Geometry: Applied to the Mensuration of Lines, Surfaces, Solids, Heights and Distances |
From inside the book
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Page 8
... Angle , Converging Lines , Diverging Lines , An Angle , Vertex , Acute Angle , Obtuse Angle , Angles on same side of a right line , Angles about a right line , Spherical Angle , Triangles , 55 52 Semicircle , 52 Quadrant , 53 Sector ...
... Angle , Converging Lines , Diverging Lines , An Angle , Vertex , Acute Angle , Obtuse Angle , Angles on same side of a right line , Angles about a right line , Spherical Angle , Triangles , 55 52 Semicircle , 52 Quadrant , 53 Sector ...
Page 9
... angle , 78 Area of a Rhomboid , 101 To make an angle equal to To form a Parallelogram 79 a given angle . Three sides of a Triangle 80 given , to construct it , 81 of given area , whose length shall bear a given proportion to its wid h ...
... angle , 78 Area of a Rhomboid , 101 To make an angle equal to To form a Parallelogram 79 a given angle . Three sides of a Triangle 80 given , to construct it , 81 of given area , whose length shall bear a given proportion to its wid h ...
Page 11
... Angle of Elevation , Angle of Depression , Miscellaneous Examples , 190 - PART FIFTH . CHAPTER I. object on a Horizontal Plane , CHAPTER II . Heights and Distances , To find the distance of an Mensuration of Angles and Tri- To find the ...
... Angle of Elevation , Angle of Depression , Miscellaneous Examples , 190 - PART FIFTH . CHAPTER I. object on a Horizontal Plane , CHAPTER II . Heights and Distances , To find the distance of an Mensuration of Angles and Tri- To find the ...
Page 50
... Angles . The science of Geometry demonstrates the principles of extension and magnitude ; and is applied to the meas- uring of lines , surfaces , and solids . The simplest idea in Geometry is a point ; which is defined to be , position ...
... Angles . The science of Geometry demonstrates the principles of extension and magnitude ; and is applied to the meas- uring of lines , surfaces , and solids . The simplest idea in Geometry is a point ; which is defined to be , position ...
Page 51
... in the same direc- tion , can never meet , are parallel lines . A Horizontal Line . A Line drawn parallel to the horizon is a called a hor- izontal line . A Vertical Line . A Line drawn perpendicular to the LINES AND ANGLES . 51.
... in the same direc- tion , can never meet , are parallel lines . A Horizontal Line . A Line drawn parallel to the horizon is a called a hor- izontal line . A Vertical Line . A Line drawn perpendicular to the LINES AND ANGLES . 51.
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Geometry - Applied to the Mensuration of Lines, Surfaces, Solids, Heights ... Benjamin Franklin Callender No preview available - 2011 |
Common terms and phrases
12 inches 15 feet 9 inches acres altitude called centre Change the fractions chord circle circular circumference common denominator cone contained cube root cubic feet cubic inches decimals degrees distance dividend divisor dollars Duodecimals Ellipsis equal equilateral triangle feet 6 inches feet 9 feet high feet long feet of wood feet wide figures find the area find the solidity five tenths foot gives the solidity greater base height highest denominator hundred hundredths hypothenuse improper fraction inches in length inches wide line A B line drawn mean area mean proportional measure merator Middle Frustum miles mixed number Multiply the square oblate spheroid Parabolic Conoid Parabolic Spindle parallel parallelogram parallelopiped perpendicular piece of land plane Polygons prolate spheroid pyramid quotient radius regular polygon rhombus right angle right triangle sphere square feet square inches square root straight line Subtract surface trapezium twelfths versed sine whole number
Popular passages
Page 15 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 191 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 21 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 14 - To reduce an improper fraction to a whole or mixed number, Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Page 164 - From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and the product by the decimal .5236...
Page 22 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 104 - To find the area of a trapezoid, multiply half the sum of the parallel sides by the shortest distance between them. NOTE 3. — A trapezoid is a figure, like the one in the annexed diagram, bounded by four straight lines, only two of which are parallel.
Page 22 - At | of a dollar a yard, how many yards of cloth can be bought for f of a dollar ? 30.
Page 112 - Divide the square of half the chord by the versed sine, and to the quotient add the versed sine ; the sum will be the diameter of the circle.