## Elements of Geometry and Trigonometry |

### From inside the book

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**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

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**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 sign ... Page 34

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**quantities**of the same kind , the ratio of A to B is ex- pressed by B Α ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case , the approximation may be brought nearer to the ... Page 35

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**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

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**quantities**in proportion , and M : N :: P : Q be their numerical representatives ; then will M × Q = NxP ; for since the**quantities**are in proportion fore N = Mx , or NxP = M × Q . MP there- Cor . If there are three proportional**quantities**...### Other editions - View all

### 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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex