Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 sider |
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Side 12
... be drawn ; and that is the shortest line be- tween them . 11. Two magnitudes are equal if , when one is ap- plied to the other , they will exactly coincide . PLANE GEOMETRY . BOOK I. RATIOS OF MAGNITUDES LYING IN 12 GEOMETRY .
... be drawn ; and that is the shortest line be- tween them . 11. Two magnitudes are equal if , when one is ap- plied to the other , they will exactly coincide . PLANE GEOMETRY . BOOK I. RATIOS OF MAGNITUDES LYING IN 12 GEOMETRY .
Side 21
... coincide with the side FE ( Ax . 10 ) , and the angle C with the angle F , and the angle B with the angle E , and the triangle ABC as a whole with the triangle DEF as a whole ; and since they coincide , each with each , they are also ...
... coincide with the side FE ( Ax . 10 ) , and the angle C with the angle F , and the angle B with the angle E , and the triangle ABC as a whole with the triangle DEF as a whole ; and since they coincide , each with each , they are also ...
Side 24
... coincide with its equal DE , then because the angle A is equal to the angle D , the side AC will fall on the side DF , and the point C will be found somewhere in the line DF ; also , because the angle B is equal to the angle E , the 24 ...
... coincide with its equal DE , then because the angle A is equal to the angle D , the side AC will fall on the side DF , and the point C will be found somewhere in the line DF ; also , because the angle B is equal to the angle E , the 24 ...
Side 25
... coincide , and are equal throughout ( Ax . 11 ) ; that is , the side AC is equal to the side DF , the side BC to the side EF , the angle C to the angle F , and the tri- angle ABC as a whole to the triangle DEF as a whole . Therefore ...
... coincide , and are equal throughout ( Ax . 11 ) ; that is , the side AC is equal to the side DF , the side BC to the side EF , the angle C to the angle F , and the tri- angle ABC as a whole to the triangle DEF as a whole . Therefore ...
Side 40
... coincide with the arc ADC : for if not , suppose some point in ABC to fall within or without ADC ; then we shall have points in the circumference unequally distant from the center , which is contrary to the definition of a circle ...
... coincide with the arc ADC : for if not , suppose some point in ABC to fall within or without ADC ; then we shall have points in the circumference unequally distant from the center , which is contrary to the definition of a circle ...
Andre utgaver - Vis alle
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...