Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 41.
Σελίδα 7
... proportional , 404 Geometrical figures , 9 Geometry , 11 plane , 12 Harmonical division , 509 pencil , 512 Hexagon , 152 Homologous angles , 544 sides , 544 Hypotenuse , 43 Hypothesis , 22 Incommensurable quantities , 342 Indirect proof ...
... proportional , 404 Geometrical figures , 9 Geometry , 11 plane , 12 Harmonical division , 509 pencil , 512 Hexagon , 152 Homologous angles , 544 sides , 544 Hypotenuse , 43 Hypothesis , 22 Incommensurable quantities , 342 Indirect proof ...
Σελίδα 8
... Proportional , fourth , 404 mean , 404 third , 404 Proposition , 24 Quadrant , 346 Quadrilateral , 152 Quantities , commensurable , 342 constant , 340 incommensurable , 342 variable , 340 Radius , 20 Ratio , 340 extreme and mean , 551 ...
... Proportional , fourth , 404 mean , 404 third , 404 Proposition , 24 Quadrant , 346 Quadrilateral , 152 Quantities , commensurable , 342 constant , 340 incommensurable , 342 variable , 340 Radius , 20 Ratio , 340 extreme and mean , 551 ...
Σελίδα 9
... in a plane is a plane figure . 11. Geometry is the science that treats of the properties 9 PLANE GEOMETRY INDEX OF MATHEMATICAL TERMS PRELIMINARY DEFINITIONS PLANE GEOMETRY Fourth proportional, 404 Geometrical figures,
... in a plane is a plane figure . 11. Geometry is the science that treats of the properties 9 PLANE GEOMETRY INDEX OF MATHEMATICAL TERMS PRELIMINARY DEFINITIONS PLANE GEOMETRY Fourth proportional, 404 Geometrical figures,
Σελίδα 129
... proportional or a geometrical mean between the extremes . Thus in the proportion a b - b с b is a mean proportional between a and c . In this same proportion , c is called a third propor- tional to a and b . PROPOSITION I. THEOREM 405 ...
... proportional or a geometrical mean between the extremes . Thus in the proportion a b - b с b is a mean proportional between a and c . In this same proportion , c is called a third propor- tional to a and b . PROPOSITION I. THEOREM 405 ...
Σελίδα 130
... proportional 12 is the geometrical mean between two numbers . What is the other ? Find the mean proportional between a2 + 2 ab + b2 PROPOSITION II . THEOREM . ( Converse of PROP . I. ) 411. If the product of two factors is equal to the ...
... proportional 12 is the geometrical mean between two numbers . What is the other ? Find the mean proportional between a2 + 2 ab + b2 PROPOSITION II . THEOREM . ( Converse of PROP . I. ) 411. If the product of two factors is equal to the ...
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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.