Plane GeometryMacmillan, 1901 |
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Σελίδα v
... group are of similar kind and related to the preceding proposition ; later some general principles are developed which are of fundamental importance for original work , as , V for example , the method of proving the equality of.
... group are of similar kind and related to the preceding proposition ; later some general principles are developed which are of fundamental importance for original work , as , V for example , the method of proving the equality of.
Σελίδα vi
Arthur Schultze. for example , the method of proving the equality of lines by means of equal triangles ; the method of proving the propor- tionality of lines by means of similar triangles , etc. , and finally the analyses of theorems and ...
Arthur Schultze. for example , the method of proving the equality of lines by means of equal triangles ; the method of proving the propor- tionality of lines by means of similar triangles , etc. , and finally the analyses of theorems and ...
Σελίδα vii
... methods afford an excellent means to overcome this difficulty . Draw equal lines or equal angles in the same color , or if this is impracticable , mark them by equal vii viii SUGGESTIONS TO TEACHERS crossmarks ; denote parallel lines by.
... methods afford an excellent means to overcome this difficulty . Draw equal lines or equal angles in the same color , or if this is impracticable , mark them by equal vii viii SUGGESTIONS TO TEACHERS crossmarks ; denote parallel lines by.
Σελίδα viii
... method . The diagrams on the left may be used if no colored crayons are available , those on the right should be drawn in the colors indicated . Lines and angles whose relative size is unknown are drawn in white . D I. A red A D or ...
... method . The diagrams on the left may be used if no colored crayons are available , those on the right should be drawn in the colors indicated . Lines and angles whose relative size is unknown are drawn in white . D I. A red A D or ...
Σελίδα 2
... method of proving the equality of two figures by means of coincidence . QUESTIONS 1. What is the path of a moving point ? 2. What geometrical magnitude is , in general , generated by a moving line ? by a moving surface ? 3. What kind of ...
... method of proving the equality of two figures by means of coincidence . QUESTIONS 1. What is the path of a moving point ? 2. What geometrical magnitude is , in general , generated by a moving line ? by a moving surface ? 3. What kind of ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD adjacent angles algebraic altitude angle equal angle formed angles are equal apothem base angle bisect bisector central angle circumference construct a triangle decagon diagonals diagram for Prop diameter draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle find a point Find the area given circle given line given point given triangle HINT homologous sides hypotenuse inscribed isosceles triangle joining the midpoints line joining mean proportional measured by arc median opposite sides parallel lines parallelogram perimeter perpendicular perpendicular-bisector point equidistant produced proof is left PROPOSITION prove Proof proving the equality quadrilateral radii rectangle regular hexagon regular polygon rhombus right angle right triangle SCHOLIUM School secant segments side equal similar polygons similar triangles straight angle straight line tangent THEOREM third side transversal trapezoid triangle ABC triangle are equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 180 - The areas of two triangles which have 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'.
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 31 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 209 - The area of a regular polygon is equal to onehalf the product of its apothem and perimeter.
Σελίδα 130 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 71 - The midpoints of two opposite sides of a quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex.
Σελίδα 26 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
Σελίδα 190 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Σελίδα 56 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.