## 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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**distance**from that point . This**distance**, which is the length of the shortest line which can unite these points , is obviously mutual to the two 4 ++ GEOMETRY . Page 5

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**distance**of the point B from the point A is the same as the**distance**of the point A from the point B. The direction of the point A from the point B is opposite to the direction of the point B from the point A. THE STRAIGHT LINE . 5. Of ... Page 13

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**distance**between two points . XII . Through the same point only one straight line can be drawn parallel to another . XIII . Only one straight line can be drawn joining two given points . XIV . Straight lines which are parallel to the ... Page 19

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**distance**between A and B ( A. XI . ) , and there- fore shorter than the broken line AC + CB . The same reasoning applies to each of the sides . Hence , we have AB < AC + CB ; AC < AB + CB ; BC < AB + AC . A B Secondly . Since AC < AB + ... Page 21

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**distances**from the foot of the perpendicular , will be equal . III . Of two oblique lines terminating at unequal**distances**from the foot of the perpendicular , the one at the greater dis- tance will be the longer . Let A be the given ...### 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