF , on the ...
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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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex