## 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

Page 9

...

...

**Vertex**of the angle is the point where its sides meet . XII . When one straight line meets or crosses another , so as to make the adjacent angles equal , each of these angles is called a Right angle , and the lines are said to be ... Page 11

...

...

**vertices**of two angles , not adjacent . DEFINITIONS OF TERMS . I. A demonstration is a logical train of reasoning employed to establish an asserted truth . II . A proposition is a statement of a truth to be demonstrated , or of an ... Page 14

...

...

**vertex**of an angle , bisecting it . OF ANGLES . THEOREM I. When a straight line meets or crosses another , the adjacent angles are supplements ; and the opposite angles are equal . A- G C B For , drawing FG perpendicular to AB , we see ... Page 15

...

...

**vertex**of any angle , lines are drawn perpen- dicular respectively to its sides , they will form a new angle , either equal to the first , or supplementary to it . Let BAC be the given angle , DE perpendic- ular to AB , and FG ... Page 16

...

...

**vertex**of the first angle lines respectively parallel to the sides of the second angle , we should thus form a third angle , which will be equal to the second . But this third angle is either equal to the first or supplementary to it ...### 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