Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 66
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 A angles ABD and DBC are adjacent . 12. A RIGHT ...
... 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 A angles ABD and DBC are adjacent . 12. A RIGHT ...
Page 16
... vertices of two angles , not consecutive . 24 . A BASE of a polygon is any one of its sides OD which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their sides , or their angles . When ...
... vertices of two angles , not consecutive . 24 . A BASE of a polygon is any one of its sides OD which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their sides , or their angles . When ...
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 C 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 C 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 31
... vertex A BC . Then , AB is common , and BD construction : hence , the triangles BAD , and DAC , have the three sides ... vertex of an isosceles triangle to the middle of the base , bisects the angle at the vertex , and is perpendicular ...
... vertex A BC . Then , AB is common , and BD construction : hence , the triangles BAD , and DAC , have the three sides ... vertex of an isosceles triangle to the middle of the base , bisects the angle at the vertex , and is perpendicular ...
Other editions - View all
Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence