Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 15
... included angle of one equal respectively to two sides and the included angle of the other , the triangles are equal in all respects . B E A C Let the ABC and DEF have AB = DE , BC = LBLE . = To Prove the ABC and DEF equal in all ...
... included angle of one equal respectively to two sides and the included angle of the other , the triangles are equal in all respects . B E A C Let the ABC and DEF have AB = DE , BC = LBLE . = To Prove the ABC and DEF equal in all ...
Σελίδα 17
... included side of one equal respectively to two angles and the included side of the other , the triangles are equal in all respects . A ᄉᄉ Let the ABC and DEF have △ A = ZD , ≤ C = △ F , and AC DF . = To Prove the ABC and DEF equal ...
... included side of one equal respectively to two angles and the included side of the other , the triangles are equal in all respects . A ᄉᄉ Let the ABC and DEF have △ A = ZD , ≤ C = △ F , and AC DF . = To Prove the ABC and DEF equal ...
Σελίδα 35
... included angle . 102. EXERCISE . the included side . 103. EXERCISE . angles . 104. EXERCISE . Construct a triangle having given two angles and Construct an angle equal to the sum of two given Construct an angle that is double a given ...
... included angle . 102. EXERCISE . the included side . 103. EXERCISE . angles . 104. EXERCISE . Construct a triangle having given two angles and Construct an angle equal to the sum of two given Construct an angle that is double a given ...
Σελίδα 53
... included angles unequal , the third sides are unequal , and the greater third side belongs to the triangle having the greater included angle . A C D E F Let and To Prove Proof . the AABC and DEF have AB DE , BC = EF < B > LE . AC > DF ...
... included angles unequal , the third sides are unequal , and the greater third side belongs to the triangle having the greater included angle . A C D E F Let and To Prove Proof . the AABC and DEF have AB DE , BC = EF < B > LE . AC > DF ...
Σελίδα 54
... included angles are unequal , and the greater included angle belongs to the triangle having the greater third side . B E A Let AABC and DEF have AB DE , BC = EF , AC > DF . and To Prove < B > E . Proof . LBE , or B < ZE , or < B > ZE ...
... included angles are unequal , and the greater included angle belongs to the triangle having the greater third side . B E A Let AABC and DEF have AB DE , BC = EF , AC > DF . and To Prove < B > E . Proof . LBE , or B < ZE , or < B > ZE ...
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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.