Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 14
... vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one straight line meets another the two angles which they form are called adjacent angles . Thus , the the A- angles ABD and DBC are adjacent . 12. A ...
... vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one straight line meets another the two angles which they form are called adjacent angles . Thus , the the A- angles ABD and DBC are adjacent . 12. A ...
Page 25
... vertex B will coincide with the vertex E ; and because AC is equal to DF , the vertex C will coincide with the vertex F ; consequently , the side BC will coincide with the side EF ( A. 11 ) . The two triangles , therefore , coincide ...
... vertex B will coincide with the vertex E ; and because AC is equal to DF , the vertex C will coincide with the vertex F ; consequently , the side BC will coincide with the side EF ( A. 11 ) . The two triangles , therefore , coincide ...
Page 26
... vertex ✓ will coincide with the vertex F ; and because the angle C is equal to the angle F , the side CA will take the Now , the vertex A being at the same time direction FD . on the lines ED D ( P. III . , C. ) and FD , it must be at ...
... vertex ✓ will coincide with the vertex F ; and because the angle C is equal to the angle F , the side CA will take the Now , the vertex A being at the same time direction FD . on the lines ED D ( P. III . , C. ) and FD , it must be at ...
Page 30
... angles opposite the equal sides are equal . Let BAC be an isosceles triangle , having the side AB equal to the side AC : then will the angle C be equal to the angle B. Join the vertex A BC . Then , AB common 30 GEOMETRY .
... angles opposite the equal sides are equal . Let BAC be an isosceles triangle , having the side AB equal to the side AC : then will the angle C be equal to the angle B. Join the vertex A BC . Then , AB common 30 GEOMETRY .
Page 31
... vertex of an isosceles triangle . to the middle of the base , bisects the vertical angle , and is per- pendicular to the base . PROPOSITION XII . THEOREM . If two angles of a triangle are equal , the sides opposite to them are also ...
... vertex of an isosceles triangle . to the middle of the base , bisects the vertical angle , and is per- pendicular to the base . PROPOSITION XII . THEOREM . If two angles of a triangle are equal , the sides opposite to them are also ...
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Common terms and phrases
ABē ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following