Elements of Geometry and Trigonometry: From the Works of A.M. Legendre |
From inside the book
Results 1-5 of 65
Page 24
... Let DC meet AC and BC at C , making the sum of the angles DCA and DCB equal to two right angles : then will CB be ... ABC and DEF , let AB be equal to DE , AC to DF , and the angle 24 GEOMETRY .
... Let DC meet AC and BC at C , making the sum of the angles DCA and DCB equal to two right angles : then will CB be ... ABC and DEF , let AB be equal to DE , AC to DF , and the angle 24 GEOMETRY .
Page 25
... ABC and DEF , let the angle B be equal to the angle E , the angle C to the angle F , and the side BC to the side EF : then До will the triangles be equal in all their parts . D For , let ABC be applied to DEF in such a manner that the ...
... ABC and DEF , let the angle B be equal to the angle E , the angle C to the angle F , and the side BC to the side EF : then До will the triangles be equal in all their parts . D For , let ABC be applied to DEF in such a manner that the ...
Page 26
... Let ABC be a triangle : then will the sum of any two sides , as AB , BC , be greater than the third side AC . B. For , the distance from A to C , measured on any broken line AB , BC , A4 C. is greater than the distance measured on the ...
... Let ABC be a triangle : then will the sum of any two sides , as AB , BC , be greater than the third side AC . B. For , the distance from A to C , measured on any broken line AB , BC , A4 C. is greater than the distance measured on the ...
Page 28
... let AB be equal to DE , AC to DF , and the angle A greater than the an gle D : then will BC be greater than EF . Let ... ABC , it may be on the side BC , or it may be within the tri- angle ABC . Each case will be considered separately ...
... let AB be equal to DE , AC to DF , and the angle A greater than the an gle D : then will BC be greater than EF . Let ... ABC , it may be on the side BC , or it may be within the tri- angle ABC . Each case will be considered separately ...
Page 30
... ABC and DEF , let AB be equal to DE , AC to DF , and BC to EF : then will the tri- angles be equal in all their parts . For , since the sides AB , AC , are equal to DE , DF , each to each , if the angle A were greater than D , it would ...
... ABC and DEF , let AB be equal to DE , AC to DF , and BC to EF : then will the tri- angles be equal in all their parts . For , since the sides AB , AC , are equal to DE , DF , each to each , if the angle A were greater than D , it would ...
Other editions - View all
Common terms and phrases
AB² ABCD adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed cone consequently convex surface cosec Cosine Cosine D Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area following RULE Formula frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC log cot log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle principle demonstrated prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar slant height solution sphere spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prism triedral angle upper base vertex volume whence write the following