Treatise on Plane and Solid Geometry for Colleges, Schools, and Private StudentsWilson, Hinkle & Company, 1873 - 276 sider |
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Resultat 1-5 av 99
Side 84
... equal chords , what is the locus of their points of bisection ? 21. If any ... equal . 24. To draw a circumference with a given radius , so that the sides of a given ... TRIANGLES . 246. Next in regular order is 84 ELEMENTS OF GEOMETRY .
... equal chords , what is the locus of their points of bisection ? 21. If any ... equal . 24. To draw a circumference with a given radius , so that the sides of a given ... TRIANGLES . 246. Next in regular order is 84 ELEMENTS OF GEOMETRY .
Side 86
... triangle there is a point equally distant from the three sides . In the triangle ABC , let lines bisecting the angles A and ... equal to the distance of D from either side , a circum- ference may be described , to which every side of the ...
... triangle there is a point equally distant from the three sides . In the triangle ABC , let lines bisecting the angles A and ... equal to the distance of D from either side , a circum- ference may be described , to which every side of the ...
Side 87
... equal to two right angles . Let the line DE pass through the vertex of one an- gle , B , parallel to the op- posite side , AC . Then the angle A is equal ... triangle has one of the angles obtuse PROPERTIES OF TRIANGLES . 87.
... equal to two right angles . Let the line DE pass through the vertex of one an- gle , B , parallel to the op- posite side , AC . Then the angle A is equal ... triangle has one of the angles obtuse PROPERTIES OF TRIANGLES . 87.
Side 88
... triangle are re- spectively equal to two angles of another , then the third angles are also equal . 263. Either side of a triangle may be taken as the base . Then the vertex of the angle opposite the base is the vertex of the triangle ...
... triangle are re- spectively equal to two angles of another , then the third angles are also equal . 263. Either side of a triangle may be taken as the base . Then the vertex of the angle opposite the base is the vertex of the triangle ...
Side 89
... triangle is smaller than the sum of the other two , and greater than their dif- ference . The first part of this theorem is an immediate conse ... equal . An ISOSCELES triangle is one which has only two sides equal . A ... TRIANGLES . 69.
... triangle is smaller than the sum of the other two , and greater than their dif- ference . The first part of this theorem is an immediate conse ... equal . An ISOSCELES triangle is one which has only two sides equal . A ... TRIANGLES . 69.
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ... Eli Todd Tappan Uten tilgangsbegrensning - 1864 |
Treatise on Plane and Solid Geometry: For Colleges, Schools, and Private ... Eli Todd Tappan Ingen forhåndsvisning tilgjengelig - 2017 |
Treatise on Plane and Solid Geometry: For Colleges, Schools, and Private ... Eli Todd Tappan Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
adjacent angles altitude angles are equal angles equal angles formed apothem arc BD bisect called chord circle circumference circumscribed coincide cone Corollary Corollary.-The curve demonstration diagonals diameter dicular direction distance divided edges equal angles equally distant equivalent extent exterior angles faces figure four right angles frustum geometry given angle given line given point given straight line given triangle gles greater Hence homologous lines hypotenuse hypothesis inscribed intersection isosceles triangle less let fall measured by half number of sides opposite sides parallel lines parallelogram parallelopiped perimeter perpen perpendicular plane polyedral polyedron principle prism PROBLEMS IN DRAWING proportion proposition pyramid quadrilateral radii radius ratio rectangle regular polygon respectively equal rhombus right angled triangle secant similar triangles similarly arranged slant hight sphere spherical square described surface symmetrical tangent tetraedrons theorem Theorem.-The triangle ABC triangles are equal triedral vertex vertices
Populære avsnitt
Side 98 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Side 52 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Side 182 - ... the plane at equal distances from the foot of the perpendicular, are equal...
Side 141 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 124 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Side 238 - Corollary. — The volume of any pyramid is equal to one-third of the product of its base by its altitude. For any pyramid...
Side 173 - The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary — When the radius is unity, the area is expressed by ;r. 503. Theorem — The area of a sector is measured by half the product of its arc by its radius.
Side 214 - The height of a cone is the perpendicular distance from the vertex to the plane of the base.
Side 233 - COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude.
Side 57 - Problem. — To draw a line through a given point parallel to a given line. Let a perpendicular fall from the point on the line.