Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 20
Page 10
... quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the difference of the two A angles DCE , BCE . 10. When a ...
... quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the difference of the two A angles DCE , BCE . 10. When a ...
Page 12
... quantities A and B ; A -- B represents their difference , or 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 ...
... quantities A and B ; A -- B represents their difference , or 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 ...
Page 34
... quantities of the same kind , the B pressed by Α ' dividing one quantity Thus , if A and B rep- ratio of A to B is ex- The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case ...
... quantities of the same kind , the B pressed by Α ' dividing one quantity Thus , if A and B rep- ratio of A to B is ex- The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case ...
Page 35
... quantities have this relation to each other , they are said to be in proportion . To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as ...
... quantities have this relation to each other , they are said to be in proportion . To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as ...
Page 36
... quantities in proportion , and M : N :: P : Q be their numerical representatives ; then will MxQ = Nx P ; for since the quantities are in proportion fore NMx , or Nx P = MxQ . P - M P there . Cor . If there are three proportional quantities ...
... quantities in proportion , and M : N :: P : Q be their numerical representatives ; then will MxQ = Nx P ; for since the quantities are in proportion fore NMx , or Nx P = MxQ . P - M P there . Cor . If there are three proportional quantities ...
Other editions - View all
Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment 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