Elements of Geometry and TrigonometryA.S. Barnes and Company, 1837 - 359 sider |
Inni boken
Resultat 1-5 av 70
Side 215
... cosine of the arc AM : hence , the cosine of an arc is equal to that part of the radius inter- cepted between the centre and foot of the sine . The triangles CAT , CDS , are similar to the equal triangles CPM , CQM ; hence they are ...
... cosine of the arc AM : hence , the cosine of an arc is equal to that part of the radius inter- cepted between the centre and foot of the sine . The triangles CAT , CDS , are similar to the equal triangles CPM , CQM ; hence they are ...
Side 216
... cosine , the cotangent , and the cosecant , diminish . When the point M is at the middle of AD , or when the arc AM is 45 ° , in which case it is equal to its complement MD , the sine MP is equal to the cosine MQ or CP ; and the trian ...
... cosine , the cotangent , and the cosecant , diminish . When the point M is at the middle of AD , or when the arc AM is 45 ° , in which case it is equal to its complement MD , the sine MP is equal to the cosine MQ or CP ; and the trian ...
Side 217
... cosine of the arc AM , has the origin of its value at the centre C , and is esti- mated in the direction from C towards A ; while CP ' , the cosine of AM ' has also the origin of its value at C , but is estimated in a contrary direction ...
... cosine of the arc AM , has the origin of its value at the centre C , and is esti- mated in the direction from C towards A ; while CP ' , the cosine of AM ' has also the origin of its value at C , but is estimated in a contrary direction ...
Side 218
... cosine AM to become negative as soon as the arc AM becomes greater than a quadrant . At the point B the cosine becomes equal to -R ; that is , cos 180 ° -R . For all arcs , such as ADBN ' , which terminate in the third quadrant , the cosine ...
... cosine AM to become negative as soon as the arc AM becomes greater than a quadrant . At the point B the cosine becomes equal to -R ; that is , cos 180 ° -R . For all arcs , such as ADBN ' , which terminate in the third quadrant , the cosine ...
Side 219
... Cosine Tangent Cotangent 1q + 29 + 3q + + + 4q XIII . In trigonometry , the sines , cosines , & c . of arcs or an- gles greater than 180 ° do not require to be considered ; the angles of triangles , rectilineal as well as spherical ...
... Cosine Tangent Cotangent 1q + 29 + 3q + + + 4q XIII . In trigonometry , the sines , cosines , & c . of arcs or an- gles greater than 180 ° do not require to be considered ; the angles of triangles , rectilineal as well as spherical ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
adjacent altitude angle ACB angle BAC 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 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 plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment side BC 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
Populære avsnitt
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Side 31 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon...
Side 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Side 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Side 86 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 168 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Side 287 - How many square feet are there in the convex surface of the frustum of a square pyramid, whose slant height is 10 feet, each side of the lower base 3 feet 4 inches, and each side of the upper base 2 feet 2 inches ? Ans.
Side 64 - To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the angles A and B by the lines AO and BO, meeting at the point 0.