Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 8
... Rectangle , 194 Regular polygon , 707 angle at center of , 716 apothem of , 716 center of , 716 Rhomboid , 194 Rhombus , 194 Right angle , 16 Right - angled triangle , 18 Right side of angle , 130 Scalene triangle , 18 Scholium , 26 ...
... Rectangle , 194 Regular polygon , 707 angle at center of , 716 apothem of , 716 center of , 716 Rhomboid , 194 Rhombus , 194 Right angle , 16 Right - angled triangle , 18 Right side of angle , 130 Scalene triangle , 18 Scholium , 26 ...
Σελίδα 58
... rectangle . A parallelogram whose angles are oblique angles is a rhomboid . A square is an equilateral rectangle ; and a rhombus is an equilateral rhomboid . PROPOSITION XXXII . THEOREM 195. The opposite sides of a parallelogram are ...
... rectangle . A parallelogram whose angles are oblique angles is a rhomboid . A square is an equilateral rectangle ; and a rhombus is an equilateral rhomboid . PROPOSITION XXXII . THEOREM 195. The opposite sides of a parallelogram are ...
Σελίδα 62
... rectangle is not a square . ) To prove that the diagonals do not bisect the angles of the rectangle , show that s 4 and 5 of △ ACD are unequal , but 23 = 24 . ( ? ) .. ≤3 and 25 are unequal . 211. COROLLARY IV . The diagonals of a ...
... rectangle is not a square . ) To prove that the diagonals do not bisect the angles of the rectangle , show that s 4 and 5 of △ ACD are unequal , but 23 = 24 . ( ? ) .. ≤3 and 25 are unequal . 211. COROLLARY IV . The diagonals of a ...
Σελίδα 65
... rectangle and a rhomboid have equal bases and equal altitudes , the perimeter of the rectangle is less than that of the rhomboid . SANDERS ' GEOM . 5 - PROPOSITION XXXVIII . THEOREM 230. Any point on the bisector BOOK I 65.
... rectangle and a rhomboid have equal bases and equal altitudes , the perimeter of the rectangle is less than that of the rhomboid . SANDERS ' GEOM . 5 - PROPOSITION XXXVIII . THEOREM 230. Any point on the bisector BOOK I 65.
Σελίδα 73
... rectangle , which is not a square . 19. From two points on the same side of a line draw two lines meeting in the line and making equal angles with it . 20. Prove that the sum of AC and BC ( the lines that make equal angles with xy ) is ...
... rectangle , which is not a square . 19. From two points on the same side of a line draw two lines meeting in the line and making equal angles with it . 20. Prove that the sum of AC and BC ( the lines that make equal angles with xy ) is ...
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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.