Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 σελίδες |
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Σελίδα iv
... solution should be encouraged whenever possible . All the designs are taken from photographs or from actual commercial patterns now in use . By thus showing that the abstract theorems of geometry find concrete expression in a multitude ...
... solution should be encouraged whenever possible . All the designs are taken from photographs or from actual commercial patterns now in use . By thus showing that the abstract theorems of geometry find concrete expression in a multitude ...
Σελίδα 15
... SOLUTION . To some convenient point C ' measure the distances AC and BC . Continuing in the direc- tion AC lay off C'A ' = AC , and in the direction BC lay off CB ' BC . Then 21 = 22 ( see § 74 ) . Test this with the protractor . Show ...
... SOLUTION . To some convenient point C ' measure the distances AC and BC . Continuing in the direc- tion AC lay off C'A ' = AC , and in the direction BC lay off CB ' BC . Then 21 = 22 ( see § 74 ) . Test this with the protractor . Show ...
Σελίδα 17
... SOLUTION . Suppose that both A and B are visible from C and D. ( 1 ) Using the triangle CDA , find the length of AD as in Ex . 5 above . ( 2 ) Using the triangle CBD , find DB in the same manner . ( 3 ) Using the triangle DBA , find AB ...
... SOLUTION . Suppose that both A and B are visible from C and D. ( 1 ) Using the triangle CDA , find the length of AD as in Ex . 5 above . ( 2 ) Using the triangle CBD , find DB in the same manner . ( 3 ) Using the triangle DBA , find AB ...
Σελίδα 20
... SOLUTION . Let AB be the given seg- ment and let it be required to find a A Xm B point C which shall be one inch from each extremity of AB . Set the points of the compasses one inch apart . With A as a center draw an arc m , and with B ...
... SOLUTION . Let AB be the given seg- ment and let it be required to find a A Xm B point C which shall be one inch from each extremity of AB . Set the points of the compasses one inch apart . With A as a center draw an arc m , and with B ...
Σελίδα 21
... SOLUTION . Given the angle A. Lay off any distance AB on one of its sides and any dis- tance AC on the other . Draw the segment BC forming the triangle ABC . As in Ex . 5 above , construct a triangle A'B'C ' so that A'B ' = AB , B'C ...
... SOLUTION . Given the angle A. Lay off any distance AB on one of its sides and any dis- tance AC on the other . Draw the segment BC forming the triangle ABC . As in Ex . 5 above , construct a triangle A'B'C ' so that A'B ' = AB , B'C ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry With Problems and Applications H. E. Slaught Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD accompanying design altitude apothem arcs area bounded axes of symmetry axioms base and altitude bisectors bisects central angle chord circumference congruent corresponding sides definite diagonal diameter divided Draw drawn equal angles equal circles equilateral triangle EXERCISES exterior angle feet Find the area Find the locus Find the radius fixed point geometric Give the proof given circle given point given triangle greater Hence hypotenuse inscribed intersect isosceles triangle length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perimeter perpendicular proof in full Prove quadrilateral radii ratio rectangle regular dodecagon regular hexagon regular octagon regular polygon regular triangle respectively rhombus right angle right triangle secant semicircle Show shown straight angle straight line strip subtend SUGGESTION tangent THEOREM tile trapezoid triangle ABC unit vertex vertices width
Δημοφιλή αποσπάσματα
Σελίδα 215 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 35 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 22 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 113 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 273 - This textbook may be borrowed for two weeks, with the privilege of renewing it once. A fine of five cents a day is incurred by failure to return a book on the date when it is due. The Education Library is open from 9 to 5 daily except Saturday when it closes at 12.30.
Σελίδα 52 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 174 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Σελίδα 153 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Σελίδα 219 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Σελίδα 202 - The area of a rectangle is equal to the product of its base and altitude.