Elements of Geometry and Trigonometry |
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Page 5
... Planes and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular ... PLANE TRIGONOMETRY . Division of the Circumference , 207 General.
... Planes and Solid Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular ... PLANE TRIGONOMETRY . Division of the Circumference , 207 General.
Page 6
Adrien Marie Legendre Charles Davies. PLANE TRIGONOMETRY . Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , · 208 Theorems and Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 ...
Adrien Marie Legendre Charles Davies. PLANE TRIGONOMETRY . Division of the Circumference , 207 General Ideas relating to the Trigonometrical Lines , · 208 Theorems and Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 ...
Page 9
... plane is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie wholly in the surface . 7. Every surface , which is not a plane surface , or composed of plane surfaces , is a ...
... plane is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie wholly in the surface . 7. Every surface , which is not a plane surface , or composed of plane surfaces , is a ...
Page 10
... plane , they cannot meet , how far soever , either way , both of them be produced . 13. A plane figure is a plane terminated on all sides by lines . B B 10 C A D If the lines are straight , the space they enclose is called a rectilineal ...
... plane , they cannot meet , how far soever , either way , both of them be produced . 13. A plane figure is a plane terminated on all sides by lines . B B 10 C A D If the lines are straight , the space they enclose is called a rectilineal ...
Page 126
... plane . 2. A line is parallel to a plane , when it cannot meet that plane , to whatever distance both be produced . Conversely , the plane is parallel to the line . 3. Two planes are parallel to each other , when they cannot meet , to ...
... plane . 2. A line is parallel to a plane , when it cannot meet that plane , to whatever distance both be produced . Conversely , the plane is parallel to the line . 3. Two planes are parallel to each other , when they cannot meet , to ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex