Elements of Geometry and Conic SectionsHarper & Brothers, 1857 - 226 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 44
... inscribed angle is one whose sides are inscribed . 7. A polygon is said to be inscribed in a circle , when all its sides are inscribed . The circle is then said to be described about the polygon . 8. A secant is a line which cuts the ...
... inscribed angle is one whose sides are inscribed . 7. A polygon is said to be inscribed in a circle , when all its sides are inscribed . The circle is then said to be described about the polygon . 8. A secant is a line which cuts the ...
Σελίδα 55
... inscribed in the circle BAD . The angle BAD is measured by half the arc BD . First . Let C , the center of the ... inscribed angle , & c . Cor . 1. All the angles BAC , BDC , & c . , DE inscribed in the same segment are equal , for they ...
... inscribed in the circle BAD . The angle BAD is measured by half the arc BD . First . Let C , the center of the ... inscribed angle , & c . Cor . 1. All the angles BAC , BDC , & c . , DE inscribed in the same segment are equal , for they ...
Σελίδα 56
Elias Loomis. Cor . 3. Every angle inscribed in a segment greater than a semicircle is an acute angle , for it is measured by half an arc less than semicircumference . Every angle inscribed in a segment less than a semicircle is an ...
Elias Loomis. Cor . 3. Every angle inscribed in a segment greater than a semicircle is an acute angle , for it is measured by half an arc less than semicircumference . Every angle inscribed in a segment less than a semicircle is an ...
Σελίδα 80
... inscribed in a circle , is equivalent to the sum of the rectangles of the opposite sides . Let ABCD be any quadrilateral in- B scribed in a circle , and let the diagonals AC , BD be drawn ; the rectangle ACX BD is equivalent to the sum ...
... inscribed in a circle , is equivalent to the sum of the rectangles of the opposite sides . Let ABCD be any quadrilateral in- B scribed in a circle , and let the diagonals AC , BD be drawn ; the rectangle ACX BD is equivalent to the sum ...
Σελίδα 89
... inscribed in a semicircle , is a right angle ( Prop . XV . , Cor . 2 , B. III . ) . Hence the line AB is a perpendicular at the extremity of the radius CB ; it is , therefore , a tangent to the circumference ( Prop IX . , B. III ...
... inscribed in a semicircle , is a right angle ( Prop . XV . , Cor . 2 , B. III . ) . Hence the line AB is a perpendicular at the extremity of the radius CB ; it is , therefore , a tangent to the circumference ( Prop IX . , B. III ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone 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 given angle greater Hence Prop hyperbola inscribed intersection join latus rectum less Let ABC lines AC major axis mean proportional measured by half meet 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 side BC similar similar triangles solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC triangle DEF vertex vertices VIII
Δημοφιλή αποσπάσματα
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 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 101 - When you have proved that the three angles of every triangle are equal to two right angles...
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 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Σελίδα 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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 30 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.