First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and MechanicsA.S. Barnes, 1840 - 252 σελίδες |
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Σελίδα vi
... figures may be learned in a few weeks ; and after these properties are carried out in their practical applications , the mind receives a conviction of their truth little short of what is afforded by rigorous demonstration . The work is ...
... figures may be learned in a few weeks ; and after these properties are carried out in their practical applications , the mind receives a conviction of their truth little short of what is afforded by rigorous demonstration . The work is ...
Σελίδα ix
... Figures . Different kinds of Polygons Different kinds of Quadrilaterals . 25 26--28 29 SECTION V. The unit of length , or linear unit 30 Superficial unit 31 Area of figures Area of the Triangle 32 • Area of the Trapezoid . 33 34 SECTION ...
... Figures . Different kinds of Polygons Different kinds of Quadrilaterals . 25 26--28 29 SECTION V. The unit of length , or linear unit 30 Superficial unit 31 Area of figures Area of the Triangle 32 • Area of the Trapezoid . 33 34 SECTION ...
Σελίδα xi
... figures . Of the circle Area of circular rings Area of an Ellipse SECTION II . 117 • 117-120 • • 121-123 • 124-127 127-130 130 132-133 • 134-137 137-139 139-153 153-155 155 • • 156 156-157 158 160 162 • · • 163 164 166 • Mensuration of ...
... figures . Of the circle Area of circular rings Area of an Ellipse SECTION II . 117 • 117-120 • • 121-123 • 124-127 127-130 130 132-133 • 134-137 137-139 139-153 153-155 155 • • 156 156-157 158 160 162 • · • 163 164 166 • Mensuration of ...
Σελίδα xiv
... Figure - Defined . Divisibility - Defined Inertia - Defined 222 222 223 224 224 225 Attraction of cohesion 225 Attraction of gravitation 226 Weight - Defined 227 SECTION II . Motion - Defined . Velocity -- Defined Momentum - Defined ...
... Figure - Defined . Divisibility - Defined Inertia - Defined 222 222 223 224 224 225 Attraction of cohesion 225 Attraction of gravitation 226 Weight - Defined 227 SECTION II . Motion - Defined . Velocity -- Defined Momentum - Defined ...
Σελίδα 24
... be drawn perpendicular to one of them , will it be perpendicular to all the others ? Of Plane Figures . 8. From the same point D 24 PLANE GEOMETRY . Parallel lines-Oblique lines Parallel cut by a third line Perpendicular and oblique lines.
... be drawn perpendicular to one of them , will it be perpendicular to all the others ? Of Plane Figures . 8. From the same point D 24 PLANE GEOMETRY . Parallel lines-Oblique lines Parallel cut by a third line Perpendicular and oblique lines.
Άλλες εκδόσεις - Προβολή όλων
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.