The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 5
... sides . -B 21. If there is but one angle at a given vertex , it may be designated by the letter at that vertex ; but if two or more angles have the same vertex , we avoid ambiguity by naming also a letter on each side , placing the ...
... sides . -B 21. If there is but one angle at a given vertex , it may be designated by the letter at that vertex ; but if two or more angles have the same vertex , we avoid ambiguity by naming also a letter on each side , placing the ...
Σελίδα 6
... sides AB and BC on sides DE and EF , respec- tively , the angles are equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . 23. Two angles are said to be adjacent when they have the same vertex , and ...
... sides AB and BC on sides DE and EF , respec- tively , the angles are equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . 23. Two angles are said to be adjacent when they have the same vertex , and ...
Σελίδα 9
... sides in the same straight line , their sum is equal to two right angles . A C B Let angles ACD and BCD have their sides AC and BC in the same straight line . To prove the sum of angles ACD and BCD equal to two right angles . Draw line ...
... sides in the same straight line , their sum is equal to two right angles . A C B Let angles ACD and BCD have their sides AC and BC in the same straight line . To prove the sum of angles ACD and BCD equal to two right angles . Draw line ...
Σελίδα 12
... sides in str . line CD , ZAOC is the supplement of △ AOD . [ If two adj . △ have their ext . sides in the same str . line , they are supplementary . ] ( $ 33 ) For the same reason , △ BOD is the supplement of △ AOD . .. ZAOC ...
... sides in str . line CD , ZAOC is the supplement of △ AOD . [ If two adj . △ have their ext . sides in the same str . line , they are supplementary . ] ( $ 33 ) For the same reason , △ BOD is the supplement of △ AOD . .. ZAOC ...
Σελίδα 23
... side of the triangle and the adjacent side produced ; as ACD . B 58. A triangle is called scalene when no two of its sides are equal ; isosceles when two of its sides are equal ; equi- lateral when all its sides are equal ; and ...
... side of the triangle and the adjacent side produced ; as ACD . B 58. A triangle is called scalene when no two of its sides are equal ; isosceles when two of its sides are equal ; equi- lateral when all its sides are equal ; and ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equal respectively equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism Prove pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 58 - 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.
Σελίδα 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.