Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Σελίδα 12
... Hypotenuse Hyp . 80 Octagon 75 Hypothesis 2 , 85 Order of proof 87 Orthocenter 156 Incenter 154 Incommensurable Incom . 203 , 348 Inequality ( Sect . VI ) Ineq . Parallel 83 Parallelogram Inscribed Insc . 165 Pencil of lines Inscribed ...
... Hypotenuse Hyp . 80 Octagon 75 Hypothesis 2 , 85 Order of proof 87 Orthocenter 156 Incenter 154 Incommensurable Incom . 203 , 348 Inequality ( Sect . VI ) Ineq . Parallel 83 Parallelogram Inscribed Insc . 165 Pencil of lines Inscribed ...
Σελίδα 41
... hypotenuse , and the other sides the legs . 81. Lines of a Triangle . There are four kinds of lines of importance in work with a triangle : the bisectors of the angles , the perpendicular bisectors of the sides , the altitudes , and the ...
... hypotenuse , and the other sides the legs . 81. Lines of a Triangle . There are four kinds of lines of importance in work with a triangle : the bisectors of the angles , the perpendicular bisectors of the sides , the altitudes , and the ...
Σελίδα 58
... 26. In a right - angled triangle , the hypotenuse is the longest side . 27. In an obtuse - angled triangle , the side opposite the obtuse angle is the longest side . 28. Assuming that the bisectors of the angles of a 58 RECTILINEAR FIGURES.
... 26. In a right - angled triangle , the hypotenuse is the longest side . 27. In an obtuse - angled triangle , the side opposite the obtuse angle is the longest side . 28. Assuming that the bisectors of the angles of a 58 RECTILINEAR FIGURES.
Σελίδα 59
... hypotenuse and a side of the one respectively equal to the hypotenuse and a side of the other , the triangles are con- gruent . NOTE . Investigate also the congruence of triangles having two sides and an angle not included equal , when ...
... hypotenuse and a side of the one respectively equal to the hypotenuse and a side of the other , the triangles are con- gruent . NOTE . Investigate also the congruence of triangles having two sides and an angle not included equal , when ...
Σελίδα 76
... hypotenuse of a right triangle is equidistant from the three vertices . 95. Find the locus of points equidistant from three points . ( Use the points two at a time . ) 151. Concurrence . If two or more lines meet in a point , the lines ...
... hypotenuse of a right triangle is equidistant from the three vertices . 95. Find the locus of points equidistant from three points . ( Use the points two at a time . ) 151. Concurrence . If two or more lines meet in a point , the lines ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry Developed by the Syllabus Method Eugene Randolph Smith Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angles are equal angles equal angles formed apothem arms base angles bisects called center line center sect central angles chord circum circumcenters CONST Construct a triangle contraposite diagonal diameter difference distance divided drawn equal angles equal sides equals the sum equiangular equiangular polygon equilateral triangle exterior figure Find the area Find the length Find the locus formula Geometry given angle given circle given line given point given ratio given sect given square given triangle greater hexagon hypotenuse included angle inscribed angle interior angles intersection isosceles triangle line joining median method number of sides opposite angles opposite sides pair parallelogram perigon perimeter perpendicular bisector points equidistant proof prove pupils quadrilateral radii radius regular inscribed regular polygon rhombus right angle right triangle secant sides equal statement straight angle straight line surface tangent Theorem third side transverse trapezoid triangle ABC twice unequal vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 70 - Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Σελίδα 73 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Σελίδα 172 - A line from the vertex of an isosceles triangle to any point in the base is smaller than the arms.
Σελίδα 49 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 102 - In the same circle, or in equal circles, if two arcs are equal, their central angles are equal; and conversely.
Σελίδα 41 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Σελίδα 161 - If the number of sides of a regular polygon inscribed in a circle be increased indefinitely, the apothem of the polygon will approach the radius of the circle as its limit.
Σελίδα 94 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 181 - The triangle formed by joining the middle point of one of the non-parallel sides of a trapezoid to the extremities of the opposite side is equivalent to one-half the trapezoid.