Elements of Geometry and Trigonometry |
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Page 11
... diagonal is a line which joins the ver-. tices. of. two. angles. not. adjacent. to. each. other . A. Thus , AF , AE , AD , AC , are diagonals . G C D E 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon ...
... diagonal is a line which joins the ver-. tices. of. two. angles. not. adjacent. to. each. other . A. Thus , AF , AE , AD , AC , are diagonals . G C D E 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon ...
Page 30
... diagonals B AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be divided into five triangles , if it has seven sides ; into six triangles , if it has eight ; and , in general ...
... diagonals B AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be divided into five triangles , if it has seven sides ; into six triangles , if it has eight ; and , in general ...
Page 32
... diagonal BD . The triangles ABD , DBC , have a common side BD ; and A since AD , BC , are parallel , they have also the angle ADB = DBC , ( Prop . XX . Cor . 2. ) ; and since AB , CD , are parallel , the angle ABD = BDC : hence the two ...
... diagonal BD . The triangles ABD , DBC , have a common side BD ; and A since AD , BC , are parallel , they have also the angle ADB = DBC , ( Prop . XX . Cor . 2. ) ; and since AB , CD , are parallel , the angle ABD = BDC : hence the two ...
Page 33
... diagonal DB , dividing the quadrilateral into two triangles . Then , A since AB is parallel to DC , the alternate ... diagonals of a parallelogram divide each other into equal parts , or mutually bisect each other . Let ABCD bé a ...
... diagonal DB , dividing the quadrilateral into two triangles . Then , A since AB is parallel to DC , the alternate ... diagonals of a parallelogram divide each other into equal parts , or mutually bisect each other . Let ABCD bé a ...
Page 66
... times in the preceding one . When this happens , the two lines have no common measure , and are said to be incommensurable . An instance of this will be seen afterwards , in the ratio of the diagonal to the side 66 GEOMETRY .
... times in the preceding one . When this happens , the two lines have no common measure , and are said to be incommensurable . An instance of this will be seen afterwards , in the ratio of the diagonal to the side 66 GEOMETRY .
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Common terms and phrases
adjacent altitude angle ACB ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex