Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Σελίδα 12
... Inscribed Insc . 165 Pencil of lines Inscribed angle 188 Pentagon Interior angles Int . Perigon of polygon , 71 ; || s , 115 Perimeter 118 135 275 75 54 Per . 69 TERM ABBREV . ART . TERM ABBREV . ᎪᎡᎢ . 12 INDEX.
... Inscribed Insc . 165 Pencil of lines Inscribed angle 188 Pentagon Interior angles Int . Perigon of polygon , 71 ; || s , 115 Perimeter 118 135 275 75 54 Per . 69 TERM ABBREV . ART . TERM ABBREV . ᎪᎡᎢ . 12 INDEX.
Σελίδα 89
... Inscribed and Circumscribed Figures . A circum- ference that passes through the vertices of a polygon is said to be circumscribed about the polygon , and the poly- gon is said to be inscribed in the circle . A circumference that lies ...
... Inscribed and Circumscribed Figures . A circum- ference that passes through the vertices of a polygon is said to be circumscribed about the polygon , and the poly- gon is said to be inscribed in the circle . A circumference that lies ...
Σελίδα 100
... inscribed angle is an angle between two chords that meet on the circumference . The arc that lies between the arms of an inscribed angle or a central angle is said to be subtended by the angle , and the angle is said to stand on the arc ...
... inscribed angle is an angle between two chords that meet on the circumference . The arc that lies between the arms of an inscribed angle or a central angle is said to be subtended by the angle , and the angle is said to stand on the arc ...
Σελίδα 102
... inscribed equilateral polygon is regular . 220. An inscribed equilateral hexagon has each side equal to a radius . 221. If a chord equals a radius , its arc is one sixth of the circum- ference . 196. Theorem III . A diameter that is ...
... inscribed equilateral polygon is regular . 220. An inscribed equilateral hexagon has each side equal to a radius . 221. If a chord equals a radius , its arc is one sixth of the circum- ference . 196. Theorem III . A diameter that is ...
Σελίδα 106
... inscribed in a circle is measured by one half its arc . To make this theorem complete , it must be proved for an inscribed angle having ( 1 ) one arm a diameter ; ( 2 ) one arm each side of the center ; ( 3 ) both arms the same side of ...
... inscribed in a circle is measured by one half its arc . To make this theorem complete , it must be proved for an inscribed angle having ( 1 ) one arm a diameter ; ( 2 ) one arm each side of the center ; ( 3 ) both arms the same side of ...
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.