Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Αποτελέσματα 1 - 5 από τα 87.
Σελίδα 5
... of two straight lines drawn from the same point ; as , AOB . The common point , O , is called the vertex ; the lines OA and OB , the sides of the angle . B A An angle may be designated by the letter at the LINES AND ANGLES.
... of two straight lines drawn from the same point ; as , AOB . The common point , O , is called the vertex ; the lines OA and OB , the sides of the angle . B A An angle may be designated by the letter at the LINES AND ANGLES.
Σελίδα 6
... sides , and the one at the vertex between them ; as , A angle x or AOB , angle y or BOC . Angles may be added ; as , AOB + BOC AOC . DEF . 2. The sign stands for angle ; as , ZAOB . line OB be turned about the point O towards OA , the ...
... sides , and the one at the vertex between them ; as , A angle x or AOB , angle y or BOC . Angles may be added ; as , AOB + BOC AOC . DEF . 2. The sign stands for angle ; as , ZAOB . line OB be turned about the point O towards OA , the ...
Σελίδα 7
... side between them , are called contiguous angles ; as , ZAOB ' and B'OB . When the two outer sides , OA and OB , lie in ... sides will correspond .. COR . 2. All right angles are equal ( 3 , 3 ) . COR . 3. From a point in a straight line ...
... side between them , are called contiguous angles ; as , ZAOB ' and B'OB . When the two outer sides , OA and OB , lie in ... sides will correspond .. COR . 2. All right angles are equal ( 3 , 3 ) . COR . 3. From a point in a straight line ...
Σελίδα 8
... side of AB , is also equal to two right angles . Hence all the angles formed about a point are together equal to ... sides form one straight line . HYPOTHESIS . AOC + COB = 2R . B A TO PROVE . BO and OA form one straight line . PROOF ...
... side of AB , is also equal to two right angles . Hence all the angles formed about a point are together equal to ... sides form one straight line . HYPOTHESIS . AOC + COB = 2R . B A TO PROVE . BO and OA form one straight line . PROOF ...
Σελίδα 10
... side of the cutting line , but not ad- jacent ; as , 2 and 8 , 6 and 4 , 1 and 7 , 5 and 3 . DEF . 3. Alternate angles are two exterior angles or two interior angles on opposite sides of the secant line , but not adjacent ; as , 1 and 4 ...
... side of the cutting line , but not ad- jacent ; as , 2 and 8 , 6 and 4 , 1 and 7 , 5 and 3 . DEF . 3. Alternate angles are two exterior angles or two interior angles on opposite sides of the secant line , but not adjacent ; as , 1 and 4 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angles are equal anharmonic ratio bisect called centre chord circle circumference circumscribed polygon cone congruent construct cylinder diagonals diameter dihedrals distance divided draw equal altitudes equal bases equally distant equations equiangular EXERCISE exterior angle face angles formed frustum Geometry harmonically hence homologous HYPOTH infinite number inscribed angle intersection lateral edges line joining lines drawn locus middle point number of sides Olney's opposite sides P₁ parallel lines parallelogram parallelopiped pass perpendicular plane angle point of contact polar pole polyhedral polyhedron prism Problem PROOF proportional PROVED pyramid quadrilateral radical axis radii radius rectangle regular polygon right angles SCHOLIUM segments solid angle sphere spherical excess spherical polygon spherical triangle square straight line symmetrical tangent Theorem triangle ABC trihedrals vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 19 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 34 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 14 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Σελίδα 75 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 170 - Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent.
Σελίδα 69 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.