A Treatise on Elementary Geometry: With Appendices Containing a Collection of Exercises for Students and an Introduction to Modern Geometry |
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ... William Chauvenet No preview available - 2016 |
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... William Chauvenet No preview available - 2015 |
Common terms and phrases
ABCD adjacent angles altitude angle BAC angles are equal apothem base bisector bisects chord circumference circumscribed coincide common cone construct Corollary cylinder Definition denote diagonals diameter dicular diedral angle distance divided draw edges equally distant equilateral equivalent exterior angle faces figure frustum given circles given line given point given polygon given straight line greater hence homologous homologous sides hypotenuse indefinitely inscribed angle intercepted arcs isosceles less Let ABC measured by one-half middle point number of sides opposite sides parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROPOSITION pyramid quadrilateral quantities radical axis radii radius ratio rectangle regular polygon respectively rhombus right angles right triangle Scholium secant secant line segment sphere spherical square straight line drawn straight line joining surface symmetrical tangent tetraedron theorem triangle ABC triedral vertex vertices
Popular passages
Page 96 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 118 - The area of a rectangle is equal to the product of its base and altitude.
Page 189 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...
Page 9 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Page 305 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
Page 187 - An oblique prism is one whose lateral edges are oblique to the planes of its bases.
Page 244 - The angle of two arcs of great circles is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary).
Page 271 - A zone is a portion of the surface of a sphere included between two parallel planes.
Page 107 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.
Page 253 - 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...