Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 15
... rhombus , or lozenge , which is an equilateral rhomboid . 3. The rectangle , which is an equian- gular parallelogram . which is both equilat- 4. The square , eral and equiangular . Of Axioms . 50. A DIAGONAL of a figure is BOOK I. 15.
... rhombus , or lozenge , which is an equilateral rhomboid . 3. The rectangle , which is an equian- gular parallelogram . which is both equilat- 4. The square , eral and equiangular . Of Axioms . 50. A DIAGONAL of a figure is BOOK I. 15.
Page 37
... rhombus ( Def . 48 ) , the sides AB , BC being equal , the trian- gles AEB and BEC have all the sides of the one equal to the corresponding sides of the other , and are therefore equal.A Whence it follows that the angles AEB and BEC are ...
... rhombus ( Def . 48 ) , the sides AB , BC being equal , the trian- gles AEB and BEC have all the sides of the one equal to the corresponding sides of the other , and are therefore equal.A Whence it follows that the angles AEB and BEC are ...
Page 62
... rhombus , having given the length of one of the equal sides , and one of the angles . Let AB be equal to the given side , and E the given angle.` A D At B lay off an angle , ABC , equal to E , by Prob . VIII . and make BC equal to AB ...
... rhombus , having given the length of one of the equal sides , and one of the angles . Let AB be equal to the given side , and E the given angle.` A D At B lay off an angle , ABC , equal to E , by Prob . VIII . and make BC equal to AB ...
Page 63
... rhombus . PROBLEM XV . To find the centre of a circle Draw any chord , as AB , and bisect it by Problem IV . Then , through F , the middle point , draw DCE , perpendicular to AB , by Problem VI . Then DCE will be a diameter of the ...
... rhombus . PROBLEM XV . To find the centre of a circle Draw any chord , as AB , and bisect it by Problem IV . Then , through F , the middle point , draw DCE , perpendicular to AB , by Problem VI . Then DCE will be a diameter of the ...
Page 213
... rhombus , or a parallelogram . RULE . Multiply the base by the perpendicular height and the produc will be the area ( Bk . IV . Th . viii ) . EXAMPLES . 1. Required the area of the square ABCD , each of whose sides is 36 feet D ...
... rhombus , or a parallelogram . RULE . Multiply the base by the perpendicular height and the produc will be the area ( Bk . IV . Th . viii ) . EXAMPLES . 1. Required the area of the square ABCD , each of whose sides is 36 feet D ...
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Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards