Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 7
... Equivalent polygons , 561 Exterior angles , 113 External division , 506 Extreme and mean ratio , 551 Extremes , in proportion , 404 Fourth proportional , 404 Geometrical figures , 9 Geometry , 11 plane , 12 Harmonical division , 509 ...
... Equivalent polygons , 561 Exterior angles , 113 External division , 506 Extreme and mean ratio , 551 Extremes , in proportion , 404 Fourth proportional , 404 Geometrical figures , 9 Geometry , 11 plane , 12 Harmonical division , 509 ...
Σελίδα 181
... equivalent polygons . Equivalent polygons are not necessarily equal in all respects . They need not even have the same number of sides . For example , a triangle , a square , and a hexagon may be equivalent . The base of a polygon is ...
... equivalent polygons . Equivalent polygons are not necessarily equal in all respects . They need not even have the same number of sides . For example , a triangle , a square , and a hexagon may be equivalent . The base of a polygon is ...
Σελίδα 182
... equivalent . B F A E H Let ABCD and EFGH be two parallelograms having equal bases and equal altitudes . To Prove ABCD and EFGH equal in area . Proof . Place EFGH upon ABCD so that their lower bases shall coincide . Because they have ...
... equivalent . B F A E H Let ABCD and EFGH be two parallelograms having equal bases and equal altitudes . To Prove ABCD and EFGH equal in area . Proof . Place EFGH upon ABCD so that their lower bases shall coincide . Because they have ...
Σελίδα 183
... equivalent . ( ? ) .. the triangles are equivalent . ( ? ) Q.E.D. 569. COROLLARY I. If a triangle and a parallelogram have equal bases and equal altitudes , the triangle is equivalent to one half the parallelogram . 570. COROLLARY II ...
... equivalent . ( ? ) .. the triangles are equivalent . ( ? ) Q.E.D. 569. COROLLARY I. If a triangle and a parallelogram have equal bases and equal altitudes , the triangle is equivalent to one half the parallelogram . 570. COROLLARY II ...
Σελίδα 184
... equivalent triangles . Ā 575. EXERCISE . The three medial lines B E of a triangle divide it into six equivalent tri- angles . 576. EXERCISE . In the triangle ABC , X is any point on the median CD . Prove that the triangles AXC and BXC ...
... equivalent triangles . Ā 575. EXERCISE . The three medial lines B E of a triangle divide it into six equivalent tri- angles . 576. EXERCISE . In the triangle ABC , X is any point on the median CD . Prove that the triangles AXC and BXC ...
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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.