## 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 9

Page 15

...

...

**angles**that can be made on the other side of AB are also equal to two right**angles**; therefore all the**angles**that can be made around the point D , by any number of lines , are together equal to four right**angles**. Cor . IV . If two ... Page 16

...

...

**exterior angles**will be equal to four right angles . For , if from any point in the same plane , straight lines be drawn parallel respectively to the sides of the figure , the angles contained by the straight lines about that point will ... Page 17

...

...

**exterior angles**of the figure are together equal to four right angles . F Scholium . This proposition must be restricted to the case in which the polygon is convex . A convex polygon may be de- fined to be one , such that no side ... Page 18

...

...

**angles**is equal to four right**angles**. Cor . V. If two**angles**of a quadrilateral are right , the other two**angles**...**exterior**angle , formed by producing one of the sides of a triangle , is equal to the sum of the two interior and ... Page 25

...

...

**exterior angles**. WHEN COMPARED TWO AND TWO : 1. The two angles AGF and CHE , as well as BGF and DHE , are called interior angles on the same side ; that is , on the same side of the secant or cutting - line . 2. The two angles AGE and ...### 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