First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and MechanicsA.S. Barnes, 1840 - 252 σελίδες |
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Σελίδα xi
... problems 101-116 PART III . SECTION I. Mensuration of Surfaces General principles Area of a rectangle - Square or parallelogram Area of a Triangle Properties of right - angled triangles Area of the Trapezoid Area of the Quadrilateral ...
... problems 101-116 PART III . SECTION I. Mensuration of Surfaces General principles Area of a rectangle - Square or parallelogram Area of a Triangle Properties of right - angled triangles Area of the Trapezoid Area of the Quadrilateral ...
Σελίδα 17
... problem or a theorem . 14. A Corollary is an obvious consequence , deduced from something that has gone before . 15 ... problem ? 13. What is a proposition ? May it be a problem ? May it be a theorem ? 14. What is a corollary ? 15. What ...
... problem or a theorem . 14. A Corollary is an obvious consequence , deduced from something that has gone before . 15 ... problem ? 13. What is a proposition ? May it be a problem ? May it be a theorem ? 14. What is a corollary ? 15. What ...
Σελίδα 87
... QUEST . - 1 . What is Practical Geometry ? 2. What are the dividers used for ? Of how many parts are they composed ? How are these parts moved ? Practical Geometry . - Instruments . PROBLEM I. On any PART II SECTION I.
... QUEST . - 1 . What is Practical Geometry ? 2. What are the dividers used for ? Of how many parts are they composed ? How are these parts moved ? Practical Geometry . - Instruments . PROBLEM I. On any PART II SECTION I.
Σελίδα 88
... PROBLEM I. On any line as CD , to lay off a distance equal to AB . 3. Take up the dividers with the thumb and second finger , and place the fore finger on the joint at b . Then , set 4 B one foot of the dividers at A , ED and extend the ...
... PROBLEM I. On any line as CD , to lay off a distance equal to AB . 3. Take up the dividers with the thumb and second finger , and place the fore finger on the joint at b . Then , set 4 B one foot of the dividers at A , ED and extend the ...
Σελίδα 89
... PROBLEM III . To draw through a given point a line which shall be parallel to a given line . 6. Let C be the given ... Problems . Place the hypothenuse of 8 * PART II . - SECTION I. 89.
... PROBLEM III . To draw through a given point a line which shall be parallel to a given line . 6. Let C be the given ... Problems . Place the hypothenuse of 8 * PART II . - SECTION I. 89.
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Συχνά εμφανιζόμενοι όροι και φράσεις
12 feet 20 feet acres altitude bisect bounded by Planes breadth called centre of gravity chord circular sector circumfer circumference cone convex surface cubic feet cubic foot cubic inches cylinder decimal diagonals diameter distance divide draw equilateral triangle EXAMPLES Explain the manner feet 6 inches figure find the area find the solidity frustum given angle given line given point gles half hypothenuse intersect line be drawn linear unit lower base manner of inscribing Mensuration of Surfaces multiplied number of square parallel planes parallelogram parallelopipedon pentagon pentagonal pyramid perpendicular Practical Geometry.-Problems PROBLEM pulley pyramid radius rectangle regular polygon regular solids Required the area rhombus right angled triangle Round Bodies RULE scale of equal secant line segment similar polygons similar triangles slant height solid content solid feet Solids bounded specific gravity sphere square feet square yards straight line tangent thickness upper base weight
Δημοφιλή αποσπάσματα
Σελίδα 20 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Σελίδα 32 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Σελίδα 40 - Similar triangles are to each other as the squares described on their homologous sides. Let ABC, DEF be two similar triangles...
Σελίδα 82 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 235 - An equilibrium is produced in all the levers, when the weight multiplied by its distance from the fulcrum is equal to the product of the power multiplied by its distance from the fulcrum. That...
Σελίδα 84 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude.
Σελίδα 34 - The area of a triangle is equal to half the product of the base and height.
Σελίδα 35 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 20 - For this purpose it is divided into 360 equal parts, called degrees, each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds. The degrees, minutes, and seconds, are marked thus, °, ', " ; and 9° 18' 10", are read, 9 degrees, 18 minutes, and 10 seconds.
Σελίδα 83 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.