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 x
... PAGE To gauge , or find the Contents of Houfhold Uten- fils , fuch as Tuns , Tubs , Coppers ... Superficial Contents of the Five Regular Bodies To find the Length of the ... PAGE To find the Area of any Space of Archimedes To X CONTENT S.
... PAGE To gauge , or find the Contents of Houfhold Uten- fils , fuch as Tuns , Tubs , Coppers ... Superficial Contents of the Five Regular Bodies To find the Length of the ... PAGE To find the Area of any Space of Archimedes To X CONTENT S.
Σελίδα 111
... Superficial Content or Area of a Square . Definition . A Square hath four equal Sides and four Right Angles ; as ABCD , in the Figure below . Rule . * Multiply the given Side by itself , and the Product is the Area required . Example ...
... Superficial Content or Area of a Square . Definition . A Square hath four equal Sides and four Right Angles ; as ABCD , in the Figure below . Rule . * Multiply the given Side by itself , and the Product is the Area required . Example ...
Σελίδα 134
... Superficial Content of any of the foregoing Fi gures in Inches , if you divide that Content by 282 , it will give the Gallons of Ale or Beer . 231 , it will give the Gallons of Wine or Cyder . 2150.42 , it will give the Bushels of Malt ...
... Superficial Content of any of the foregoing Fi gures in Inches , if you divide that Content by 282 , it will give the Gallons of Ale or Beer . 231 , it will give the Gallons of Wine or Cyder . 2150.42 , it will give the Bushels of Malt ...
Σελίδα 136
... Content ? E C F D G H B Operation . 17.5x17.5 306.25 X 17.5 = 5359-375 In- ches , the Content required . The Superficial Content is found by finding the Area of one Side , and multiply that by ( 6 ) , the Number of Sides . * The Reason ...
... Content ? E C F D G H B Operation . 17.5x17.5 306.25 X 17.5 = 5359-375 In- ches , the Content required . The Superficial Content is found by finding the Area of one Side , and multiply that by ( 6 ) , the Number of Sides . * The Reason ...
Σελίδα 137
... Superficial Content is the Area of the four Sides and the two Ends added together . * Every Parallelopipedon is compofed of a Number of equal Square Surfaces laid upon each other . The Sum of the whole Number of Squares is therefore the ...
... Superficial Content is the Area of the four Sides and the two Ends added together . * Every Parallelopipedon is compofed of a Number of equal Square Surfaces laid upon each other . The Sum of the whole Number of Squares is therefore 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...