Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 31.
Σελίδα 7
... Limit , 340 Line , 4 curved , 7 straight , 6 Lines , parallel , 107 perpendicular , 16 Locus , 233 Material body , 1 Mean proportional , 404 Means , of a proportion , 404 Median of a triangle , 173 Minutes , of arc , 347 Mutually ...
... Limit , 340 Line , 4 curved , 7 straight , 6 Lines , parallel , 107 perpendicular , 16 Locus , 233 Material body , 1 Mean proportional , 404 Means , of a proportion , 404 Median of a triangle , 173 Minutes , of arc , 347 Mutually ...
Σελίδα 51
... limits must the third side lie ? 171. EXERCISE . Each side of a triangle is less than the semi- perimeter . 172. EXERCISE . The sum of the lines drawn from a point within a triangle to the three ver- tices is greater than the semi ...
... limits must the third side lie ? 171. EXERCISE . Each side of a triangle is less than the semi- perimeter . 172. EXERCISE . The sum of the lines drawn from a point within a triangle to the three ver- tices is greater than the semi ...
Σελίδα 81
... limit is there to the length of the given radius ? PROPOSITION II . THEOREM 252. A diameter divides a circle and also its circum- ference into two equal parts . E Let AB be a diameter of the circle whose center is 0 . To Prove that AB ...
... limit is there to the length of the given radius ? PROPOSITION II . THEOREM 252. A diameter divides a circle and also its circum- ference into two equal parts . E Let AB be a diameter of the circle whose center is 0 . To Prove that AB ...
Σελίδα 104
... limits does the length of the line joining their centers lie ? 334. EXERCISE . With a given radius describe a circle tangent to a given circle at a given point . [ Two solutions . ] 335. EXERCISE . What is the locus of the centers of ...
... limits does the length of the line joining their centers lie ? 334. EXERCISE . With a given radius describe a circle tangent to a given circle at a given point . [ Two solutions . ] 335. EXERCISE . What is the locus of the centers of ...
Σελίδα 105
... limit of a variable is a constant , from which the variable may be made to differ by less than any assignable quantity , but which it can never equal . Suppose a point to move A from 4 toward B , under the D E condition that in the ...
... limit of a variable is a constant , from which the variable may be made to differ by less than any assignable quantity , but which it can never equal . Suppose a point to move A from 4 toward B , under the D E condition that in 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.