Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 53.
Σελίδα 6
... , 442 Corollary , 25 Corresponding angles , 113 Curved line , 7 Area , 561 Axiom , 27 Axioms , list of , 27 Decagon , 152 Degree , of angle , 347 of arc , 347 Determination of straight line , 246 Diagonal , 152 Diameter.
... , 442 Corollary , 25 Corresponding angles , 113 Curved line , 7 Area , 561 Axiom , 27 Axioms , list of , 27 Decagon , 152 Degree , of angle , 347 of arc , 347 Determination of straight line , 246 Diagonal , 152 Diameter.
Σελίδα 7
... Diagonal , 152 Diameter , 247 Direct 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 ...
... Diagonal , 152 Diameter , 247 Direct 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 ...
Σελίδα 47
... diagonal of a polygon is a straight line joining any two of its vertices that are not consecutive . A three - sided ... diagonals can be drawn from one vertex in a polygon of n sides ? How many from all the vertices ? PROPOSITION XXIV ...
... diagonal of a polygon is a straight line joining any two of its vertices that are not consecutive . A three - sided ... diagonals can be drawn from one vertex in a polygon of n sides ? How many from all the vertices ? PROPOSITION XXIV ...
Σελίδα 58
... diagonal BD . Show that Whence = Z3 Z4 . ( ? ) AABD - ABCD . - ABCD and BC = AD . Q.E.D. Let EFGH be a quadrilateral having EF GH and FG = EH . To prove EFGH a parallelogram . Draw the diagonal FH . Proof . Prove Whence AEFHA FGH . 122 ...
... diagonal BD . Show that Whence = Z3 Z4 . ( ? ) AABD - ABCD . - ABCD and BC = AD . Q.E.D. Let EFGH be a quadrilateral having EF GH and FG = EH . To prove EFGH a parallelogram . Draw the diagonal FH . Proof . Prove Whence AEFHA FGH . 122 ...
Σελίδα 59
Alan Sanders. 196. COROLLARY I. A diagonal of a parallelogram divides it into two triangles equal in all respects . 197. COROLLARY II . Two parallelograms are equal if they have two adjacent sides and the included angle of one equal ...
Alan Sanders. 196. COROLLARY I. A diagonal of a parallelogram divides it into two triangles equal in all respects . 197. COROLLARY II . Two parallelograms are equal if they have two adjacent sides and the included angle of one equal ...
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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.