Elements of Geometry |
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Page 6
... by two lines perpendicular to each other , they will comprehend the same space as the successive angles , ACB , BCD , & c . † These are often called vertical angles . THEOREM . 36. Two triangles are equal , when two 6 Elements of Geometry .
... by two lines perpendicular to each other , they will comprehend the same space as the successive angles , ACB , BCD , & c . † These are often called vertical angles . THEOREM . 36. Two triangles are equal , when two 6 Elements of Geometry .
Page 17
... called convex polygons . Every convex polygon is such , that a straight line , however drawn , cannot meet the perimeter in more than two points . THEOREM . 69. If two straight lines AB , CD ( fig . 36 ) , are perpendicular Fig 36 . to ...
... called convex polygons . Every convex polygon is such , that a straight line , however drawn , cannot meet the perimeter in more than two points . THEOREM . 69. If two straight lines AB , CD ( fig . 36 ) , are perpendicular Fig 36 . to ...
Page 20
... called the angles AGH , GHC , interior upon the same side ; the angles BGH , GHD , have the same name ; the angles AGH , GHD , are called alternate - internal , or simply alternate ; the same may be said of the angles BGH , GHC . Lastly ...
... called the angles AGH , GHC , interior upon the same side ; the angles BGH , GHD , have the same name ; the angles AGH , GHD , are called alternate - internal , or simply alternate ; the same may be said of the angles BGH , GHC . Lastly ...
Page 24
... called the centre . The circle is the space terminated by this curved line . * 88. Every straight line CA , CE , CD ( fig . 46 ) , & c . , drawn from the centre to the circumference , is called a radius or semi- diameter , and every ...
... called the centre . The circle is the space terminated by this curved line . * 88. Every straight line CA , CE , CD ( fig . 46 ) , & c . , drawn from the centre to the circumference , is called a radius or semi- diameter , and every ...
Page 25
... called the point of contact . Fig . 48 60 Also two circumferences are tangents to each other ( fig . 59 , 60 ) , Fig.59 . when they have only one point common . A polygon is said to be circumscribed about a circle , when all its sides ...
... called the point of contact . Fig . 48 60 Also two circumferences are tangents to each other ( fig . 59 , 60 ) , Fig.59 . when they have only one point common . A polygon is said to be circumscribed about a circle , when all its sides ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence