Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Σελίδα v
... less simple , treatment of Parallels , Ratio , and Limits . The changes are not sufficient to prevent the simulta- neous use of the old and new editions in the class ; still they are very important , and have been made after the most ...
... less simple , treatment of Parallels , Ratio , and Limits . The changes are not sufficient to prevent the simulta- neous use of the old and new editions in the class ; still they are very important , and have been made after the most ...
Σελίδα 9
... less than a right angle ; as the angle BA C. 28. DEF . An Obtuse Angle is an angle greater than a right angle ; as the angle DEF . C D B B A C F D E 29. DEF . Acute and obtuse angles , in distinction from right angles , are called ob ...
... less than a right angle ; as the angle BA C. 28. DEF . An Obtuse Angle is an angle greater than a right angle ; as the angle DEF . C D B B A C F D E 29. DEF . Acute and obtuse angles , in distinction from right angles , are called ob ...
Σελίδα 12
... less than A ' B ' C " ; but if the side BA fall in the direction B'E , the angle A B C is greater than A ' B ' C ' . This method of superposition en- ables us to add magnitudes of the same kind . Thus , if we have two straight lines AB ...
... less than A ' B ' C " ; but if the side BA fall in the direction B'E , the angle A B C is greater than A ' B ' C ' . This method of superposition en- ables us to add magnitudes of the same kind . Thus , if we have two straight lines AB ...
Σελίδα 14
... less than . rt . A right triangle . rt . A right triangles . O circle . - circles . + increased by . diminished by . X multiplied by . divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary ...
... less than . rt . A right triangle . rt . A right triangles . O circle . - circles . + increased by . diminished by . X multiplied by . divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary ...
Σελίδα 38
... , as ≤ CBD . 95. DEF . The two angles of a triangle which are opposite the exterior angle , are called the two opposite interior angles , as A and C. B C 96. Any side of a triangle is less 38 888 BOOK I. - GEOMETRY .
... , as ≤ CBD . 95. DEF . The two angles of a triangle which are opposite the exterior angle , are called the two opposite interior angles , as A and C. B C 96. Any side of a triangle is less 38 888 BOOK I. - GEOMETRY .
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.