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 xi
... Conjugate Axis of an Hyperbola To delineate an Hyperbola , the Tranfverfe and Con- jugate Diameters being given To find the Solidity of a Circular , Elliptical , Parabo-- lical , or Hyperbolical Spindle To find the Solidity of a Fruftum ...
... Conjugate Axis of an Hyperbola To delineate an Hyperbola , the Tranfverfe and Con- jugate Diameters being given To find the Solidity of a Circular , Elliptical , Parabo-- lical , or Hyperbolical Spindle To find the Solidity of a Fruftum ...
Σελίδα 130
... Conjugate . Rule . Multiply the Length by the Breadth , and that Product by .7854 ; this laft Product will be the Content . Example . Suppofe the longer Diameter A B of the following Oval be 61.6 Inches , and the fhorter Diameter CD be ...
... Conjugate . Rule . Multiply the Length by the Breadth , and that Product by .7854 ; this laft Product will be the Content . Example . Suppofe the longer Diameter A B of the following Oval be 61.6 Inches , and the fhorter Diameter CD be ...
Σελίδα 155
... Conjugate Diameter . C B As every Circle hath one Center , called its Focus , or Burning Point ; fo every Ellipfis hath two Centers , called the Foci , or Burning Points of that Ellipfis , as ff . All Lines drawn across the Tranfverfe ...
... Conjugate Diameter . C B As every Circle hath one Center , called its Focus , or Burning Point ; fo every Ellipfis hath two Centers , called the Foci , or Burning Points of that Ellipfis , as ff . All Lines drawn across the Tranfverfe ...
Σελίδα 157
... conjugate Diameter of the Hyperbola . All Lines drawn at Right Angles across the Axis are called Ordinates ; and that which paffes through its Focus ( for every Hyperbola , as well as Parabola , hath one Focus or Burning Point near the ...
... conjugate Diameter of the Hyperbola . All Lines drawn at Right Angles across the Axis are called Ordinates ; and that which paffes through its Focus ( for every Hyperbola , as well as Parabola , hath one Focus or Burning Point near the ...
Σελίδα 159
... Conjugate CD be 18 Inches , what is the Distance of each Focus F from the Center at S ? C b F A S F D Operation ... Conjugate is called the Latus Rectum ; and the Length may be found by this Proportion : -As the Tranfverfe Diameter A B ...
... Conjugate CD be 18 Inches , what is the Distance of each Focus F from the Center at S ? C b F A S F D Operation ... Conjugate is called the Latus Rectum ; and the Length may be found by this Proportion : -As the Tranfverfe Diameter A B ...
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...