Elements of Geometry and Conic SectionsHarper & brothers, 1861 - 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 c.rcle 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 cir ...
... inscribed angle is one whose sides are inscribed . 7. A polygon is said to be inscribed in a c.rcle 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 cir ...
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 AC × 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 AC × 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 CA² chord circle circumference cone contained 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 point given straight line greater hyperbola hypothenuse inscribed intersect join latus rectum 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 quadrant radii radius ratio rectangle regular polygon right angles Prop right-angled triangle Scholium segment side AC similar similar triangles solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 27 - If 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 two triangles will be equal.
Side 157 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 10 - CHG; and they are adjacent angles; but when a straight line standing on another straight line makes the adjacent angles equal to one another, each of them is a right angle; and the straight line which stands upon the other is called a perpendicular to it; therefore from the given point C a perpendicular CH has been drawn to the given straight line AB.
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 22 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
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 41 - It follows that either couplet of a proportion may be multiplied or divided by any quantity, and the resulting quantities will be in proportion. And since by...