Elements of Geometry and Trigonometry |
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Page 4
... taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of sides becomes a circle , and this principle is made the basis of several important de- monstrations in Book VIII . Book II ...
... taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of sides becomes a circle , and this principle is made the basis of several important de- monstrations in Book VIII . Book II ...
Page 10
... taken together , form the contour , or perimeter of the polygon . 14. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ...
... taken together , form the contour , or perimeter of the polygon . 14. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ...
Page 12
... what remains after B is taken from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . The sign x indicates multiplication : thus , Ax B 12 GEOMETRY .
... what remains after B is taken from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . The sign x indicates multiplication : thus , Ax B 12 GEOMETRY .
Page 13
... taken from equals , the remainders will be . equal . 4. If equals be added to unequals , the wholes will be un- equal . 5. If equals be taken from unequals , the remainders will be unequal . 6. Things which are double of the same thing ...
... taken from equals , the remainders will be . equal . 4. If equals be added to unequals , the wholes will be un- equal . 5. If equals be taken from unequals , the remainders will be unequal . 6. Things which are double of the same thing ...
Page 18
... taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the side AC in D : then the line OC is shorter than OD + ...
... taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the side AC in D : then the line OC is shorter than OD + ...
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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