Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 91
... quantity whose magnitude remains fixed . 262 A variable is a quantity whose magnitude may take an indefinite number of different values . 263 The limit of a variable is a constant , such that the differ- ence between the variable and ...
... quantity whose magnitude remains fixed . 262 A variable is a quantity whose magnitude may take an indefinite number of different values . 263 The limit of a variable is a constant , such that the differ- ence between the variable and ...
Σελίδα 92
... quantity , the product of the variable by a constant or a decreasing quan- tity can be made less than any assigned quantity . Let x be the variable and c a constant or a decreasing quantity . Then cx is their product . Since x decreases ...
... quantity , the product of the variable by a constant or a decreasing quan- tity can be made less than any assigned quantity . Let x be the variable and c a constant or a decreasing quantity . Then cx is their product . Since x decreases ...
Σελίδα 93
... quantity . с ( ) . § 265 267 PRINCIPLE 3. If a variable x approaches a constant c as a limit , mx approaches mc as a limit , m being a constant . For cx can be made less than any assigned quantity . § 263 : .m ( c − x ) = ( mc — mx ) ...
... quantity . с ( ) . § 265 267 PRINCIPLE 3. If a variable x approaches a constant c as a limit , mx approaches mc as a limit , m being a constant . For cx can be made less than any assigned quantity . § 263 : .m ( c − x ) = ( mc — mx ) ...
Σελίδα 94
... quantity by taking x and y large enough , x + y approaches b + c as a limit , and xy approaches bc as a limit . PROPOSITION IX . THEOREM 273 In the same circle or in equal circles , two cen- tral angles have the same ratio as their ...
... quantity by taking x and y large enough , x + y approaches b + c as a limit , and xy approaches bc as a limit . PROPOSITION IX . THEOREM 273 In the same circle or in equal circles , two cen- tral angles have the same ratio as their ...
Σελίδα 95
... quantity . .. the arc AD approaches the arc AB as a limit , AOD approaches the AOB as a limit . § 263 and the arc AD arc AC approaches ZAOD and arc AB arc AC ZAOB as a limit , § 268 approaches as a limit . ZAOC Z AOC But the variable ...
... quantity . .. the arc AD approaches the arc AB as a limit , AOD approaches the AOB as a limit . § 263 and the arc AD arc AC approaches ZAOD and arc AB arc AC ZAOB as a limit , § 268 approaches as a limit . ZAOC Z AOC But the variable ...
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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 circle CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus Find the ratio frustum given circle given line given point homologous sides hypotenuse HYPOTHESIS inches inscribed intersecting isosceles trapezoid isosceles triangle lateral area legs line of centers mean proportional median mid-points number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segments similar triangles slant height SOLUTION sphere spherical polygon spherical triangle straight line surface tangent THEOREM trapezoid triangle ABC triedral vertex volume
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 242 - The areas of two triangles which have 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
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 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...