Plane GeometryMacmillan, 1901 |
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Σελίδα v
... exercises . Comparatively little , however , has been done to introduce the student systematically into original ... exercises . In the beginning the exercises given in a cer- tain group are of similar kind and related to the preceding ...
... exercises . Comparatively little , however , has been done to introduce the student systematically into original ... exercises . In the beginning the exercises given in a cer- tain group are of similar kind and related to the preceding ...
Σελίδα vi
... exercises , selected with care for the purpose of securing increased mental power , is given . The general plan and preparation of the greater part of the book are the work of Dr. Schultze , while that of Dr. Sevenoak has been chiefly ...
... exercises , selected with care for the purpose of securing increased mental power , is given . The general plan and preparation of the greater part of the book are the work of Dr. Schultze , while that of Dr. Sevenoak has been chiefly ...
Σελίδα vii
... exercises at the first reading , although it is not necessary at this time to study every exercise given in the text . 4. It is advisable to explain at length to the beginner the meaning of the very first exercises , since many students ...
... exercises at the first reading , although it is not necessary at this time to study every exercise given in the text . 4. It is advisable to explain at length to the beginner the meaning of the very first exercises , since many students ...
Σελίδα xii
... exercise . • • ext . · · · exterior . hom . • • homologous . ~ • • is similar to , or similar . hy . · · • hypotenuse . • • angle . hyp . • • hypothesis . · angles . int . • interior . • Δ A • triangle . isos . · isosceles . · triangles ...
... exercise . • • ext . · · · exterior . hom . • • homologous . ~ • • is similar to , or similar . hy . · · • hypotenuse . • • angle . hyp . • • hypothesis . · angles . int . • interior . • Δ A • triangle . isos . · isosceles . · triangles ...
Σελίδα 5
... EXERCISES 4. What is the supplement of an angle of 23 ° ? 5. What is the complement of an angle of 45 ° ? 6. How many degrees are there in an angle which is twice its com- plement ? 7. If an angle is equal to twice its supplement ANGLES 5.
... EXERCISES 4. What is the supplement of an angle of 23 ° ? 5. What is the complement of an angle of 45 ° ? 6. How many degrees are there in an angle which is twice its com- plement ? 7. If an angle is equal to twice its supplement ANGLES 5.
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.