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, Volume 6 |
From inside the book
Results 1-5 of 83
Page vii
... Figure to a Triangle equal to it To determine the Height of a Statue GEOMETRICAL THEOREMS The Explanation of fuch Characters as are generally used in the Solution of the following Geometrical Problems PLANOMETRY ; OR THE MEASURING OF ...
... Figure to a Triangle equal to it To determine the Height of a Statue GEOMETRICAL THEOREMS The Explanation of fuch Characters as are generally used in the Solution of the following Geometrical Problems PLANOMETRY ; OR THE MEASURING OF ...
Page viii
... Figure Application of the foregoing Problems STEREOMETY ; OR THE MEASURING OF SOLIDS To measure , or find the Solid Content of a Cube To measure a Parallelopipedon , or oblong Cube To measure a Prifi To measure a Pyramid To measure a ...
... Figure Application of the foregoing Problems STEREOMETY ; OR THE MEASURING OF SOLIDS To measure , or find the Solid Content of a Cube To measure a Parallelopipedon , or oblong Cube To measure a Prifi To measure a Pyramid To measure a ...
Page xi
... Figures 227 To find the Side of a Cubic Block of Gold , which being coined into Guineas , would pay off the National Debt To find what Annuity would pay off the National Debt of 250 Millions in 30 Years , at 4 per Cent . Compound ...
... Figures 227 To find the Side of a Cubic Block of Gold , which being coined into Guineas , would pay off the National Debt To find what Annuity would pay off the National Debt of 250 Millions in 30 Years , at 4 per Cent . Compound ...
Page 2
... Figures in the Numerator . So the Denominator of .5 is 10 ; the Deno- minator of .47 is 100 ; and of .358 is 1000 , & c ... Figure continually circulates , make a Dafh across the first , thus .866 ; but where every two or three Figures ...
... Figures in the Numerator . So the Denominator of .5 is 10 ; the Deno- minator of .47 is 100 ; and of .358 is 1000 , & c ... Figure continually circulates , make a Dafh across the first , thus .866 ; but where every two or three Figures ...
Page 3
... Figure in the Decimals is fo many tenth Parts of the Unit or whole Number , as the Figure itself denotes : The Second is fo many hundredth Parts : The third so many thousandth Parts . Thus .2 is , or two tenth Parts ; 23 is 23 , or ...
... Figure in the Decimals is fo many tenth Parts of the Unit or whole Number , as the Figure itself denotes : The Second is fo many hundredth Parts : The third so many thousandth Parts . Thus .2 is , or two tenth Parts ; 23 is 23 , or ...
Common terms and phrases
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
Popular passages
Page 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.
Page 181 - Rule: To twice the square of the middle diameter, add the square of the diameter of...
Page 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?
Page 149 - For the surface of a segment or frustum, multiply the whole circumference of the sphere by the height of the part required.
Page 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".
Page 138 - This error, though it. is b«! small, when the depth and breadth are pretty near equal, yet if the difference...
Page 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.
Page 213 - DF'E. Hence the entire area of the (!i GP cycloid is equal to three times the area of the generating circle.
Page 133 - To find the side of a square equal in area to any given superfices.
Page 28 - Divifion, write the anfwer in the Quotient, and alfo on the right hand of the Divifor...