Plane GeometryMacmillan, 1901 |
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Αποτελέσματα 1 - 5 από τα 49.
Σελίδα 33
... radius is any straight line drawn from the center to the circumference . An arc is any portion of a circumfer- ence . Ex . 130. If two altitudes of a triangle are equal , the corresponding sides are equal , and the triangle is isosceles ...
... radius is any straight line drawn from the center to the circumference . An arc is any portion of a circumfer- ence . Ex . 130. If two altitudes of a triangle are equal , the corresponding sides are equal , and the triangle is isosceles ...
Σελίδα 36
... radius , as AB , describe an arc cutting the sides of the △ A at B and C. From B and C as centers , with equal radii greater than one - half the distance from B to C , describe two arcs intersect- ing at D. Join AD . AD bisects / CAB ...
... radius , as AB , describe an arc cutting the sides of the △ A at B and C. From B and C as centers , with equal radii greater than one - half the distance from B to C , describe two arcs intersect- ing at D. Join AD . AD bisects / CAB ...
Σελίδα 37
... radius OC , describe an arc intersecting AB in C and D. From C and D as centers , with equal radii greater than OC , describe two arcs intersecting at E. Join OE . OE is the perpendicular to the line AB at O. [ The proof is left to the ...
... radius OC , describe an arc intersecting AB in C and D. From C and D as centers , with equal radii greater than OC , describe two arcs intersecting at E. Join OE . OE is the perpendicular to the line AB at O. [ The proof is left to the ...
Σελίδα 38
... radius sufficiently great , describe an arc cutting BC in C and D ' . From D ' and C " as centers , with equal radii greater than D'C " , describe two arcs intersecting at O. Draw AO intersecting BC in D. AD is a perpendicular from the ...
... radius sufficiently great , describe an arc cutting BC in C and D ' . From D ' and C " as centers , with equal radii greater than D'C " , describe two arcs intersecting at O. Draw AO intersecting BC in D. AD is a perpendicular from the ...
Σελίδα 39
... radius , describe arc FG , intersecting CB in F. From F as a center , with a radius equal to DE , draw an arc intersecting FG in H. Join CH . HCF is an △ at C = 20 . HINT . What is the usual means of proving the equality of angles ...
... radius , describe arc FG , intersecting CB in F. From F as a center , with a radius equal to DE , draw an arc intersecting FG in H. Join CH . HCF is an △ at C = 20 . HINT . What is the usual means of proving the equality of 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.