Chauvenet's Treatise on Elementary GeometryJ. B. Lippincott Company, 1887 - 322 páginas |
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Página 10
... locus , of a moving point . If a point starts to move from a given position , it must move in some definite direction ; if it continues to move in the same direction , its path is a straight line . If the direc tion in which the point ...
... locus , of a moving point . If a point starts to move from a given position , it must move in some definite direction ; if it continues to move in the same direction , its path is a straight line . If the direc tion in which the point ...
Página 30
... locus is the geometric figure containing all the points which possess a common property , and no others . In this definition , points are understood to have a common property when they satisfy the same geometrical conditions . Thus ...
... locus is the geometric figure containing all the points which possess a common property , and no others . In this definition , points are understood to have a common property when they satisfy the same geometrical conditions . Thus ...
Página 31
... locus of these points ; so that the preceding proposition is fully covered by the following brief statement : The perpendicular erected at the middle of a straight line is the locus of the points which are equally distant from the ...
... locus of these points ; so that the preceding proposition is fully covered by the following brief statement : The perpendicular erected at the middle of a straight line is the locus of the points which are equally distant from the ...
Página 32
... locus of the points equally distant from two intersecting straight lines is the pair of lines which bisect all the angles formed by the given lines . ( v . 19 , Exercise 2. ) 37. Definition . A broken line , as ABCDE , is called convex ...
... locus of the points equally distant from two intersecting straight lines is the pair of lines which bisect all the angles formed by the given lines . ( v . 19 , Exercise 2. ) 37. Definition . A broken line , as ABCDE , is called convex ...
Página iii
... locus of the points within the angle and equally distant from its sides . PROPOSITION XX . A convex broken line is less than any other line which envelops it and has the same extremities . PROPOSITION XXI . If two oblique lines drawn ...
... locus of the points within the angle and equally distant from its sides . PROPOSITION XX . A convex broken line is less than any other line which envelops it and has the same extremities . PROPOSITION XXI . If two oblique lines drawn ...
Otras ediciones - Ver todas
Chauvenet's Treatise on Elementary Geometry William Chauvenet,William Elwood Byerly Vista completa - 1887 |
Términos y frases comunes
ABCD adjacent angles altitude angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise Find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane angle plane MN plane passed polyedral angle Proposition VI Proposition VII quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron Theorem triangle ABC triangles are equal triangular prism triedral upper base vertex volume
Pasajes populares
Página 200 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 133 - The area of a rectangle is equal to the product of its base and altitude.
Página 137 - 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.
Página 117 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 214 - The acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line of that plane.
Página 113 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Página 38 - The sum of the three angles of any triangle is equal to two right angles.
Página 184 - 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.
Página 128 - Find the locus of a point the sum of whose distances from two given straight lines is equal to a given constant, k.
Página 52 - 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.