The Young Geometrician's Companion: Being A New and Comprehensive Course of Practical Geometry ... Containing. An easy introduction to decimal arithmetic .... Such definitions, axioms, problems, theorems, and characters, as necessarily lead to the knowledge of this science. Planometry, or the mensuration of superficies. Stereometry, ot he mensuration of solids. The sections of a cone .... The Platonic bodies ... To which is added a collection of problems shewing that lines and angles may be divided in infinitum; that superficies and solids may be so cut as to appear considerably augmented; and, that the famous problem of Archimedes, of moving the earth, is capable of an easy and accurate demonstration, Τόμος 6S. Crowder, 1787 - 240 σελίδες |
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Σελίδα viii
... Diameter of the Circle 127 To find the Area of a circular Ring 128 To find the Area of a Crescent or Lune 129 To find the Area of an Oval 130 To find the Length of the Circumference of an Oval 131 To find the Area of any irregular ...
... Diameter of the Circle 127 To find the Area of a circular Ring 128 To find the Area of a Crescent or Lune 129 To find the Area of an Oval 130 To find the Length of the Circumference of an Oval 131 To find the Area of any irregular ...
Σελίδα xi
... Diameters being given To find the Solidity of a Circular , Elliptical , Parabo-- lical , or Hyperbolical Spindle To find the Solidity of a Fruftum , or Segment of an Elliptical , Parabolical , or Hyperbolical Spindle To find the ...
... Diameters being given To find the Solidity of a Circular , Elliptical , Parabo-- lical , or Hyperbolical Spindle To find the Solidity of a Fruftum , or Segment of an Elliptical , Parabolical , or Hyperbolical Spindle To find the ...
Σελίδα 25
... Diameter . It has been long difcovered , that if the Diameter of a Circle be 7 , its Circumference will be 22 of the fame Mea- fure ; and alfo that the Diameters and Circumferences of all Circles are in a direct Proportion to each other ...
... Diameter . It has been long difcovered , that if the Diameter of a Circle be 7 , its Circumference will be 22 of the fame Mea- fure ; and alfo that the Diameters and Circumferences of all Circles are in a direct Proportion to each other ...
Σελίδα 39
... Diameter therefore must be about 7964 ; and its Semi - diameter 3982 Miles . Then in the Triangle AB C , right angled at B , there is given the Side C B = 3982 ; and also the Side A C = 3986 , to find A B. Operation . From the Square of ...
... Diameter therefore must be about 7964 ; and its Semi - diameter 3982 Miles . Then in the Triangle AB C , right angled at B , there is given the Side C B = 3982 ; and also the Side A C = 3986 , to find A B. Operation . From the Square of ...
Σελίδα 45
... Diameter of the Bafe ; to find the rpendicular Height ? Example . Suppose the Slant Side AC of the Cone A B C D , be o Inches , and the Diameter of the Bafe A B 120 Inches ; hat is its perpendicular Height ? C A B D Operation . From the ...
... Diameter of the Bafe ; to find the rpendicular Height ? Example . Suppose the Slant Side AC of the Cone A B C D , be o Inches , and the Diameter of the Bafe A B 120 Inches ; hat is its perpendicular Height ? C A B D Operation . From the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
12 Inches alfo Anſwer Archimedes Axis Bafe Baſe becauſe Breadth called Center Chord Circle Circum Circumference Compaffes Cone confequently confifts Conftruction Conic Sections Conoid Crample Cube Root Cyphers defcribe the Arch Diameter A B Dimenfions Diſtance divide Dividend Divifor draw the Line Ellipfis Example faid fame Feet fet one Foot Figure find the Area find the Length find the Solidity Firft firſt fome fought Fruftum fubtract fuch Geometrical give the Solidity given Line given Number half Hexaëdron Hyperbola Icofaëdron Inches interfecting itſelf laft Product Laftly laſt Latus Rectum lefs Let ABCD Line A B Line given Magic Squares Mean Proportional meaſure multiplied muſt Operation Parabola Parallelogram Platonic Solids Point Problem Pyramid Quotient Refolvend Rhombus Right Angle Rule Segment Solid Content Solidity required Sphere Spheroid Square Root Stereometry Superficial Content Suppofe Theorem theſe thofe thoſe Tranfverfe Diameter Trapezium Triangle uſeful Vertex Vulgar Fraction whole Number whoſe
Δημοφιλή αποσπάσματα
Σελίδα 95 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to thcsquare of the other part.
Σελίδα 181 - Rule: To twice the square of the middle diameter, add the square of the diameter of...
Σελίδα 33 - Multiply the two given numbers together, and extract the square root of the product, which root will be the mean proportional sought. EXAMPLES. (1) What is the mean proportional between 4 and 9 ? (2) What is the mean proportional between 16 and 36?
Σελίδα 149 - For the surface of a segment or frustum, multiply the whole circumference of the sphere by the height of the part required.
Σελίδα 120 - As 7 is to 22, so is the diameter to the circumference. Or as 113 is to 355, so is the diameter to the circumference. • Or as 1 is to 3.1416, so is the diameter to the circumferenc".
Σελίδα 138 - This error, though it. is b«! small, when the depth and breadth are pretty near equal, yet if the difference...
Σελίδα 175 - To find the solidity of a spheroid. — Multiply the square of the revolving axe by the fixed axe, and this product again by -5236, and it will give the solidity required.
Σελίδα 213 - DF'E. Hence the entire area of the (!i GP cycloid is equal to three times the area of the generating circle.
Σελίδα 133 - To find the side of a square equal in area to any given superfices.
Σελίδα 28 - Divifion, write the anfwer in the Quotient, and alfo on the right hand of the Divifor...