Schultze and Sevenoak's Plane and Solid Geometry |
From inside the book
Results 1-5 of 57
Page 2
... ment , or line - segment , is represented by a line whose ends are marked ; as AB . The length of this line is also called the distance from A to B. Ar B D A line whose ends are not marked represents a line 2 PLANE GEOMETRY.
... ment , or line - segment , is represented by a line whose ends are marked ; as AB . The length of this line is also called the distance from A to B. Ar B D A line whose ends are not marked represents a line 2 PLANE GEOMETRY.
Page 10
... ( segments ) from one position to another . † A line in a plane is said to be closed if it separates a finite portion of the plane from the remaining portion . EXERCISES IN GEOMETRIC DRAWING 39. The following exercises are designed 10 ...
... ( segments ) from one position to another . † A line in a plane is said to be closed if it separates a finite portion of the plane from the remaining portion . EXERCISES IN GEOMETRIC DRAWING 39. The following exercises are designed 10 ...
Page 69
... segments from the foot of the perpendicular , the more remote is the greater . Ex . 319. If ZA of △ ABC equals two thirds of a right angle , and the exterior angle DBC equals 110 ° , which is the greatest side of the triangle ? which ...
... segments from the foot of the perpendicular , the more remote is the greater . Ex . 319. If ZA of △ ABC equals two thirds of a right angle , and the exterior angle DBC equals 110 ° , which is the greatest side of the triangle ? which ...
Page 81
... draw any line AC . On AC lay off any segment , as AD , n times in succession , as AD , DE , etc. Join the last point of division , G , with ♧ G Through the other points of division on AG draw parallels QUADRILATERALS 81.
... draw any line AC . On AC lay off any segment , as AD , n times in succession , as AD , DE , etc. Join the last point of division , G , with ♧ G Through the other points of division on AG draw parallels QUADRILATERALS 81.
Page 93
... segment of the median between the point of inter- section and the vertex is twice its other segment . D Given the medians DC and AE of △ ABC meeting in 0 . To prove 402 ( OE ) ; and co = 2 ( OD ) . = Analysis . 1. The means of proving ...
... segment of the median between the point of inter- section and the vertex is twice its other segment . D Given the medians DC and AE of △ ABC meeting in 0 . To prove 402 ( OE ) ; and co = 2 ( OD ) . = Analysis . 1. The means of proving ...
Other editions - View all
Common terms and phrases
altitude angle equal angle formed angles are equal annexed diagram bisect bisector chord circumference circumscribed congruent cylinder diagonals diagram for Prop diameter dihedral angles divide draw drawn equiangular polygon equilateral triangle equivalent exterior angle face angles Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inscribed intersecting isosceles triangle LAOB lateral area lateral edge line joining locus median parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism produced PROPOSITION prove Proof pyramid Q. E. D. Ex quadrilateral radii ratio rectangle reflex angle regular polygon respectively equal rhombus right angles right triangle segments sphere spherical polygon spherical triangle square straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal trihedral vertex angle vertices
Popular passages
Page 82 - 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.
Page 222 - 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 192 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Page 208 - The area of a rectangle is equal to the product of its base and altitude.
Page 67 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.
Page 177 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 25 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 70 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 188 - Pythagorean theorem, which states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.
Page 409 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...