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
... Chord and Verfed Sine of a Segment of a Circle being given , to find the 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 ...
... Chord and Verfed Sine of a Segment of a Circle being given , to find the 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 ...
Σελίδα 68
... Chord , as C D , and the Part of the Circum- ference lying between is called an Arch , as CRD . C R D Arch Chord A Right Line being drawn from the Middle or Center of a Circle to any Part of the Circumference , is called a Radius or ...
... Chord , as C D , and the Part of the Circum- ference lying between is called an Arch , as CRD . C R D Arch Chord A Right Line being drawn from the Middle or Center of a Circle to any Part of the Circumference , is called a Radius or ...
Σελίδα 125
... Chord add of the Square of the Depth ; the Square Root of this Sum multiplied by of the Depth will give the Area of the Segment . Example . Suppofe the Chord ED of the Segment EDB be 40 Inches , and the Depth FB 10 Inches , what is its ...
... Chord add of the Square of the Depth ; the Square Root of this Sum multiplied by of the Depth will give the Area of the Segment . Example . Suppofe the Chord ED of the Segment EDB be 40 Inches , and the Depth FB 10 Inches , what is its ...
Σελίδα 126
... Chord of the Arch by 8 ; from the Pro- duct fubtract the whole Chord ; divide the Remainder by 3 ; and the Quotient will be equal to the Length of the Arch required . Example . Suppose the Chord A C of the Arch ABC be 50.8 Inches , and ...
... Chord of the Arch by 8 ; from the Pro- duct fubtract the whole Chord ; divide the Remainder by 3 ; and the Quotient will be equal to the Length of the Arch required . Example . Suppose the Chord A C of the Arch ABC be 50.8 Inches , and ...
Σελίδα 127
... Chord and verfed Sine ( or Depth ) of a Segment of a Circle being given , to find the ( whole ) Diameter of the Circle . Rule . Divide the Square of half the Chord by the verfed Sine ( or Depth ) , and the Quotient will be the other ...
... Chord and verfed Sine ( or Depth ) of a Segment of a Circle being given , to find the ( whole ) Diameter of the Circle . Rule . Divide the Square of half the Chord by the verfed Sine ( or Depth ) , and the Quotient will be the other ...
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...