Plane GeometryMacmillan, 1901 |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 6
... difference between BOD and COD ? 15. In the same diagram , if AOB = 60 ° , BOC = 30 ° , and COD = 90 ° , find AOC , BOD , and AOD . 16. If the four lines meet in a point so that AOB = 120 ° , and BOC = COD = DOA , find BOC . 17. In Fig ...
... difference between BOD and COD ? 15. In the same diagram , if AOB = 60 ° , BOC = 30 ° , and COD = 90 ° , find AOC , BOD , and AOD . 16. If the four lines meet in a point so that AOB = 120 ° , and BOC = COD = DOA , find BOC . 17. In Fig ...
Σελίδα 42
... difference is less , than the third side . Нур . To prove B ACB is a A. AB + AC > BC ; and BA > CB - AC . Proof . 1 ° . A straight line is the shortest distance between two points . 2o . ( Ax . 10. ) .. AB + AC > BC . Q.E.D. AB + AC ...
... difference is less , than the third side . Нур . To prove B ACB is a A. AB + AC > BC ; and BA > CB - AC . Proof . 1 ° . A straight line is the shortest distance between two points . 2o . ( Ax . 10. ) .. AB + AC > BC . Q.E.D. AB + AC ...
Σελίδα 72
... difference equals b ( or a ) . Ex . 284. The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs , is equal to the altitude upon one of the arms . Ex . 285. The sum of the three ...
... difference equals b ( or a ) . Ex . 284. The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs , is equal to the altitude upon one of the arms . Ex . 285. The sum of the three ...
Σελίδα 88
... difference of the radii ? ( d ) Equal to the difference of the radii ? ( e ) Smaller than the difference of the radii ? ( f ) Equal to zero ? EXERCISES Ex . 339. If a secant intersects two concentric circles , its segments , intercepted ...
... difference of the radii ? ( d ) Equal to the difference of the radii ? ( e ) Smaller than the difference of the radii ? ( f ) Equal to zero ? EXERCISES Ex . 339. If a secant intersects two concentric circles , its segments , intercepted ...
Σελίδα 90
... difference may be diminished to one millionth or one billionth or any assigned value , however small . If a quantity , A , be divided into m equal parts , and another quantity , B , is found to contain n of these parts , with a ...
... difference may be diminished to one millionth or one billionth or any assigned value , however small . If a quantity , A , be divided into m equal parts , and another quantity , B , is found to contain n of these parts , with a ...
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.