Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 11
... angles that they form equal to each other , the angles formed are right angles . Angles ABC and ABD are right angles . In this case each line is perpendicular to the other . 17. An angle that is less than a right angle is acute , and ...
... angles that they form equal to each other , the angles formed are right angles . Angles ABC and ABD are right angles . In this case each line is perpendicular to the other . 17. An angle that is less than a right angle is acute , and ...
Σελίδα 23
... angle formed by the two equal sides is called the vertical angle . The side opposite this angle is usually called the base of the triangle . A 51. EXERCISE . If a perpendicular is erected to the base of an isosceles △ at its middle ...
... angle formed by the two equal sides is called the vertical angle . The side opposite this angle is usually called the base of the triangle . A 51. EXERCISE . If a perpendicular is erected to the base of an isosceles △ at its middle ...
Σελίδα 26
Alan Sanders. PROPOSITION VII . THEOREM 60. The sum of the adjacent angles formed by one line meeting another , is ... angle , the other is also a right angle . 62. COROLLARY II . If two straight lines intersect each other , and one of ...
Alan Sanders. PROPOSITION VII . THEOREM 60. The sum of the adjacent angles formed by one line meeting another , is ... angle , the other is also a right angle . 62. COROLLARY II . If two straight lines intersect each other , and one of ...
Σελίδα 27
... angles , they are called supplemen- tary angles . Each angle is the sup- plement of the other . G. B E D Adjacent angles formed by one line meeting another are supplementary adjacent angles . 66. DEFINITION . If two angles are together ...
... angles , they are called supplemen- tary angles . Each angle is the sup- plement of the other . G. B E D Adjacent angles formed by one line meeting another are supplementary adjacent angles . 66. DEFINITION . If two angles are together ...
Σελίδα 30
... angle formed by two intersecting lines is R.A. The bisector of an angle bisects its vertical angle . 80. EXERCISE . Two lines intersect , making the sum of one pair of vertical angles equal to five times the sum of the other pair of ...
... angle formed by two intersecting lines is R.A. The bisector of an angle bisects its vertical angle . 80. EXERCISE . Two lines intersect , making the sum of one pair of vertical angles equal to five times the sum of the other pair 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.