Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Αποτελέσματα 1 - 5 από τα 60.
Σελίδα 4
... . Two lines are 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.
... . Two lines are 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
... meet in a point . Which angle is the sum of AOB and BOC ? the sum of BOC and COD ? the difference between BOD and COD ? 15. In the same diagram , if AOB = 60 ° , BOC = 30 ° , and COD = 90 ° , find AOC , BOD , and AOD . 16. If the four ...
... meet in a point . Which angle is the sum of AOB and BOC ? the sum of BOC and COD ? the difference between BOD and COD ? 15. In the same diagram , if AOB = 60 ° , BOC = 30 ° , and COD = 90 ° , find AOC , BOD , and AOD . 16. If the four ...
Σελίδα 7
... meet in a point , O , forming six angles , 1 , 2 , 3 , 4 , 5 , and 6. Find angle 3 , if angle 1 80 ° and angle 5 = 60 ° . = GENERAL TERMS 42. A theorem is a geometrical truth requiring demonstration . 43. An axiom is a geometrical truth ...
... meet in a point , O , forming six angles , 1 , 2 , 3 , 4 , 5 , and 6. Find angle 3 , if angle 1 80 ° and angle 5 = 60 ° . = GENERAL TERMS 42. A theorem is a geometrical truth requiring demonstration . 43. An axiom is a geometrical truth ...
Σελίδα 10
... meet in a point , O , prove LAOEL FOD LAOC . = Ex . 29. In the same diagram , prove : LAOE + LEOD - LAOD = 2 ZAOC . Ex . 30. In the same diagram , prove : LAOC + LEOB + ZDOF 2 rt . 4 . Ex . 31. In the same diagram , prove : ZAOE + ZCOB ...
... meet in a point , O , prove LAOEL FOD LAOC . = Ex . 29. In the same diagram , prove : LAOE + LEOD - LAOD = 2 ZAOC . Ex . 30. In the same diagram , prove : LAOC + LEOB + ZDOF 2 rt . 4 . Ex . 31. In the same diagram , prove : ZAOE + ZCOB ...
Σελίδα 17
... meet in E , find four angles smaller than angle BEA . Ex . 45. If from any point D in △ ABC DA and DB are drawn , then LD > < C . HINT . - Draw DC . - A E a \ b c \ d 76. DEF . When two straight lines , AB and CD , are cut by a third ...
... meet in E , find four angles smaller than angle BEA . Ex . 45. If from any point D in △ ABC DA and DB are drawn , then LD > < C . HINT . - Draw DC . - A E a \ b c \ d 76. DEF . When two straight lines , AB and CD , are cut by a third ...
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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.