Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 sider |
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Side 43
... measured by half the arc on which it stands . Let ACB be an angle in- scribed in a circle . It is meas- ured by half the arc AEB . First , suppose the center D to be within the angle . Draw the diameter CE ; also , join DA and DB . Now ...
... measured by half the arc on which it stands . Let ACB be an angle in- scribed in a circle . It is meas- ured by half the arc AEB . First , suppose the center D to be within the angle . Draw the diameter CE ; also , join DA and DB . Now ...
Side 44
... measured by half of AE . In the same manner it may be shown that DCB is measured by half of BE . Therefore , the whole angle ACB is measured by half of the whole arc AEB . Next , let the center D be without the angle ACB . By the above ...
... measured by half of AE . In the same manner it may be shown that DCB is measured by half of BE . Therefore , the whole angle ACB is measured by half of the whole arc AEB . Next , let the center D be without the angle ACB . By the above ...
Side 45
... measured by half the arc BF , and the angle CBF by half the arc BDF . Draw BE perpendicular to A E D AC , and it will be a diameter of the circle ( Cor . , Theo . XXIII ) . Now , since ABE is a right angle , it is measured by half the ...
... measured by half the arc BF , and the angle CBF by half the arc BDF . Draw BE perpendicular to A E D AC , and it will be a diameter of the circle ( Cor . , Theo . XXIII ) . Now , since ABE is a right angle , it is measured by half the ...
Side 69
... measured by half the arc DB ( Theo . XXVII , B. I ) ; and the angle C , being an B 2.11 inscribed angle , is measured by half the same arc ( Theo . XXVI , B. I ) ; therefore , these two angles are equal . But the angle A is common to ...
... measured by half the arc DB ( Theo . XXVII , B. I ) ; and the angle C , being an B 2.11 inscribed angle , is measured by half the same arc ( Theo . XXVI , B. I ) ; therefore , these two angles are equal . But the angle A is common to ...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies Evan Wilhelm Evans Uten tilgangsbegrensning - 1862 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E W (Evan Wilhelm) 1827-1874 Evans Ingen forhåndsvisning tilgjengelig - 2021 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E. W. 1827-1874 Evans Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
AB² ABCDEF allel alternate angles altitude angle BAC angles ABC apothegm base multiplied bisect called chord circle circumference cone consequently convex surface diagonals diameter divided draw Eclectic Reader equal Theo equal to half equivalent frustum Geometry given point half the arc half the product Hence hypotenuse included angle inscribed angle intersect isosceles triangle Let ABCD let fall McGuffey's measured by half mutually equiangular mutually equilateral number of equal number of sides opposite parallelogram perimeter perpendicular perpendicular distance prism proportion proved Published by W. B. quadrilateral radii radius Ray's rectangle regular inscribed regular polygon regular pyramid right angles right parallelopiped right-angled triangle Schol semicircle side BC slant hight solidity square straight line SUPT tangent THEOREM trapezoid triangles ABC triangles are equal triangular vertex W. B. SMITH
Populære avsnitt
Side 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Side 42 - 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.
Side 21 - 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 are equal in all respects.
Side 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Side 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Side 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Side 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Side 30 - The area of a rectangle is equal to the product of its base and altitude.
Side 69 - 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. either the sides adjacent to the equal...