Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 46.
Σελίδα 44
... described about the polygon . 8. A secant is a line which cuts the cir- cumference , and lies partly within and partly without the circle . 9. A straight line is said to touch a circle , when it meets the circumference , and , being ...
... described about the polygon . 8. A secant is a line which cuts the cir- cumference , and lies partly within and partly without the circle . 9. A straight line is said to touch a circle , when it meets the circumference , and , being ...
Σελίδα 45
... described about a circle , when each side of the polygon touches the cir- cumference of the circle . In the same case , the circle is said to be in- scribed in the polygon . © PROPOSITION I. THEOREM . Every diameter divides the circle ...
... described about a circle , when each side of the polygon touches the cir- cumference of the circle . In the same case , the circle is said to be in- scribed in the polygon . © PROPOSITION I. THEOREM . Every diameter divides the circle ...
Σελίδα 49
... described from the center F with the radius FA will pass through the three given points A , B , C. A Secondly . No other circumference can pass through the same points . For , if there were a second , its center could not be out of the ...
... described from the center F with the radius FA will pass through the three given points A , B , C. A Secondly . No other circumference can pass through the same points . For , if there were a second , its center could not be out of the ...
Σελίδα 55
... described with equal radii . Cor . 2. In equal circles , sectors are to each other as their arcs ; for sectors are equal when their angles are equal . PROPOSITION XV . THEOREM . An inscribed angle is measured by half the arc included be ...
... described with equal radii . Cor . 2. In equal circles , sectors are to each other as their arcs ; for sectors are equal when their angles are equal . PROPOSITION XV . THEOREM . An inscribed angle is measured by half the arc included be ...
Σελίδα 63
... described on BC . If these two parts are taken from the entire square , there will remain the two rect- angles BCIG ... described on the difference of two lines , is equiv- alent to the sum of the squares of the lines , diminished by ...
... described on BC . If these two parts are taken from the entire square , there will remain the two rect- angles BCIG ... described on the difference of two lines , is equiv- alent to the sum of the squares of the lines , diminished by ...
Άλλες εκδόσεις - Προβολή όλων
ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
Σελίδα 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Σελίδα 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Σελίδα 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 17 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
Σελίδα 148 - I.), that every section of a sphere made by a plane is a circle.