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 11
... 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 ...
... 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
... 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 . When a quadrilateral circum- scribes a ...
... 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 . When a quadrilateral circum- scribes a ...
Page 73
... 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 . 9 GEOMETRY . In the rectangle , two consecutive sides form THIRD BOOK Definitions.
... 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 . 9 GEOMETRY . In the rectangle , two consecutive sides form THIRD BOOK Definitions.
Page 74
... 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 ...
... 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 rectangle having 88 GEOMETRY . Determination of areas.
... 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
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume