## 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 46

Page 17

...

...

**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- jacent interior angle , as A + a , is equal ... Page 59

...

...

**denote**the greater radius by R , the less radius by R ' , and the distance between their centres by D , we shall have , when the circles are exterior , D > R + R ' , and when they are interior - that is , when the one is wholly within ... Page 91

...

...

**denote**the linear units in the base and altitude respectively . This measure , however , is not absolute , but only relative . It supposes that the area of any other rectangle is estimated in a similar manner , by measuring its sides by ... Page 92

...

...

**denote**the product of two unequal numbers ; but we use the term square to**denote**the product of a number multiplied by itself . The squares of the numbers 1 , 2 , 3 , etc. , are 1 , 4 , 9 , etc. From which we see that the square formed ... Page 105

...

...

**denote**the three sides BC , AC , AB of the triangle ABC , and R the radius of its circumscribing circle . Draw the diameter COC ' = 2R , also the supplementary chords AC ' , BC ' . Now the inscribed quadrilateral ACBC ' will give AB ...### 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