Plane GeometryMacmillan, 1901 |
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Αποτελέσματα 1 - 5 από τα 59.
Σελίδα 11
... base of a triangle is the side on which the figure is supposed to stand . The base of an isosceles triangle is that side which is equal to no other ; the two equal sides are called the arms . 65. The vertical angle of a triangle is the ...
... base of a triangle is the side on which the figure is supposed to stand . The base of an isosceles triangle is that side which is equal to no other ; the two equal sides are called the arms . 65. The vertical angle of a triangle is the ...
Σελίδα 15
... base . Ex . 38. If , upon the sides of an angle , equal distances be laid off from the vertex , and the ends be joined to any point in the bisector of the angle , these lines are equal . Ex . 39. If in the triangle ABC , Z A = 2 B , and ...
... base . Ex . 38. If , upon the sides of an angle , equal distances be laid off from the vertex , and the ends be joined to any point in the bisector of the angle , these lines are equal . Ex . 39. If in the triangle ABC , Z A = 2 B , and ...
Σελίδα 27
... of a triangle include an angle equal to half the third exterior angle . * Exercises denoted by ( * ) are difficult and may be omitted at a first reading . PROPOSITION XIV . THEOREM 101. The base angles of an PARALLEL LINES 27.
... of a triangle include an angle equal to half the third exterior angle . * Exercises denoted by ( * ) are difficult and may be omitted at a first reading . PROPOSITION XIV . THEOREM 101. The base angles of an PARALLEL LINES 27.
Σελίδα 28
... base angles . Ex . 102. How many degrees are in each angle of an isosceles right triangle ? Ex . 103. A base angle of an isosceles triangle is : ( 1 ) two - fifths of a right angle ; ( 2 ) m right angle . Find the other angles . Ex ...
... base angles . Ex . 102. How many degrees are in each angle of an isosceles right triangle ? Ex . 103. A base angle of an isosceles triangle is : ( 1 ) two - fifths of a right angle ; ( 2 ) m right angle . Find the other angles . Ex ...
Σελίδα 29
... base , the line joining is perpendicular to the base . Ex . 108. The bisectors of the base angles of an isosceles triangle are equal . PROPOSITION XV . THEOREM 103. If two angles of a triangle are equal , the sides opposite these angles ...
... base , the line joining is perpendicular to the base . Ex . 108. The bisectors of the base angles of an isosceles triangle are equal . PROPOSITION XV . THEOREM 103. If two angles of a triangle are equal , the sides opposite these angles ...
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.