The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 sider |
Inni boken
Resultat 1-5 av 43
Side vii
... Tangent Plancs .. 334 Spherical Triangles and Polygons ... 342 Relation of a Spherical Polygon to a Polyedral Angle 344 Symmetrical Spherical Triangles ... 345 Polar Triangles .... 349 Relative Areas of Spherical Figures .. 354 ...
... Tangent Plancs .. 334 Spherical Triangles and Polygons ... 342 Relation of a Spherical Polygon to a Polyedral Angle 344 Symmetrical Spherical Triangles ... 345 Polar Triangles .... 349 Relative Areas of Spherical Figures .. 354 ...
Side 75
... tangent to a circle is any straight line which meets the circumference , but , being pro- A- duced , does not cut it ... tangent to the circle at the point P. 183. Two circles are tangent to each other when they are tangent to the same ...
... tangent to a circle is any straight line which meets the circumference , but , being pro- A- duced , does not cut it ... tangent to the circle at the point P. 183. Two circles are tangent to each other when they are tangent to the same ...
Side 77
... tangent to the circumference , as ABCD . The circle is then said to be inscribed in the polygon . D B A 192. From the definition of a circle it follows : ( 1 ) The distance of a point from the centre of a circle is less than , equal to ...
... tangent to the circumference , as ABCD . The circle is then said to be inscribed in the polygon . D B A 192. From the definition of a circle it follows : ( 1 ) The distance of a point from the centre of a circle is less than , equal to ...
Side 85
... tangent to the O at A. Q. E.D. 210. COR . 1. Conversely , a tangent to a circle at any point is perpendicular to the radius drawn to that point . 211. COR . 2. The perpendicular to a tangent at the point of tangency passes though the ...
... tangent to the O at A. Q. E.D. 210. COR . 1. Conversely , a tangent to a circle at any point is perpendicular to the radius drawn to that point . 211. COR . 2. The perpendicular to a tangent at the point of tangency passes though the ...
Side 86
... tangent and CD is a secant . To prove arc CE = arc DE . Proof . Draw the radius OE to the pt . of contact E. Then OE is to AB ( 210 ) , C and to its || CD ... arc CE arc DE , ( 71 ) . ( 201 ) . CASE III . When AB , CD are tangents . To ...
... tangent and CD is a secant . To prove arc CE = arc DE . Proof . Draw the radius OE to the pt . of contact E. Then OE is to AB ( 210 ) , C and to its || CD ... arc CE arc DE , ( 71 ) . ( 201 ) . CASE III . When AB , CD are tangents . To ...
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ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Ingen forhåndsvisning tilgjengelig - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Side 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Side 45 - 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. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Side 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Side 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.