Chauvenet's Treatise on Elementary Geometry |
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ABCD adjacent angles altitude angle BAC angles are equal apothem bisects centre chord circumference coincide cone construct Corollary cylinder decagon Definition diagonal diameter dicular diedral angle distance divided draw equal angles equal circles equally distant equilateral equivalent EXERCISE find the locus frustum given angle given circle given circumference given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle line joining mean proportional measured by one-half middle point number of sides parallel parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism Proposition VI Proposition VIII Proposition XIV pyramid quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar sphere spherical polygon square Suggestion surface tangent tetraedron Theorem triangle ABC triangles are equal vertex vertical angle
Popular passages
Page 28 - The sum of the three angles of any triangle is equal to two right angles.
Page 125 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 121 - The area of a rectangle is equal to the product of its base and altitude.
Page 237 - A truncated triangular prism, is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 105 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 19 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Page 268 - The area of a lune is to the surface of the sphere as the angle of the lune is to four right angles, or as the arc which measures that angle is to the circumference.
Page 264 - Each side of a spherical triangle is less than the sum of the other two sides.
Page 101 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 66 - An angle formed by a tangent and a chord is measured by one-half the intercepted arc.