Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 26
... cuts AB at 0 . Draw OD . B P DO + OP > PD . ( Why ? ) ( Ax . 12. ) But co = od ( 67 ) . .. CO + OP > PD . ( Substitution ; Ax . 6. ) That is , PC > PD , or PC is not = PD . Q.E.D. 69. THEOREM . If a point is equally distant from 26 ...
... cuts AB at 0 . Draw OD . B P DO + OP > PD . ( Why ? ) ( Ax . 12. ) But co = od ( 67 ) . .. CO + OP > PD . ( Substitution ; Ax . 6. ) That is , PC > PD , or PC is not = PD . Q.E.D. 69. THEOREM . If a point is equally distant from 26 ...
Σελίδα 30
... cutting off equal distances from the foot of the perpendicular will be equal . II . Equal oblique lines will cut off equal distances ( converse ) . III . Oblique lines cutting off unequal distances will be unequal , and that one which cuts ...
... cutting off equal distances from the foot of the perpendicular will be equal . II . Equal oblique lines will cut off equal distances ( converse ) . III . Oblique lines cutting off unequal distances will be unequal , and that one which cuts ...
Σελίδα 37
... to CD ( Hyp . ) . Now CD and XY both contain M ( Const . ) . .. CD and XY coincide ( 92 ) . B AB is to XY ( ? ) ( 93 ) . But LM is to XY ( ? ) . That is , LM is to CD . Q.E.D. 96. If one line cuts other lines , it is BOOK I 37.
... to CD ( Hyp . ) . Now CD and XY both contain M ( Const . ) . .. CD and XY coincide ( 92 ) . B AB is to XY ( ? ) ( 93 ) . But LM is to XY ( ? ) . That is , LM is to CD . Q.E.D. 96. If one line cuts other lines , it is BOOK I 37.
Σελίδα 38
Edward Rutledge Robbins. 96. If one line cuts other lines , it is called a transversal . Angles are formed at the ... cutting the s at H and K. To Prove : Lai and L x = Lv . Proof : Suppose through M , the midpoint of HK , RS is drawn ...
Edward Rutledge Robbins. 96. If one line cuts other lines , it is called a transversal . Angles are formed at the ... cutting the s at H and K. To Prove : Lai and L x = Lv . Proof : Suppose through M , the midpoint of HK , RS is drawn ...
Σελίδα 39
... cutting the Ils and forming the 8 4 . To Prove : < 8 = Li ; Lc = < r ; Lo = L a ; ≤ n = 2 m . c- Proof : 48 = 2a La ( 51 ) ; La = Zi ( 97 ) . .. ≤8 = Zi ( ? ) . S m Lc = ≤m ( ? ) ; ≤ m = ≤r ( ? ) . ../c=≤r ( ? ) . Etc. Q.E.D. 99 ...
... cutting the Ils and forming the 8 4 . To Prove : < 8 = Li ; Lc = < r ; Lo = L a ; ≤ n = 2 m . c- Proof : 48 = 2a La ( 51 ) ; La = Zi ( 97 ) . .. ≤8 = Zi ( ? ) . S m Lc = ≤m ( ? ) ; ≤ m = ≤r ( ? ) . ../c=≤r ( ? ) . Etc. Q.E.D. 99 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle altitude angle adjoining angle formed apothem base bisector bisects central angle circles are tangent circumscribed circle construct a square construct a triangle described diagonals diameter divided Draw chord Draw radii equal angles equal circles equal sides equally distant equiangular polygon equilateral triangle exterior angle figure Find the area given circle given line given point given triangle Hence homologous sides hypotenuse inches inscribed angle isosceles trapezoid isosceles triangle line joining lines be drawn mean proportional measured by arc median meeting number of sides pair parallel parallelogram perimeter perpendicular point of contact produced Prove quadrilateral ratio rectangle regular polygon rhombus right angles right triangle secant segments similar polygons similar triangles square equivalent Statement straight line tangent THEOREM trapezoid triangle ABC triangles are equal vertex vertex-angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 42 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Σελίδα 148 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 79 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 230 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Σελίδα 43 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 243 - Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.
Σελίδα 49 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 14 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Σελίδα 145 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 186 - To construct a circle which shall pass through two given points and touch a given line. Given : Points A and B ; line CD. Construction: Draw line AB meeting CD ^ P"