Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Σελίδα 9
... angle , consequently , will not be changed . 24. DEF . Adjacent Angles are angles having a common vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D A B C -F 25. DEF . A Right Angle is an angle ...
... angle , consequently , will not be changed . 24. DEF . Adjacent Angles are angles having a common vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D A B C -F 25. DEF . A Right Angle is an angle ...
Σελίδα 10
... right angles and the given angle . Thus ACD is the supplement of the angle D C B ; also D C B is the supplement of the angle A C D. 32. DEF . Vertical Angles are angles which have the same vertex , and their sides extending in opposite ...
... right angles and the given angle . Thus ACD is the supplement of the angle D C B ; also D C B is the supplement of the angle A C D. 32. DEF . Vertical Angles are angles which have the same vertex , and their sides extending in opposite ...
Σελίδα 11
... right angles ; and the sum of all the angles about a point on one side of a straight line drawn through that point , as AOB BOC + COD , etc. , Fig . 2 , is equal to two right angles . Hence two adjacent angles , O CA and OC B , formed ...
... right angles ; and the sum of all the angles about a point on one side of a straight line drawn through that point , as AOB BOC + COD , etc. , Fig . 2 , is equal to two right angles . Hence two adjacent angles , O CA and OC B , formed ...
Σελίδα 14
... right angle . rt . right angles . > is ( or are ) greater than . < is ( or are ) less than . rt . A right triangle . rt . A right triangles . O circle . - circles . + increased by . diminished by . X multiplied by . divided by . Post ...
... right angle . rt . right angles . > is ( or are ) greater than . < is ( or are ) less than . rt . A right triangle . rt . A right triangles . O circle . - circles . + increased by . diminished by . X multiplied by . divided by . Post ...
Σελίδα 15
... angles are equal . A B Let line 0 P cross A B at C. We are to prove = LOCB LACP . ZOCA + Z OCB ( being sup . - adj ... right angles . PROPOSITION II . THEOREM . 51. When the sum of PERPENDICULAR AND OBLIQUE LINES . 15 PERPENDICULAR AND ...
... angles are equal . A B Let line 0 P cross A B at C. We are to prove = LOCB LACP . ZOCA + Z OCB ( being sup . - adj ... right angles . PROPOSITION II . THEOREM . 51. When the sum of PERPENDICULAR AND OBLIQUE LINES . 15 PERPENDICULAR AND ...
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.