Elementary GeometryJ.B. Lippincott Company, 1893 |
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Page 10
... formed under given condi- tions . Figures formed by points and lines in a 10 ELEMENTS OF GEOMETRY .
... formed under given condi- tions . Figures formed by points and lines in a 10 ELEMENTS OF GEOMETRY .
Page 11
William Chauvenet. tions . Figures formed by points and lines in a plane are called plane figures . Those formed by straight lines alone are called rectilinear , or right - lined , figures ; a straight line being often called a right ...
William Chauvenet. tions . Figures formed by points and lines in a plane are called plane figures . Those formed by straight lines alone are called rectilinear , or right - lined , figures ; a straight line being often called a right ...
Page 12
... formed at the same point by different lines , as OA , OB , OC , we designate the angle intended by three letters ; namely , by one letter on each of its sides , together with the one at its vertex , which must be written between the ...
... formed at the same point by different lines , as OA , OB , OC , we designate the angle intended by three letters ; namely , by one letter on each of its sides , together with the one at its vertex , which must be written between the ...
Page 13
... formed by the exterior sides of the two angles is their sum . B 3. A clear notion of the magnitude of an angle will be obtained by supposing that one of its sides , as OB , was at first coincident with the other side OA , and that it ...
... formed by the exterior sides of the two angles is their sum . B 3. A clear notion of the magnitude of an angle will be obtained by supposing that one of its sides , as OB , was at first coincident with the other side OA , and that it ...
Page 14
... forming no angle with each other — that is , two straight lines in the same plane which will not meet , however far ... formed by the sides with each other ; viz . , CAB , ABC , BCA . The three angular points , A , B , C , which are the ...
... forming no angle with each other — that is , two straight lines in the same plane which will not meet , however far ... formed by the sides with each other ; viz . , CAB , ABC , BCA . The three angular points , A , B , C , which are the ...
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Common terms and phrases
ABCD adjacent angles altitude angle BAC 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 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
Popular passages
Page 127 - The area of a rectangle is equal to the product of its base and altitude.
Page 196 - 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.
Page 131 - 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.
Page 245 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Page 111 - 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.
Page 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Page 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 34 - The sum of the three angles of any triangle is equal to two right angles.