Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 34
... circumference ; as , AD . 4. A radius is a line drawn from the centre to the circumference ; as , OC or OA . 5. A diameter is a line passing through the centre , and terminated each way by the circumference ; as , AB . COR . 1. A radius ...
... circumference ; as , AD . 4. A radius is a line drawn from the centre to the circumference ; as , OC or OA . 5. A diameter is a line passing through the centre , and terminated each way by the circumference ; as , AB . COR . 1. A radius ...
Σελίδα 35
... circumference is equally distant from the centre . Hence ACB ≈ ADB . A B D DEF . The segment ACB is called a semicircle ; and the arc ACB , a semi - circumference . III . Theorem . A straight line cannot have more than two points ...
... circumference is equally distant from the centre . Hence ACB ≈ ADB . A B D DEF . The segment ACB is called a semicircle ; and the arc ACB , a semi - circumference . III . Theorem . A straight line cannot have more than two points ...
Σελίδα 36
... circumference ( 1 , Cor . 2 ) . Any point , G , in AB extended , is farther from the centre , C ( I. , 30 ) , and is without the circumference ( 1 , Cor . 2 ) . Hence A and B are the only two points of the line AB common with the ...
... circumference ( 1 , Cor . 2 ) . Any point , G , in AB extended , is farther from the centre , C ( I. , 30 ) , and is without the circumference ( 1 , Cor . 2 ) . Hence A and B are the only two points of the line AB common with the ...
Σελίδα 39
... circumference into four equal D B · - parts . Each part of the circumference is called a quadrant . COR . 3. Draw the radius OCAB . OC bisects the angle AOB ( I. , 25 ) ; or ≤ AOC = BOC : hence arc AC BC . Also AD = DB ( I. , 25 , Cor ...
... circumference into four equal D B · - parts . Each part of the circumference is called a quadrant . COR . 3. Draw the radius OCAB . OC bisects the angle AOB ( I. , 25 ) ; or ≤ AOC = BOC : hence arc AC BC . Also AD = DB ( I. , 25 , Cor ...
Σελίδα 42
... circumference ; as , ZABC . 2. A poly- D gon is inscribed C when all its angles are in- scribed . The circle is said to be cir- cumscribed about the polygon . 3. A secant is a straight line that cuts the circumference in two points . 4 ...
... circumference ; as , ZABC . 2. A poly- D gon is inscribed C when all its angles are in- scribed . The circle is said to be cir- cumscribed about the polygon . 3. A secant is a straight line that cuts the circumference in two points . 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.