Elements of Geometry |
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Page 11
... oblique . B E A H FIG . 8 . 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 . B E A H FIG . 8 . 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 . b d e 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 . b d e 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 , # 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 , # 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 ...
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Common terms and phrases
AB² altitude Analysis apothem approach auxiliary line axis base bisect called centre chord circumference circumscribed polygon coincide cone convex convex polygon corresponding lines curve cylinder decagon determine diagonals diameter dicular diedral distance ellipse equally distant figure Find the locus fixed point frustum Geometry given circle given line given point given segment greater Hence hypothenuse inscribed polygon interior angles isosceles joining lines be drawn middle point move NOTE number of sides oblique parabola parallel parallelogram parallelopiped pass perimeter perpen perpendicular bisector point of intersection position prism PROBLEM pyramids Q. E. D. Exercises quadrangle radii radius ratio re-entrant polygon rectangle regular polygon represent right angles right circular cone right triangle rotation secant Show side opposite similar 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.