Plane and Solid GeometryGinn, 1899 - 473 sider |
Inni boken
Resultat 1-5 av 65
Side 2
... denotes position simply . 9. It must be distinctly understood at the outset that the points , lines , surfaces , and solids of Geometry are purely ideal , though they are represented to the eye in a material way . Lines , for example ...
... denotes position simply . 9. It must be distinctly understood at the outset that the points , lines , surfaces , and solids of Geometry are purely ideal , though they are represented to the eye in a material way . Lines , for example ...
Side 13
... denoted by symbols . Thus , 5 degrees 13 minutes 12 seconds is written 5 ° 13 ' 12 " . A right angle is generated when OC has made one fourth of a revolution and contains 90 ° ; a straight angle , when OC has made half of a revolution ...
... denoted by symbols . Thus , 5 degrees 13 minutes 12 seconds is written 5 ° 13 ' 12 " . A right angle is generated when OC has made one fourth of a revolution and contains 90 ° ; a straight angle , when OC has made half of a revolution ...
Side 59
... Denote the int . of the polygon by A , B , C , D , E , and the corresponding ext . 4 by a , b , c , d , e . and ZA + Za = 2 rt . 4 , ZB + b = 2 rt . 4 , ( being sup . - adj . 4 ) . $ 89 In like manner each pair of adj . 4 = 2 rt . 4 ...
... Denote the int . of the polygon by A , B , C , D , E , and the corresponding ext . 4 by a , b , c , d , e . and ZA + Za = 2 rt . 4 , ZB + b = 2 rt . 4 , ( being sup . - adj . 4 ) . $ 89 In like manner each pair of adj . 4 = 2 rt . 4 ...
Side 96
... denote the differences between x , y , z ,. and a , b , Then d + d ' ′ + d ′′ + · ... can be made less than any ... denotes the limit of x , then x cannot be equal to a . Therefore , kx cannot be equal to ka . 2. The limit of ( a − x ) ...
... denote the differences between x , y , z ,. and a , b , Then d + d ' ′ + d ′′ + · ... can be made less than any ... denotes the limit of x , then x cannot be equal to a . Therefore , kx cannot be equal to ka . 2. The limit of ( a − x ) ...
Side 97
... factor is a constant . If we denote xxx to n factors by the variable y , and aaa ... to n factors by the constant b , we have the limit of VyVb . = 284. Theorem . If two variables are constantly equal , THEORY OF LIMITS . 97.
... factor is a constant . If we denote xxx to n factors by the variable y , and aaa ... to n factors by the constant b , we have the limit of VyVb . = 284. Theorem . If two variables are constantly equal , THEORY OF LIMITS . 97.
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Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angles are equal apothem axis bisector bisects called centre chord circumference circumscribed coincide construct cylinder denote diagonals diameter dihedral angles divided Draw equiangular equidistant equilateral triangle equivalent exterior angle feet Find the area Find the locus frustum given circle given line given point given straight line greater Hence homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle lateral area lateral edges limit middle point number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedron prism prismatoid Proof proportional prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon respectively rhombus right angle right circular right triangle segments similar slant height sphere spherical square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangle is equal trihedral vertex vertices
Populære avsnitt
Side 274 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Side 50 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Side 66 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 41 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Side 169 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Side 360 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 71 - The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs, is equal to the altitude upon one of the arms.
Side 156 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Side 71 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.
Side 383 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.