Geometry: Applied to the Mensuration of Lines, Surfaces, Solids, Heights and Distances |
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Page 8
... Irregular Figures , 55 Compound Figures , LEIC888393888 66 67 67 67 68 68 69 69 70 71 71 Geometrical Problems . 56 56 To draw Parallel Lines , 72 57 To draw a perpendicular line , 72 To bisect a line , To divide a line into viii CONTENTS .
... Irregular Figures , 55 Compound Figures , LEIC888393888 66 67 67 67 68 68 69 69 70 71 71 Geometrical Problems . 56 56 To draw Parallel Lines , 72 57 To draw a perpendicular line , 72 To bisect a line , To divide a line into viii CONTENTS .
Page 71
... a Semicircle - a Quad- a Sector and Segment bounded ? Draw Concen- tric Circles ; an Ellipsis ; an Irregular Figure ; a Com- pound Figure . rant - GEOMETRICAL PROBLEMS . SECTION V. PROBLEM I. To draw a COMPOUND FIGURES . 71.
... a Semicircle - a Quad- a Sector and Segment bounded ? Draw Concen- tric Circles ; an Ellipsis ; an Irregular Figure ; a Com- pound Figure . rant - GEOMETRICAL PROBLEMS . SECTION V. PROBLEM I. To draw a COMPOUND FIGURES . 71.
Page 72
B[enjamin] Franklin Callender. GEOMETRICAL PROBLEMS . SECTION V. PROBLEM I. To draw a line parallel to agiven straight line , at a given distance . A- CD B At the given distance C D from the line A B describe an arc of a circle ; at the ...
B[enjamin] Franklin Callender. GEOMETRICAL PROBLEMS . SECTION V. PROBLEM I. To draw a line parallel to agiven straight line , at a given distance . A- CD B At the given distance C D from the line A B describe an arc of a circle ; at the ...
Page 73
... intersecting arcs above and below the given line ; draw a straigh line between the intersecting arcs , and it will divide the line A B into two equal parts . 7 PROBLEM IV . To divide a given straight line into PROBLEMS . 73.
... intersecting arcs above and below the given line ; draw a straigh line between the intersecting arcs , and it will divide the line A B into two equal parts . 7 PROBLEM IV . To divide a given straight line into PROBLEMS . 73.
Page 74
... PROBLEM V. To divide a line in any given proportion . Divide A B in the proportion of 3 to 5 . 2 A في 6 7 D 4 5 B From the point A , draw A D of indefinite length . On it , set off eight equal divisions of indefinite length : join B ...
... PROBLEM V. To divide a line in any given proportion . Divide A B in the proportion of 3 to 5 . 2 A في 6 7 D 4 5 B From the point A , draw A D of indefinite length . On it , set off eight equal divisions of indefinite length : join B ...
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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.