Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 24
... fixed in position , but it occupies no space , and no portion of the surface . There is evidently no unowned spot at the corner , for all four lots extend to the point , leaving no unoccupied surface . A point has no dimensions and is ...
... fixed in position , but it occupies no space , and no portion of the surface . There is evidently no unowned spot at the corner , for all four lots extend to the point , leaving no unoccupied surface . A point has no dimensions and is ...
Σελίδα 46
... fix a line ? How many lines are needed to fix a point ? How many bisecting points can a sect have ? Why ? How many bisecting lines can an angle have ? Why ? How does the angle case apply to perpendiculars ? What method of proof applies ...
... fix a line ? How many lines are needed to fix a point ? How many bisecting points can a sect have ? Why ? How many bisecting lines can an angle have ? Why ? How does the angle case apply to perpendiculars ? What method of proof applies ...
Σελίδα 55
... fixed absolutely , as otherwise incorrect proofs will often be given . ( See § 110. ) 97. COR . 1. There can be but ... fix a line . Three ways have already been mentioned in § 89 ( 6 ) ; they are , by two points , by its bi- secting an ...
... fixed absolutely , as otherwise incorrect proofs will often be given . ( See § 110. ) 97. COR . 1. There can be but ... fix a line . Three ways have already been mentioned in § 89 ( 6 ) ; they are , by two points , by its bi- secting an ...
Σελίδα 56
... fixed point ; or join two known points and be perpendicular to a fixed line . Always determine each line , but by one only of the determining conditions . The lines discussed in this paragraph ― auxiliary lines are only representations ...
... fixed point ; or join two known points and be perpendicular to a fixed line . Always determine each line , but by one only of the determining conditions . The lines discussed in this paragraph ― auxiliary lines are only representations ...
Σελίδα 77
... fixed distance from a given line . 101. If two points between the arms of an angle are equidistant from those arms , the line through the points is the bisector of the angle . 102. Find the locus of points equidistant from three lines ...
... fixed distance from a given line . 101. If two points between the arms of an angle are equidistant from those arms , the line through the points is the bisector of the angle . 102. Find the locus of points equidistant from three lines ...
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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.