## 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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**rectangle**. XXVII . When the four sides of a**rectangle**are equal , the figure is called a square . XXVIII . When the four sides of a parallelogram are equal , and the angles not right , the figure is called a rhombus . XXIX . When only ... Page 53

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**rectangle**, which includes the square , is the only parallelogram which can be inscribed in a circle . The diagonals of the**rectangle**are diameters of the circumscribing circle . THEOREM XIV . B G When a quadrilateral circum- scribes ... Page 73

... The altitude or height is the common perpendicular to these bases , of which one is called the inferior or lower base , and the other the superior or upper base . In the

... The altitude or height is the common perpendicular to these bases , of which one is called the inferior or lower base , and the other the superior or upper base . In the

**rectangle**, two consecutive sides form the base Definitions. Page 74

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**rectangle**, two consecutive sides form the base and the height respectively . In the square , the base and height are equal . In the case of a triangle , either side may be regarded as the base . The height will be the perpendicular ... Page 88

... Hence the two parallelograms are equivalent . We may in the same way prove that the parallelograms ABCD , ABE'F ' are equivalent . Cor . A parallelogram is equivalent to a

... Hence the two parallelograms are equivalent . We may in the same way prove that the parallelograms ABCD , ABE'F ' are equivalent . Cor . A parallelogram is equivalent to a

**rectangle**having 88 GEOMETRY . Determination of areas.### 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