Elements of Geometry and Trigonometry |
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Page 37
... INTERIOR ANGLES ON THE SAME SIDE , are those that lie on the same side of the secant and within the other two lines . Thus , BGH and GHD are interior angles on the same side . 2o . EXTERIOR ANGLES ON THE SAME SIDE , are BOOK I. 37.
... INTERIOR ANGLES ON THE SAME SIDE , are those that lie on the same side of the secant and within the other two lines . Thus , BGH and GHD are interior angles on the same side . 2o . EXTERIOR ANGLES ON THE SAME SIDE , are BOOK I. 37.
Page 38
... angles . E A G / B C -D H F 4 ° . ALTERNATE EXTERIOR ANGLES , are those that lie on opposite sides of the secant and without the other two lines . Thus , AGE and FHD are alternate exterior angles . 5 ° . OPPOSITE EXTERIOR AND INTERIOR ...
... angles . E A G / B C -D H F 4 ° . ALTERNATE EXTERIOR ANGLES , are those that lie on opposite sides of the secant and without the other two lines . Thus , AGE and FHD are alternate exterior angles . 5 ° . OPPOSITE EXTERIOR AND INTERIOR ...
Page 39
Adrien Marie Legendre. angles ( P. I. ) ; the sum of the angles FAG and GBD is equal to two right angles , by ... interior angles equal , the two straight lines will be parallel . Let the angles EGB and GHD be equal : Now EGB and AGHI are ...
Adrien Marie Legendre. angles ( P. I. ) ; the sum of the angles FAG and GBD is equal to two right angles , by ... interior angles equal , the two straight lines will be parallel . Let the angles EGB and GHD be equal : Now EGB and AGHI are ...
Page 40
... interior angles on the same side will be equal to two right angles Let the parallels AB , CD , be cut FE : then will the sum of HGB and two right angles . For , if the sum of HGB and GHD is not equal to two right angles , let IGL be ...
... interior angles on the same side will be equal to two right angles Let the parallels AB , CD , be cut FE : then will the sum of HGB and two right angles . For , if the sum of HGB and GHD is not equal to two right angles , let IGL be ...
Page 41
... exterior and interior angles will be equal . The angles DHG and HGA are equal , from what has just been shown . The angles HGA and BGE are equal , because they are verti- cal : hence , DHG and BGE are equal . In like manner , it may be ...
... exterior and interior angles will be equal . The angles DHG and HGA are equal , from what has just been shown . The angles HGA and BGE are equal , because they are verti- cal : hence , DHG and BGE are equal . In like manner , it may be ...
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Common terms and phrases
ABCD 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 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