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Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...
George Irving Hopkins
Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2008
base bisect bisector called centre chord circle circumference circumscribed coincide common Compute consequently Consult contained Converse demonstration diagonals diameter difference distance draw drawn equal equilateral equivalent expressed extended exterior extremity feet figure form a proportion four geometrical given circle given line given point greater Hence homologous hypothenuse inches inscribed interior angles intersection isosceles triangle joining latter length less line be drawn lines drawn magnitudes maximum mean measure method middle point number of sides one-half opposite parallel parallelogram pass perimeter perpendicular places plane point of contact position Post problem prove pupil quantities radii radius ratio rectangle regular polygon relation required to construct respectively right angle right triangle segments selected at random sides similar square straight line symmetry tangent Theorem trapezoid true unit vertex vertical angle
Σελίδα 38 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.
Σελίδα 80 - In any triangle, the product of any two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle, plus the square of the bisector.
Σελίδα 3 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 71 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Σελίδα 25 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Σελίδα 80 - In any quadrilateral, the sum of the squares of the four sides 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.
Σελίδα 79 - In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 70 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.