Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 91
... approach the constant as a limit . Pl P p " PM B Thus , suppose a point P starting from A moves along the line AB , under the condition that it shall move half the distance from A to B the first second , half the THEORY OF LÍMITS 91 110 ...
... approach the constant as a limit . Pl P p " PM B Thus , suppose a point P starting from A moves along the line AB , under the condition that it shall move half the distance from A to B the first second , half the THEORY OF LÍMITS 91 110 ...
Σελίδα 92
... approaches the constant AB as a limit ; the changing distance P'B , P " B , P ' " ' B , etc. , is a decreasing variable which approaches zero as a limit . Again . Consider the isosceles triangle ABC . Let the legs AB and AC constantly ...
... approaches the constant AB as a limit ; the changing distance P'B , P " B , P ' " ' B , etc. , is a decreasing variable which approaches zero as a limit . Again . Consider the isosceles triangle ABC . Let the legs AB and AC constantly ...
Σελίδα 93
... approaches a constant c as a limit , mx approaches mc as a limit , m being a constant . For c- x can be made less than any assigned quantity . § 263 :: m ( c − x ) = ( mc — mx ) can be made less than any assigned quantity . : . —- 812 ...
... approaches a constant c as a limit , mx approaches mc as a limit , m being a constant . For c- x can be made less than any assigned quantity . § 263 :: m ( c − x ) = ( mc — mx ) can be made less than any assigned quantity . : . —- 812 ...
Σελίδα 94
... approaches b + c as a limit , and xy approaches bc as a limit . For ( b + c ) – ( x + y ) = d , and bc - xy = d ' ; and since d and d ' can each be made less than any assigned quantity by taking x and y large enough , x + y approaches b ...
... approaches b + c as a limit , and xy approaches bc as a limit . For ( b + c ) – ( x + y ) = d , and bc - xy = d ' ; and since d and d ' can each be made less than any assigned quantity by taking x and y large enough , x + y approaches b ...
Σελίδα 95
... approaches the arc AB as a limit , AOD approaches the AOB as a limit . and the § 263 arc AD approaches arc AC ZAOD and approaches arc AB arc AC ZAOB as a limit , § 268 < AOC as a limit . ZAOC But the variable ratios ZAOD and arc AD ZAOC ...
... approaches the arc AB as a limit , AOD approaches the AOB as a limit . and the § 263 arc AD approaches arc AC ZAOD and approaches arc AB arc AC ZAOB as a limit , § 268 < AOC as a limit . ZAOC But the variable ratios ZAOD and arc AD ZAOC ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed Compute CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus frustum given circle given line given point homologous hypotenuse HYPOTHESIS inches inscribed intersect isosceles trapezoid isosceles triangle lateral area legs lune median mid-points number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw PROOF Let Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segment semicircle spherical angle spherical degrees spherical excess spherical polygon spherical triangle straight line surface symmetrical tangent tetraedron THEOREM trapezoid triangle ABC triedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 168 - 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 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 199 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...