## 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

Results 1-5 of 59

Page 14

...

...

**formed**by the 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 ... Page 15

...

...

**forming**the angle at A , have respectively the same directions as the sides DE and DF**forming**the angle at D. F B K D E G H Produce CA and DE until they cross each other at G. Now , since AB and DE are parallel , they have the same ... Page 17

...

...

**forming**exterior angles , which we will denote by the capital letters A , B , C , etc. , while their corresponding in- terior angles are denoted by the small let- ters a , b , c , etc. Now any exterior angle , together with its ad ... Page 18

...

...

**formed**by these lines will be greater than the angle ACB , opposite this side . C B For , the sum of the two angles DAB , DBA is obviously less than the sum of the two angles CAB , CBA . And since the sum of the three angles of every ... Page 25

...

...

**formed**receive particular names . WHEN TAKEN SEPARATELY : G B A H D F 1. The four angles AGF , CHE , BGF , and DHE , situated within the parallels , are called interior angles . 2. The four angles AGE , CHF , BGE , and DHF , situated ...### 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