Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 61.
Σελίδα 6
... Circumscribed circle , 247 polygon , 247 Commensurable quantities , 342 Complementary angles , 66 Composition and division , 430 Composition , in proportion , 421 Conclusion , 22 Concurrent lines , 601 Consequents , in proportion , 404 ...
... Circumscribed circle , 247 polygon , 247 Commensurable quantities , 342 Complementary angles , 66 Composition and division , 430 Composition , in proportion , 421 Conclusion , 22 Concurrent lines , 601 Consequents , in proportion , 404 ...
Σελίδα 7
... 18 Isosceles triangle , base of , 50 vcrtex of , 50 Polygon , 152 circumscribed , 395 diagonal of , 152 inscribed , 247 perimeter of , 152 regular , 152 Polygons , similar , 477 7 8 Postulate , 28 Problem , 23 Projection , 657.
... 18 Isosceles triangle , base of , 50 vcrtex of , 50 Polygon , 152 circumscribed , 395 diagonal of , 152 inscribed , 247 perimeter of , 152 regular , 152 Polygons , similar , 477 7 8 Postulate , 28 Problem , 23 Projection , 657.
Σελίδα 94
... Circumscribe a circle about a given triangle . Show , by using §§ 298 and 249 , that the perpendicu- lars erected to the sides of a triangle at their middle points pass through a common point . 303. EXERCISE . Find the center of a given ...
... Circumscribe a circle about a given triangle . Show , by using §§ 298 and 249 , that the perpendicu- lars erected to the sides of a triangle at their middle points pass through a common point . 303. EXERCISE . Find the center of a given ...
Σελίδα 96
... Circumscribe about a given circle a triangle whose sides are parallel to the sides of a given triangle . 316. EXERCISE . To construct a triangle having given two sides and an angle opposite one of them . Let m and n be the two given ...
... Circumscribe about a given circle a triangle whose sides are parallel to the sides of a given triangle . 316. EXERCISE . To construct a triangle having given two sides and an angle opposite one of them . Let m and n be the two given ...
Σελίδα 113
... circumscribed about it . ( Converse of Cor . V. ) Then show that [ Pass a circumference through three of the vertices . the fourth vertex can fall neither without nor within the circumference . ] 364. EXERCISE . Show by § 355 that the ...
... circumscribed about it . ( Converse of Cor . V. ) Then show that [ Pass a circumference through three of the vertices . the fourth vertex can fall neither without nor within the circumference . ] 364. EXERCISE . Show by § 355 that the ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABC and DEF AC² altitude angle formed angles are equal angles equal apothem bisector bisects chord circum circumference cone Construct a triangle COROLLARY cylinder DEFINITION diagonals diameter dihedral angles divided Draw EFGH equally distant equiangular polygon equilateral triangle equivalent EXERCISE exterior angles Find frustum given circle given line given point hypotenuse inscribed angle isosceles triangle joining the middle lateral area Let ABC Let To Prove line joining medians meet middle points number of sides opposite sides parallel parallelogram parallelopiped perimeter perpendicular point of intersection polyhedron prism prolonged PROPOSITION Prove ABCD pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right-angled triangle SCHOLIUM secants segments Show similar polygons slant height sphere spherical square straight line surface tangent tetrahedron THEOREM trapezoid triangle ABC trihedral unequal vertex vertical angle volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 167 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 139 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 187 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 202 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 180 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 195 - Since similar triangles are to each other as the squares of their homologous sides, ABC : DBE : : AB' : BD3 ; whence BD = AB J ^5| ~ AB A/— ^ — . j A150 f in -f- n The construction of Fig.
Σελίδα 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 17 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.