Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra Exercises, Both Theorems and Problems, for Advance WorkD.C. Health, 1891 - 179 σελίδες |
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Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 54
... form an isosceles triangle each of whose base angles is one - third its ... PROPORTION . ( It is assumed that the pupil is familiar with the algebraic processes involved in the manipulation of equations of the first ... RATIO AND PROPORTION.
... form an isosceles triangle each of whose base angles is one - third its ... PROPORTION . ( It is assumed that the pupil is familiar with the algebraic processes involved in the manipulation of equations of the first ... RATIO AND PROPORTION.
Σελίδα 62
... proportion form to the equivalent equation form . The author is of the firm belief that mathe- maticians have no right to amalgamate these two forms of expression , and that pupils should be taught to rigidly dis- criminate in their use ...
... proportion form to the equivalent equation form . The author is of the firm belief that mathe- maticians have no right to amalgamate these two forms of expression , and that pupils should be taught to rigidly dis- criminate in their use ...
Σελίδα 63
... proportion . Post . Let cx = an . We are required to form a proportion from the four factors c , x , a , and n , in which c and x shall be the extremes . Dem . C = an х • Why ? Why ? 918 a - n XC can : x . ( Changing from equation form ...
... proportion . Post . Let cx = an . We are required to form a proportion from the four factors c , x , a , and n , in which c and x shall be the extremes . Dem . C = an х • Why ? Why ? 918 a - n XC can : x . ( Changing from equation form ...
Σελίδα 64
... form a proportion , they will be in proportion by inversion . Sug . Divide 1 by each member of the equation . 296. If four quantities form a proportion , they will be in proportion by alternation . Post . Let the four quantities a , x , c , ...
... form a proportion , they will be in proportion by inversion . Sug . Divide 1 by each member of the equation . 296. If four quantities form a proportion , they will be in proportion by alternation . Post . Let the four quantities a , x , c , ...
Σελίδα 65
... proportions have a ratio in each equal , the other two ratios will form a proportion . 300. If two proportions have the two antecedents of one equal respectively to the two antecedents of the other , the consequents will form a proportion ...
... proportions have a ratio in each equal , the other two ratios will form a proportion . 300. If two proportions have the two antecedents of one equal respectively to the two antecedents of the other , the consequents will form a proportion ...
Άλλες εκδόσεις - Προβολή όλων
Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ... George Irving Hopkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2008 |
Συχνά εμφανιζόμενοι όροι και φράσεις
acute angle adjacent angles angle formed apothegm Arc HK base and altitude bisect bisector called central angle centre centre of symmetry chord circumference Compute the area construct the triangle Consult Theorem decagon demonstration diagonals diameter difference distance divide a given equal circles equally distant equiangular equiangular polygon equilateral polygons exterior extremity feet form a proportion geometrical given circle given line given parallelogram given point given triangle Hence homologous sides hypothenuse inches intercepted interior angles isosceles trapezoid isosceles triangle line be drawn lines drawn magnitudes middle point number of sides one-half opposite perimeter perpendicular point of contact point selected Post prove pupil quadrilateral radii radius ratio rectangle regular polygon relation required to construct required to divide required to find rhombus right angle right triangle secant segments selected at random symmetry tangent transversal trapezoid unequal vertex vertical angle
Δημοφιλή αποσπάσματα
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 78 - 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, minus twice the product of one of these sides and the projection of the other side upon it.
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.
Σελίδα 72 - The sum of the interior angles of a polygon is equal to two right angles, taken as many times less two as the figure has sides.