## 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

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**figures**Comparison of squares constructed on certain lines FOURTH BOOK . PAGE 80 82 88 94 97 Definitions .. Proportional lines connected with the circle .. Determination of the sides and of the areas of regular polygons 101 102 107 The ... Page 4

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**figures**, and the measure of extension , considered under the different circum- stances , as already noticed . THE POINT . 4. A point has neither**figure**nor extension ; it is this , above all , which distinguishes it from all other ... Page 7

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**figures**exactly coincide , by applying the one upon the other . The demonstration is also direct when we employ , by a direct course of reasoning , axioms , definitions , and principles already established . The indirect method , known ... Page 10

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**figure**is a limited portion of a plane . When it is limited by straight lines , the**figure**is called a rectilineal**figure**, or a polygon ; and the limiting lines , taken together , form the contour or perimeter of the polygon . XX . The ... Page 11

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**figure**is called a parallelogram . XXVI . When the four angles of a parallelo- gram are right angles , the**figure**is called a rectangle . XXVII . When the four sides of a rectangle are equal , the**figure**is called a square . XXVIII ...### 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