Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 108
... quadrant of a circle , we obtain the inscribed polygon of 32 sides , which differs from the cor- responding circumscribed polygon , only in the second decimal place . After five bisections , we obtain polygons of 128 sides , which ...
... quadrant of a circle , we obtain the inscribed polygon of 32 sides , which differs from the cor- responding circumscribed polygon , only in the second decimal place . After five bisections , we obtain polygons of 128 sides , which ...
Σελίδα 155
... quadrant , the lines CB , CD will be perpendicular to AC , and the angle BCD will be equal to the angle of the ... quadrant . Also , because the E Doint C is the pole of the arc DE , the B / D تا distance from C to E is a quadrant ...
... quadrant , the lines CB , CD will be perpendicular to AC , and the angle BCD will be equal to the angle of the ... quadrant . Also , because the E Doint C is the pole of the arc DE , the B / D تا distance from C to E is a quadrant ...
Σελίδα 156
... quadrant ; and , because F is the pole of AG , the arc FG is a quadrant . Hence EH and GF , or EF and GH , are together equal to a semicircumference . Therefore EF is the supple- ment of GH , which measures the angle A. So , also , DF ...
... quadrant ; and , because F is the pole of AG , the arc FG is a quadrant . Hence EH and GF , or EF and GH , are together equal to a semicircumference . Therefore EF is the supple- ment of GH , which measures the angle A. So , also , DF ...
Σελίδα 234
... quadrant . Prop . 7. Inscribe a circle in a given quadrant . Prop . 8. Describe a circle touching three given straight lines . Prop . 9. Within a given circle describe six equal circles , touching each other and also the given circle ...
... quadrant . Prop . 7. Inscribe a circle in a given quadrant . Prop . 8. Describe a circle touching three given straight lines . Prop . 9. Within a given circle describe six equal circles , touching each other and also the given circle ...
Σελίδα 24
... quadrant to six places of figures . ( 30. ) To find from the table the natural sine , cosine , & c . , of an arc or angle . If a sine is required , look for the degrees at the top of the page , and for the minutes on the left ; then ...
... quadrant to six places of figures . ( 30. ) To find from the table the natural sine , cosine , & c . , of an arc or angle . If a sine is required , look for the degrees at the top of the page , and for the minutes on the left ; then ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD allel altitude angle ABC angle ACB angle BAC base bisected chord circle circumference cone convex surface cosine curve described diagonals diameter dicular divided draw ellipse equal angles equal to AC equiangular equilateral equivalent exterior angle figure foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect Join latus rectum less Let ABC logarithm major axis mean proportional meet multiplied number of sides opposite ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical triangle square subtangent tang tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 20 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
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 34 - ... therefore the angle ACB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel to BD.
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 159 - 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.
Σελίδα 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.
Σελίδα 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Σελίδα 151 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.