Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 24
... extend to the point , leaving no unoccupied surface . A point has no dimensions and is indivisible ; it has position only . 20. These definitions might have been taken in reverse order ; that is , starting with the point . A moving ...
... extend to the point , leaving no unoccupied surface . A point has no dimensions and is indivisible ; it has position only . 20. These definitions might have been taken in reverse order ; that is , starting with the point . A moving ...
Σελίδα 31
... extended to cover all cases of the division of a sect into equal parts . NOTE . A method of proof can often be used for various purposes with very little change except for minor details . It has already been said that the proof in § 43 ...
... extended to cover all cases of the division of a sect into equal parts . NOTE . A method of proof can often be used for various purposes with very little change except for minor details . It has already been said that the proof in § 43 ...
Σελίδα 34
... extended through the vertex . 49. Straight Angles . If the arms of an angle lie in the same straight line , but on opposite sides of the vertex . the angle is called a straight angle . ZAOB is a straight angle . The sum of B X A all the ...
... extended through the vertex . 49. Straight Angles . If the arms of an angle lie in the same straight line , but on opposite sides of the vertex . the angle is called a straight angle . ZAOB is a straight angle . The sum of B X A all the ...
Σελίδα 51
... extended , the exterior angle formed is greater than ( 1 ) the angle opposite the side extended ; ( 2 ) either angle not adjacent . [ Note that ( 2 ) includes ( 1 ) . ] NOTE . This theorem is a hard one to discover at the beginning of ...
... extended , the exterior angle formed is greater than ( 1 ) the angle opposite the side extended ; ( 2 ) either angle not adjacent . [ Note that ( 2 ) includes ( 1 ) . ] NOTE . This theorem is a hard one to discover at the beginning of ...
Σελίδα 53
... extended its own length , the extremity being joined to B. The proof has now been discovered if / KBS is a part of LXBC . It is a part of it if it lies within XBC ; that is , if the point K is between BX and BC . K does lie between ...
... extended its own length , the extremity being joined to B. The proof has now been discovered if / KBS is a part of LXBC . It is a part of it if it lies within XBC ; that is , if the point K is between BX and BC . K does lie between ...
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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.