Elements of Geometry and Trigonometry |
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Page 7
... Parallelogram , . 106 The Area of a Triangle , 106 Formula for the Sine of Half an Angle , ...... 108 Aree , of a Trapezoid , 112 Area of a Quadrilateral , 112 Are of a Polygon , 113 Area of a Regular Polygon , 114 To find the ...
... Parallelogram , . 106 The Area of a Triangle , 106 Formula for the Sine of Half an Angle , ...... 108 Aree , of a Trapezoid , 112 Area of a Quadrilateral , 112 Are of a Polygon , 113 Area of a Regular Polygon , 114 To find the ...
Page 17
... PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all right angles . A ...
... PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all right angles . A ...
Page 43
... angle GHK is equal to ABC ; which was to be proved . are parallel , the angle HMB MBC ( P. XX . , C. 2 ) : hence , Cor . The opposite angles of a parallelogram are equal PROPOSITION XXV . THEOREM . In any triangle , the BOOK I. 43.
... angle GHK is equal to ABC ; which was to be proved . are parallel , the angle HMB MBC ( P. XX . , C. 2 ) : hence , Cor . The opposite angles of a parallelogram are equal PROPOSITION XXV . THEOREM . In any triangle , the BOOK I. 43.
Page 47
... parallelogram , the opposite sides are equal , each to each . Let ABCD be a parallelogram : then will AB be equal to DC , and AD to BC . For , draw the diagonal BD . Then , because AB and DC are parallel , the angle DBA is equal to its ...
... parallelogram , the opposite sides are equal , each to each . Let ABCD be a parallelogram : then will AB be equal to DC , and AD to BC . For , draw the diagonal BD . Then , because AB and DC are parallel , the angle DBA is equal to its ...
Page 48
... parallelogram . In the quadrilateral ABCD , let AB be equal to DC , and AD to BC : then will it be a parallelogram . Then , the A Draw the diagonal DB . triangles ADB and CBD , will have D " the sides of the one equal to the sides of ...
... parallelogram . In the quadrilateral ABCD , let AB be equal to DC , and AD to BC : then will it be a parallelogram . Then , the A Draw the diagonal DB . triangles ADB and CBD , will have D " the sides of the one equal to the sides of ...
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Common terms and phrases
ABCD ACĀ² 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence