Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 74
... intercepts on these sides will be equal . 129. If ABC is a triangle , BS is the bisector of Z ABC , and AM is parallel to BS meeting BC produced , at M , the triangle ABM is isosceles . 130. If ABC is a triangle and BS is the bisector ...
... intercepts on these sides will be equal . 129. If ABC is a triangle , BS is the bisector of Z ABC , and AM is parallel to BS meeting BC produced , at M , the triangle ABM is isosceles . 130. If ABC is a triangle and BS is the bisector ...
Σελίδα 81
... intercepted by an angle . The hypothesis is contained in what constitutes the sub- ject of the principal verb of the theorem . ( See 59. ) PRELIMINARY THEOREMS 200. THEOREM . All radii of the same circle are equal . ( See 192. ) 201 ...
... intercepted by an angle . The hypothesis is contained in what constitutes the sub- ject of the principal verb of the theorem . ( See 59. ) PRELIMINARY THEOREMS 200. THEOREM . All radii of the same circle are equal . ( See 192. ) 201 ...
Σελίδα 82
... intercepted by equal central angles . [ Converse . ] Given : 0 = O C ; arc AB arc LM . To Prove : 40 = ZC . Proof : Superpose O upon the equal C C , making the centers coincide and point A fall on point L. Then arc AB will coincide with ...
... intercepted by equal central angles . [ Converse . ] Given : 0 = O C ; arc AB arc LM . To Prove : 40 = ZC . Proof : Superpose O upon the equal C C , making the centers coincide and point A fall on point L. Then arc AB will coincide with ...
Σελίδα 83
... intercepts the greater arc . II . If two arcs are unequal , the greater arc is intercepted by the greater central angle . [ Converse . ] M I. Given : 0 = 0 C ; ≤ LCM > ≤ 0 . To Prove : Arc LM > are AB . Proof : Superpose ○ o upon O C ...
... intercepts the greater arc . II . If two arcs are unequal , the greater arc is intercepted by the greater central angle . [ Converse . ] M I. Given : 0 = 0 C ; ≤ LCM > ≤ 0 . To Prove : Arc LM > are AB . Proof : Superpose ○ o upon O C ...
Σελίδα 88
... intercepted by the tangents . Proof : AOAP and OBP are rt . △ ( ? ) . They are = . ( Explain . ) I. ZAPO = _BP0 ( ? ) . II . ZAOP = / BOP ( ? ) . III . o is equidistant from A and B ( ? ) . X P is also ( ? ) ( 219 ) . .. OP is to AB at ...
... intercepted by the tangents . Proof : AOAP and OBP are rt . △ ( ? ) . They are = . ( Explain . ) I. ZAPO = _BP0 ( ? ) . II . ZAOP = / BOP ( ? ) . III . o is equidistant from A and B ( ? ) . X P is also ( ? ) ( 219 ) . .. OP is to AB at ...
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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"