## 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 40

Page v

...

...

**inscribed**and circumscribed polygons . Of secant and tangent**circles**.. PROBLEMS . Of perpendiculars , angles , and parallels . Construction of polygons .. Of contact Of common measure 47 51 57 61 66 69 70 Definitions ... Page 41

...

...

**circle**included by an arc and its chord is called a segment . The portion included between two radii and the ...**inscribed**in a**circle**when its extremities are in the circumference . An angle is**inscribed**in a**circle**when its sides ... Page 48

...

...

**circle**, or in equal**circles**, the angles at the centre to each other as their corresponding arcs . Scholium . Since ...**inscribed**angle is measured by half the 48 GEOMETRY . Page 49

...

...

**inscribed**angle is measured by half the arc included between its sides . First . When the centre of the**circle**is within the angle . A D E B Draw the diameter CE and the radii DA and DB . Now , since the triangle DAC is isosceles , the ... Page 51

...

...

**inscribed**in a**circle**and of circumscribing a**circle**. First . The three perpendiculars bisecting the three sides of the triangle ABC , meet in the same point G , which is equally distant from A , B , and C ( B. I. , T. XXXVII ...### 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