Elements of GeometryMacmillan Company, 1897 - Geometry |
From inside the book
Results 1-5 of 26
Page 11
... oblique . E FIG . 8 . H A Angles which occupy toward each other the position that AOB and EOF do , are said to be vertical . AOF and BOE are vertical . NOTE . —Although straight lines and planes both extend to in- finity , it is only ...
... oblique . E FIG . 8 . H A Angles which occupy toward each other the position that AOB and EOF do , are said to be vertical . AOF and BOE are vertical . NOTE . —Although straight lines and planes both extend to in- finity , it is only ...
Page 32
... oblique lines , from a point in a perpendicular , intersecting the base line at different distances from the foot of the perpendicular , make unequal angles with the base line . 4. Show that an exterior angle of a triangle equals the ...
... oblique lines , from a point in a perpendicular , intersecting the base line at different distances from the foot of the perpendicular , make unequal angles with the base line . 4. Show that an exterior angle of a triangle equals the ...
Page 33
... oblique lines be drawn to the base of any two , the one which meets the base at the greater distance from the foot of the perpendicu- lar will be the greater . d . C FIG . 34 . FIG . 35 . 7. Show how to construct a triangle , having ...
... oblique lines be drawn to the base of any two , the one which meets the base at the greater distance from the foot of the perpendicu- lar will be the greater . d . C FIG . 34 . FIG . 35 . 7. Show how to construct a triangle , having ...
Page 35
... Oblique , when none of its angles are 90 ° . Obtuse , when one of its angles is > 90 ° . Acute , when each of its angles is < 90 ° . Equiangular , when the three angles are equal to each other . Equilateral , when the three sides are ...
... Oblique , when none of its angles are 90 ° . Obtuse , when one of its angles is > 90 ° . Acute , when each of its angles is < 90 ° . Equiangular , when the three angles are equal to each other . Equilateral , when the three sides are ...
Page 43
... oblique parallelogram ( none of the angles being 90 ° ) are equal ,廾 FIG . 50. -RHOMBUS . the figure is called a rhombus . A quadrangle not having any side parallel to any other side is sometimes called a trapezium . 37. THEOREM . The ...
... oblique parallelogram ( none of the angles being 90 ° ) are equal ,廾 FIG . 50. -RHOMBUS . the figure is called a rhombus . A quadrangle not having any side parallel to any other side is sometimes called a trapezium . 37. THEOREM . The ...
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.