## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |

### From inside the book

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**opposite**the direction of A from B ; so that a line has two different directions exactly**opposite**, either of which may be regarded as the direction of the line . A Straight line is one which has the same direction through- out its ... Page 9

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**opposite**the other ; either of which may be considered as its direction . VIII . A Broken line is one which is made up of two or more straight lines . IX . A Curved line is one which changes its direction at every point . X. Parallel ... Page 10

... angled triangle . The side

... angled triangle . The side

**opposite**the right angle is called the hypotenuse . XXIII . A triangle having its three angles acute , is called an acute - angled triangle . XXIV . A triangle having an obtuse angle , is 10 GEOMETRY . Page 11

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**opposite**sides of a quadrilateral are parallel , the figure is called a parallelogram . XXVI . When the four angles of a parallelo- gram are right angles , the figure is called a rectangle . XXVII . When the four sides of a rectangle ... Page 14

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**opposite**angles are equal . A- G C B For , drawing FG perpendicular to AB , we see that the angle AFC exceeds the right angle AFG , by the angle CFG ; while the angle BFC is less than the right angle BFG by the same angle CFG . Hence ...### Other editions - View all

### Common terms and phrases

a+b+c ACē altitude angles equal apothem bisect centre chord circ circumference cone consequently corresponding cosec Cosine Cotang cylinder decimal denote described diameter dicular distance divided draw drawn equation equivalent exterior angles feet figure formed frustum give given line greater half hence homologous sides hypotenuse inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism vertex volume