Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 88.
Σελίδα 5
... POLYGONS 129 ADDITIONAL EXERCISES 173 BOOK IV . AREAS OF POLYGONS 181 ADDITIONAL EXERCISES . 213 BOOK V. MEASUREMENT OF THE CIRCLE ADDITIONAL EXERCISES 220 243 SOLID GEOMETRY INDEX OF MATHEMATICAL TERMS 248 BOOK VI . POINTS AND LINES IN ...
... POLYGONS 129 ADDITIONAL EXERCISES 173 BOOK IV . AREAS OF POLYGONS 181 ADDITIONAL EXERCISES . 213 BOOK V. MEASUREMENT OF THE CIRCLE ADDITIONAL EXERCISES 220 243 SOLID GEOMETRY INDEX OF MATHEMATICAL TERMS 248 BOOK VI . POINTS AND LINES IN ...
Σελίδα 6
... polygon , 716 degree of , 347 inscribed , 354 oblique , 17 obtuse , 17 right , 16 Base , of isosceles triangle , 50 of parallelogram , 561 of polygon , 561 of trapezoid , 561 Center , of circle , 19 of regular polygon , 716 of ...
... polygon , 716 degree of , 347 inscribed , 354 oblique , 17 obtuse , 17 right , 16 Base , of isosceles triangle , 50 of parallelogram , 561 of polygon , 561 of trapezoid , 561 Center , of circle , 19 of regular polygon , 716 of ...
Σελίδα 7
... polygon , 152 triangle , 18 Equilateral polygon , 152 triangle , 18 Equivalent polygons , 561 Exterior angles , 113 External division , 506 Extreme and mean ratio , 551 Extremes , in proportion , 404 Fourth proportional , 404 ...
... polygon , 152 triangle , 18 Equilateral polygon , 152 triangle , 18 Equivalent polygons , 561 Exterior angles , 113 External division , 506 Extreme and mean ratio , 551 Extremes , in proportion , 404 Fourth proportional , 404 ...
Σελίδα 8
... polygon , 707 angle at center of , 716 apothem of , 716 center of , 716 Rhomboid , 194 Rhombus , 194 Right angle ... polygons , 477 sectors , 787 segments , 787 Similitude , center of , 556 Solid , geometrical , 2 Square , 194 Straight ...
... polygon , 707 angle at center of , 716 apothem of , 716 center of , 716 Rhomboid , 194 Rhombus , 194 Right angle ... polygons , 477 sectors , 787 segments , 787 Similitude , center of , 556 Solid , geometrical , 2 Square , 194 Straight ...
Σελίδα 20
... is n yards east of B. Prove that the distance from B to C is the same as the distance from A to D. PROPOSITION IV . THEOREM 47. If a perpendicular is drawn 20 PLANE GEOMETRY diameter of, 247 inscribed in polygon, 247 radius of,
... is n yards east of B. Prove that the distance from B to C is the same as the distance from A to D. PROPOSITION IV . THEOREM 47. If a perpendicular is drawn 20 PLANE GEOMETRY diameter of, 247 inscribed in polygon, 247 radius of,
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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.