The Child's Practical GeometryJ.R. Osgood, 1872 - Geometrical drawing |
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altitude angle equal arc to cut Art Education Bisect angle bisect the angle bisecting line circle to inscribe circumference construct a square construct a triangle construct an angle construct an oblong describe a circle describe an arc describe arcs draw a line draw a radius draw a tangent draw lines ellipse equal in area equilateral triangle erect a perpendicular find a third find the centre fourth proportional given angle given base given base AB given circle given line AB given point given side given square ABCD given trapezium ABCD given triangle ABC heptagon inscribe a square intersect isosceles triangle line BC line parallel line perpendicular line to cut mean proportional Nonagon number of degrees number of equal parallelogram PROB problems quadrilateral radius 1A regular polygon required circle required triangle rhomboid rhombus right angles Schools of Art square equal straight line third proportional less trisect vertical angle WALTER SMITH
Popular passages
Page 47 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 42 - Parallelograms on the same base, or on equal bases, and between the same parallels, are equal.
Page 9 - Circle is a plane figure bounded by one uniformly curved line, called the circumference, every part of which is equally distant from a point within, called the center, as A in Fig.
Page 9 - A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle.
Page 9 - In like manner, a figure is said to be described about another figure, when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described, each through each. III. A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are upon the circumference of the circle.
Page 34 - ... heart was found no guile, and whose pure integrity, joined to the most amiable simplicity of manners and sweetness of temper, gained him the affection and respect of all who had the happiness to be acquainted with him. His collection of problems in that pamphlet concluded with this singular one, " To divide a circle into any number of parts, which shall be as well equal in area as in circumference. NB This may seem a paradox, however it may be effected in a manner strictly geometrical.
Page 53 - ... the popular interest already existing in Art and Art Study. The high reputation of the author as an Art Master, who has planned and furnished many Schools of Art, is a sufficient guaranty of the scientific accuracy and the practical usefulness of the work.
Page 29 - In a given circle, to inscribe a triangle similar to a given triangle.
Page 29 - ... moderate approximation in practice, on account of the imperfection of the in struments required in constructing them. Trigonometrical methods, on the contrary, being independent of mechanical operations, give solutions with the utmost accuracy. 41. For the purposes of trigonometrical calculations, the circumference of the circle is divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. PLANE TRIGONOMETRY.