## Elements of Geometry and Trigonometry |

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Page 10

Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the

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 straight line AB meets another straight line CD , so as to make the adjacent angles BAC ... Page 12

Thus , A + B , represents the sum of the quantities A and B ; A - B represents their

Thus , A + B , represents the sum of 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 ... Page 34

... B is ex- B pressed by 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 true ratio than any assignable

... B is ex- B pressed by 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 true ratio than any assignable

**difference**. Page 35

Magnitudes are said to be in proportion by division , when the

Magnitudes are said to be in proportion by division , when the

**difference**of the antecedent and consequent is compared either with antecedent or consequent . 9. Equimultiples of two quantities are the products which arise from ... Page 50

If the distance between the centres of two circles is equal to the

If the distance between the centres of two circles is equal to the

**difference**of their radii , the two circles will touch each other internally . Let C and D be the centres at a dis- E tance from each other equal to AD - CA .### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole