Elements of Geometry and Conic SectionsHarper, 1858 - 234 sider |
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Resultat 1-5 av 32
Side 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 ...
Side 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 . A DE C Cor . 1. All the angles BAC , BDC , & c . , inscribed in the same segment are equal , for ...
... 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 . A DE C Cor . 1. All the angles BAC , BDC , & c . , inscribed in the same segment are equal , for ...
Side 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 a 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 a semicircumference . Every angle inscribed in a segment less than a semicircle is an ...
Side 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 ...
Side 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 ...
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Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC Loomis major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN prism Professor of Mathematics PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment side AC similar similar triangles slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Side 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, their third sides will be equal, and their other angles will be equal, each to each.
Side 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 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.
Side 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.
Side 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.
Side 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.
Side 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Side 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.
Side 44 - 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.