Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Σελίδα 4
... perpendicular to each other if they meet at right angles , as DN and EF ( Fig . 11 ) . The point O is called the foot of the perpendicular DO . A B FIG . 13 . 36. Oblique angles are acute , obtuse , or reflex 4 GEOMETRY.
... perpendicular to each other if they meet at right angles , as DN and EF ( Fig . 11 ) . The point O is called the foot of the perpendicular DO . A B FIG . 13 . 36. Oblique angles are acute , obtuse , or reflex 4 GEOMETRY.
Σελίδα 6
... perpendicular to BO , and CO to DO , find AOD ( a ) if BOC = 60 ° , ( b ) if BOC = = m degrees . D FIG . 17 . X D ' B FIG . 18 . 21. What relation exists between the angles BOC and AOD in the preceding exercise ? 22. If , in the annexed ...
... perpendicular to BO , and CO to DO , find AOD ( a ) if BOC = 60 ° , ( b ) if BOC = = m degrees . D FIG . 17 . X D ' B FIG . 18 . 21. What relation exists between the angles BOC and AOD in the preceding exercise ? 22. If , in the annexed ...
Σελίδα 7
... perpendicular to CO , and BO is perpendicular to DO , find AOD , ( a ) if COB = 40 ° , ( b ) if COB = mo . A -B 1 , 3 6 4 5 FIG . 19 . FIG . 20 . 23. What relation exists between AOD and BOC in the preceding exercise ? 24. What angle is ...
... perpendicular to CO , and BO is perpendicular to DO , find AOD , ( a ) if COB = 40 ° , ( b ) if COB = mo . A -B 1 , 3 6 4 5 FIG . 19 . FIG . 20 . 23. What relation exists between AOD and BOC in the preceding exercise ? 24. What angle is ...
Σελίδα 9
... perpendicular to the line . ( 53 ) 55. The complements of the same or of equal angles are equal . ( Ax . 3. ) 56. The supplements of the same or of equal angles are equal . ( Ax . 3. ) 57. If two adjacent angles have their exterior ...
... perpendicular to the line . ( 53 ) 55. The complements of the same or of equal angles are equal . ( Ax . 3. ) 56. The supplements of the same or of equal angles are equal . ( Ax . 3. ) 57. If two adjacent angles have their exterior ...
Σελίδα 15
... perpendicular bisector of AB . To prove = AD BD . Ex . 37. The bisector of the vertical angle of an isosceles triangle bisects the A base . Ex . 38. Hyp . BF bisects DBE . To prove BD = = BE . LFDBL FEB . = Ex . 39. Hyp . In △ ABC ...
... perpendicular bisector of AB . To prove = AD BD . Ex . 37. The bisector of the vertical angle of an isosceles triangle bisects the A base . Ex . 38. Hyp . BF bisects DBE . To prove BD = = BE . LFDBL FEB . = Ex . 39. Hyp . In △ ABC ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal base angles bisect bisector chord circumference circumscribed cone cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 146 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 248 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Σελίδα 165 - The area of a rectangle is equal to the product of its base and altitude. 1\ u Hyp.
Σελίδα 303 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 45 - ... the third side of the first is greater than the third side of the second.
Σελίδα 117 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 29 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 178 - The areas of two triangles which have 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.
Σελίδα 150 - 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.
Σελίδα 148 - If, from a jwint without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and UK external segment.