Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 15
... pairs of equal angles are homologous . Homologous sides in two triangles are opposite the homologous angles . 27. Homologous parts of equal figures are equal . If the triangles DEF and HIJ are equal in all respects , D is homologous to ...
... pairs of equal angles are homologous . Homologous sides in two triangles are opposite the homologous angles . 27. Homologous parts of equal figures are equal . If the triangles DEF and HIJ are equal in all respects , D is homologous to ...
Σελίδα 20
... pair of vertical angles . To Prove : ≤ AOM = ≤ BOL . Proof : ment of ( See 44. ) AOM is the supple- MOB . ( Why ? ) M B ZBOL is the supplement of MOB . ( Why ? ) ( See 44. ) .. ZAOM = BOL . ( Why ? ) ( See 49. ) △ AOL and BOM are a pair ...
... pair of vertical angles . To Prove : ≤ AOM = ≤ BOL . Proof : ment of ( See 44. ) AOM is the supple- MOB . ( Why ? ) M B ZBOL is the supplement of MOB . ( Why ? ) ( See 44. ) .. ZAOM = BOL . ( Why ? ) ( See 49. ) △ AOL and BOM are a pair ...
Σελίδα 25
... pair of equal angles . 64. Homologous parts . Triangles are proven equal in order that their homologous sides , or homologous angles , may be proven equal . This is a very common method of proving lines equal and angles equal . 65. The ...
... pair of equal angles . 64. Homologous parts . Triangles are proven equal in order that their homologous sides , or homologous angles , may be proven equal . This is a very common method of proving lines equal and angles equal . 65. The ...
Σελίδα 27
... at 3:45 ? Ex . 3. THEOREM . If two lines be drawn bisecting each other , and their ends be joined in order , the opposite pairs of triangles will be equal . [ Use 51 and 52. ] 72. THEOREM . Two right triangles are equal if the BOOK I 27.
... at 3:45 ? Ex . 3. THEOREM . If two lines be drawn bisecting each other , and their ends be joined in order , the opposite pairs of triangles will be equal . [ Use 51 and 52. ] 72. THEOREM . Two right triangles are equal if the BOOK I 27.
Σελίδα 29
... pairs of equal parts must two triangles have , in order that they may be proven equal ? How many pairs is it necessary to mention in the case of two right triangles ? Ex . 2. THEOREM . If a perpendicular be erected at any point in the ...
... pairs of equal parts must two triangles have , in order that they may be proven equal ? How many pairs is it necessary to mention in the case of two right triangles ? Ex . 2. THEOREM . If a perpendicular be erected at any point in the ...
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"