Plane GeometryMacmillan, 1901 |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα xii
... less than . con . · • construction . • • • • perpendiculars . • lls • · therefore , or hence . perpendicular , or is per- pendicular to . parallel , or is parallel to . parallels . cor . • • corr . • · • corollary . corresponding . def ...
... less than . con . · • construction . • • • • perpendiculars . • lls • · therefore , or hence . perpendicular , or is per- pendicular to . parallel , or is parallel to . parallels . cor . • • corr . • · • corollary . corresponding . def ...
Σελίδα 4
... less than a right angle , as angle IKH . 33. An obtuse angle is 2 1 FIG . 9 . B FIG . 10 . A C A ← → B D E- N FIG . 11 . G- K H FIG . 12 . greater than a right angle , but less than a straight angle , as GKI 34. A reflex angle is one ...
... less than a right angle , as angle IKH . 33. An obtuse angle is 2 1 FIG . 9 . B FIG . 10 . A C A ← → B D E- N FIG . 11 . G- K H FIG . 12 . greater than a right angle , but less than a straight angle , as GKI 34. A reflex angle is one ...
Σελίδα 6
... less than its supplement ? equal to its supplement ? greater than its supplement ? 14. Four lines , AO , BO , CO , and DO , meet in a point . Which angle is the sum of AOB and BOC ? the sum of BOC and COD ? the difference between BOD ...
... less than its supplement ? equal to its supplement ? greater than its supplement ? 14. Four lines , AO , BO , CO , and DO , meet in a point . Which angle is the sum of AOB and BOC ? the sum of BOC and COD ? the difference between BOD ...
Σελίδα 42
... 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 > BC . ( above ) ...
... 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 > BC . ( above ) ...
Σελίδα 49
... less than the perimeter , but greater than the semiperime- ter of the triangle . D • E A B H C F A B Ex . 188. The sum of the diagonals of any quadrilateral is less than the perimeter , but greater than the semiperimeter of the ...
... less than the perimeter , but greater than the semiperime- ter of the triangle . D • E A B H C F A B Ex . 188. The sum of the diagonals of any quadrilateral is less than the perimeter , but greater than the semiperimeter of the ...
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.