Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 94.
Σελίδα 6
... Altitude , of parallelogram , 561 of trapezoid , 561 of triangle , 220 Analysis , 246 Angle , 13 acute , 17 at center of a regular polygon , 716 degree of , 347 inscribed , 354 oblique , 17 obtuse , 17 right , 16 Base , of isosceles ...
... Altitude , of parallelogram , 561 of trapezoid , 561 of triangle , 220 Analysis , 246 Angle , 13 acute , 17 at center of a regular polygon , 716 degree of , 347 inscribed , 354 oblique , 17 obtuse , 17 right , 16 Base , of isosceles ...
Σελίδα 7
... altitude of , 561 bases of , 561 Pentagon , 152 Pentedecagon , 152 Perimeter of polygon , 152 Perpendicular lines , 16 Plane surface , 8 angle , 13 figure , 10 Point , 5 geometry , 12 Polar , 521 Pole , 521 Interior angles , 113 ...
... altitude of , 561 bases of , 561 Pentagon , 152 Pentedecagon , 152 Perimeter of polygon , 152 Perpendicular lines , 16 Plane surface , 8 angle , 13 figure , 10 Point , 5 geometry , 12 Polar , 521 Pole , 521 Interior angles , 113 ...
Σελίδα 8
... altitude of , 561 bases of , 561 Triangle , 18 altitude of , 220 equiangular , 18 equilateral , 18 isosceles , 18 median of , 173 right - angled , 18 scalene , 18 Variable , 340 Vertex of angle , 13 Vertical angles , 75 in isosceles ...
... altitude of , 561 bases of , 561 Triangle , 18 altitude of , 220 equiangular , 18 equilateral , 18 isosceles , 18 median of , 173 right - angled , 18 scalene , 18 Variable , 340 Vertex of angle , 13 Vertical angles , 75 in isosceles ...
Σελίδα 64
... altitude of a triangle is a perpendic- ular drawn from the vertex of any angle to the opposite side . 221. EXERCISE . The sum of the altitudes of a triangle is less than the perimeter . PROPOSITION XXXVII . THEOREM 222. Two parallels ...
... altitude of a triangle is a perpendic- ular drawn from the vertex of any angle to the opposite side . 221. EXERCISE . The sum of the altitudes of a triangle is less than the perimeter . PROPOSITION XXXVII . THEOREM 222. Two parallels ...
Σελίδα 65
... a 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.
... a 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.
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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.