Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 71.
Σελίδα 6
... tangent to , 306 Circumscribed circle , 247 polygon , 247 Commensurable quantities , 342 Complementary angles , 66 Composition and division , 430 Composition , in proportion , 421 Conclusion , 22 Concurrent lines , 601 Consequents , in ...
... tangent to , 306 Circumscribed circle , 247 polygon , 247 Commensurable quantities , 342 Complementary angles , 66 Composition and division , 430 Composition , in proportion , 421 Conclusion , 22 Concurrent lines , 601 Consequents , in ...
Σελίδα 7
... tangent , 556 Distance , from point to line , 223 from point to point , 223 Division , external , 506 in proportion , 427 internal , 506 Dodecagon , 152 Equiangular polygon , 152 triangle , 18 Equilateral polygon , 152 triangle , 18 ...
... tangent , 556 Distance , from point to line , 223 from point to point , 223 Division , external , 506 in proportion , 427 internal , 506 Dodecagon , 152 Equiangular polygon , 152 triangle , 18 Equilateral polygon , 152 triangle , 18 ...
Σελίδα 8
... Tangent circles and lines , 306 Tangent , direct , 556 transverse , 556 Theorem , 22 Third proportional , 404 Transversal , 113 Transverse tangent , 556 Trapezium , 194 Trapezoid , 194 altitude of , 561 bases of , 561 Triangle , 18 ...
... Tangent circles and lines , 306 Tangent , direct , 556 transverse , 556 Theorem , 22 Third proportional , 404 Transversal , 113 Transverse tangent , 556 Trapezium , 194 Trapezoid , 194 altitude of , 561 bases of , 561 Triangle , 18 ...
Σελίδα 94
... tangent to the line . O⚫ Two circles are tangent to each other when their circumfer- ences touch at one point only . If one circle lies outside of the A A B other , they are tangent externally ; if one circle is within the other , they ...
... tangent to the line . O⚫ Two circles are tangent to each other when their circumfer- ences touch at one point only . If one circle lies outside of the A A B other , they are tangent externally ; if one circle is within the other , they ...
Σελίδα 95
... tangent to the circle at that point ; and conversely , a tangent to a circle is perpendicular to the radius drawn to the point of tangency . Let AB be to the radius CD at D. To Prove AB tangent to the circle . Proof . A D E Connect C ...
... tangent to the circle at that point ; and conversely , a tangent to a circle is perpendicular to the radius drawn to the point of tangency . Let AB be to the radius CD at D. To Prove AB tangent to the circle . Proof . A D E Connect C ...
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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.