## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |

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Page vii

... . 70 Of the circular parts ...... . 71 Examples for practice .. 92 CHAPTER VII . Mensuration of

... . 70 Of the circular parts ...... . 71 Examples for practice .. 92 CHAPTER VII . Mensuration of

**surfaces**.... 93 CHAPTER VIII . Mensuration of solids .... 109 PART FIRST . PLANE AND SOLID GEOMETRY . INTRODUCTION . CONTENTS . vii. Page 3

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**surfaces**. When one**surface**is cut by another**surface**, the place of their mutual intersection is called a Line . This line belongs to each of the**surfaces**. Since the intersection of two**surfaces**gives a line , and any**surface**may be ... Page 4

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**surface**, or a space . It is the same when we speak of the points of a line , of a**surface**, of a space ; the lines of a**surface**, & c . 3. A space , a**surface**, and a line , may be considered in two distinct ways . We may consider them ... Page 5

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**surface**, or , as usually expressed , the Plane , is the simplest of all**surfaces**. It may be defined as follows : A plane is an indefinite**surface**, on which we may conceive that through each of its points a straight line may be made ... Page 9

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**Surface**has two dimensions ; length and breadth . VI . A Solid has three dimensions ; length , breadth , and thickness . VII . A Straight line is one which has the same direction through its whole extent . In reality a line has two ...### 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