Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 20
... unit of measure for angles . An angle is generally expressed in terms of the right angle . Thus , AR.A. , or B = 14 R.A. , etc. 43. DEFINITIONS . In a right - angled triangle the side opposite the right angle is called the hypotenuse ...
... unit of measure for angles . An angle is generally expressed in terms of the right angle . Thus , AR.A. , or B = 14 R.A. , etc. 43. DEFINITIONS . In a right - angled triangle the side opposite the right angle is called the hypotenuse ...
Σελίδα 105
... unit of time , one half of the remaining distance ; and in each succes- sive equal unit of time , one half the remaining distance . It is plain that the point would never reach B , as there would always remain half of some distance to ...
... unit of time , one half of the remaining distance ; and in each succes- sive equal unit of time , one half the remaining distance . It is plain that the point would never reach B , as there would always remain half of some distance to ...
Σελίδα 106
... unit of measure ; i.e. when they each con- tain a third magnitude a whole number of times . Two magnitudes are incommensurable when they have no common unit of measure ; i.e. when there ex- ists no third magnitude , however small , that ...
... unit of measure ; i.e. when they each con- tain a third magnitude a whole number of times . Two magnitudes are incommensurable when they have no common unit of measure ; i.e. when there ex- ists no third magnitude , however small , that ...
Σελίδα 107
... unit of measure . x Let be this unit , and suppose it is contained in ABC m times , and in DEF n times . Whence LABC DEF m n ( 1 ) The small angles into which ABC and DEF are divided are equal , since each equals Zx . By § 267 , the ...
... unit of measure . x Let be this unit , and suppose it is contained in ABC m times , and in DEF n times . Whence LABC DEF m n ( 1 ) The small angles into which ABC and DEF are divided are equal , since each equals Zx . By § 267 , the ...
Σελίδα 108
... unit of measure . Since ABC and DEF are incommensurable , ABC will not contain this unit of measure exactly , but a certain number of these angles will extend as far as , say , ABG , leaving a remainder GBC , smaller than the unit of ...
... unit of measure . Since ABC and DEF are incommensurable , ABC will not contain this unit of measure exactly , but a certain number of these angles will extend as far as , say , ABG , leaving a remainder GBC , smaller than the unit of ...
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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.