Elements of GeometryMacmillan Company, 1897 - Geometry |
From inside the book
Results 1-5 of 53
Page xvii
... position in space that is without magnitude is called a point . If a point move it will generate a line ; it may move at a snail's pace , or it may move with the rapidity of thought . The position of one point with respect to another ...
... position in space that is without magnitude is called a point . If a point move it will generate a line ; it may move at a snail's pace , or it may move with the rapidity of thought . The position of one point with respect to another ...
Page xviii
George Cunningham Edwards. The position of one point with respect to another determines direction . If we represent the position of one point by the letter ( 4 ) , placed near it , and the position of another point by the letter ( B ) ...
George Cunningham Edwards. The position of one point with respect to another determines direction . If we represent the position of one point by the letter ( 4 ) , placed near it , and the position of another point by the letter ( B ) ...
Page 1
... position of every point lying in the same direction ( § 2 ) , it will generate what is called a straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of ...
... position of every point lying in the same direction ( § 2 ) , it will generate what is called a straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of ...
Page 2
George Cunningham Edwards. The position of one point with respect to another determines direction . If we represent the position of one point by the letter ( 4 ) , placed near it , and the position of another point by the letter ( B ) ...
George Cunningham Edwards. The position of one point with respect to another determines direction . If we represent the position of one point by the letter ( 4 ) , placed near it , and the position of another point by the letter ( B ) ...
Page 3
... position of every point lying in the same direction ( § 2 ) , it will generate what is called a straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of ...
... position of every point lying in the same direction ( § 2 ) , it will generate what is called a straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of ...
Other editions - View all
Common terms and phrases
altitude angle bisector apothem auxiliary line axiom axis base bisect called centre changes of direction chord circumference coincide complete rotation congruent construct convex corresponding lines curve cylinder decagon determine diagonals diameter dicular diedral distance ellipse equal angles equally distant figure Find the locus fixed point frustum Geometry given circle given line given point greater hyperbola hypothenuse infinite number inscribed polygon interior angles isosceles joining lines be drawn lines forming Lune middle point NOTE number of sides oblique parabola parallelogram parallelopiped pass perimeter perpen perpendicular bisector Plane Geometry point of intersection position prism PROBLEM pyramid Q. E. D. Exercises quadrangle radii radius ratio rectangle regular polygon relations represent right angle right circular cone right triangle secant plane Show side opposite sphere spherical triangle square subtended surface THEOREM three sides triangular prism triedral vertex vertices volume
Popular passages
Page 25 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 26 - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.
Page 17 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 293 - SUITABLE FOR USE IN PREPARATORY SCHOOLS. SELECTED FROM THE LISTS OF THE MACMILLAN COMPANY, Publishers. ARITHMETIC FOR SCHOOLS. By JB LOCK, Author of " Trigonometry for Beginners" "Elementary Trigonometry" etc Edited and Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math.
Page 172 - Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.
Page 172 - Find the equation of the locus of a point which moves so that the sum of the squares of its distances from the x- and z-axes equals 4.
Page 100 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.