## 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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**intersection**is called a Line . This line belongs to each of the surfaces . Since the**intersection**of two surfaces gives a line , and any surface may be intersected by an infinite number of other distinct surfaces , it follows that On ... Page 4

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**intersection**, of a surface independently of the body , or of the space of which it is the limit ; in short , we may conceive of space itself , as abso- lutely immaterial . It is the result of these different abstractions which we call ... Page 5

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**intersect**or meet each other in only one point . THE PLANE . 6. The plane surface , or , as usually expressed , the Plane , is the simplest of all surfaces . It may be defined as follows : A plane is an indefinite surface , on which we ... Page 14

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**intersection**of two straight lines , is a right angle , the remaining three angles will each be right , and the two lines will be mutually per- pendicular . When the angles are not right there will be two equal acute angles , and two ... Page 27

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**intersection**of a straight line with two parallels is a right angle , the other seven will also be right . When these angles are not right , there will be four equal acute angles , and four equal ob- tuse angles . These angles will be ...### 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