Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 4
... third , ✓a , · power . a , . . . indicates that the square root , cube root , .. of a is to be taken . is the sign of equality ; thus , a = b is read a is equal to b . > or < is the sign of inequality ; thus , a > b is read , a is ...
... third , ✓a , · power . a , . . . indicates that the square root , cube root , .. of a is to be taken . is the sign of equality ; thus , a = b is read a is equal to b . > or < is the sign of inequality ; thus , a > b is read , a is ...
Σελίδα 9
... third line are parallel to each other . If A C AB and CD || EF , then AB || CD ; for the three straight lines have the same direction . E B D F DEF . 2. Two straight lines that are not parallel BOOK I. ] 9 PARALLEL LINES . PARALLEL LINES.
... third line are parallel to each other . If A C AB and CD || EF , then AB || CD ; for the three straight lines have the same direction . E B D F DEF . 2. Two straight lines that are not parallel BOOK I. ] 9 PARALLEL LINES . PARALLEL LINES.
Σελίδα 10
... third line , EF , eight angles are formed , four exterior angles , 1 , 2 , 3 , 4 ; and four interior angles , 5 , 6 , 7 , 8. They are divided into the following pairs : — -B 1 \ 2 A 5 6 78 3 D DEF . 2. Corresponding angles are an ...
... third line , EF , eight angles are formed , four exterior angles , 1 , 2 , 3 , 4 ; and four interior angles , 5 , 6 , 7 , 8. They are divided into the following pairs : — -B 1 \ 2 A 5 6 78 3 D DEF . 2. Corresponding angles are an ...
Σελίδα 11
... third line cutting them makes , 1. The corresponding angles equal . 2. The alternate angles equal . 3. The sum of two opposite angles iliary line , BC . HYPOTH . 1. 2 = 8 . TO BE PROVED . AB || CD . two to PROOF . Since 28 , the differ ...
... third line cutting them makes , 1. The corresponding angles equal . 2. The alternate angles equal . 3. The sum of two opposite angles iliary line , BC . HYPOTH . 1. 2 = 8 . TO BE PROVED . AB || CD . two to PROOF . Since 28 , the differ ...
Σελίδα 12
... third line are parallel to each other . COR . 2. When ≤ 6 + 8 < 2R , it is evident that the lines AB and CD converge to the right : hence two lines converge on that side of the secant line on which the sum of the two opposite interior ...
... third line are parallel to each other . COR . 2. When ≤ 6 + 8 < 2R , it is evident that the lines AB and CD converge to the right : hence two lines converge on that side of the secant line on which the sum of the two opposite interior ...
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.