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Treatise on Geometry and Trigonometry for Colleges, Schools, and Private ...
Eli Todd Tappan
Προβολή αποσπασμάτων - 1879
Treatise on Geometry and Trigonometry; For Colleges, Schools and Private ...
Eli T. Tappan
Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015
acute adjacent altitude applied arranged base called chord circle circumference coincide common cone construct Corollary.—The corresponding Cosine Cotang curve demonstrated described diagonals diameter diedral difference direction distance divided draw edges equal equally distant equivalent example EXERCISES extent faces fall figure formed formula four functions Geometry given given line given point greater half Hence homologous included inscribed intersection Join length less limit logarithm means measured meet method parallel parallelogram pass perimeter perpendicular places plane polygon position principles prism problem proportional proved pyramid radius ratio reason regular polygon remaining respectively equal right angles secant sides similar similarly sine sphere spherical square straight line student subtracted Suppose surface Tang tangent tetraedrons Theorem Theorem.—The third triangle triedral true vertex vertices volume whole เ เ เ
Σελίδα 183 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Σελίδα 72 - Problem. — To draw a line through a given point parallel to a given line.
Σελίδα 141 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 91 - Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles.
Σελίδα 173 - The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary. — When the radius is unity, the area is expressed by -. 503. Theorem — The area of a sector is measured by half the product of its arc by its radius.
Σελίδα 240 - Corollary — The volume of any pyramid is equal to one-third of the product of its base by its altitude. For any pyramid...
Σελίδα 260 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Σελίδα 137 - The squa/re described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines.