First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and MechanicsA.S. Barnes, 1840 - 252 σελίδες |
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Σελίδα 31
... feet , and altitude 3 feet , it is evident that it will contain 12 square feet . These 12 square feet are the measure of the surface of the rectangle . QUEST . - 3 . If the unit of length be one yard , what is the unit of sur- face ? 4 ...
... feet , and altitude 3 feet , it is evident that it will contain 12 square feet . These 12 square feet are the measure of the surface of the rectangle . QUEST . - 3 . If the unit of length be one yard , what is the unit of sur- face ? 4 ...
Σελίδα 32
... feet , what is its area ? If the base be 12 yards , and altitude 5 yards , what is its area ? If the base be 9 rods , and altitude 8 rods , what is its area ? 9. What is the area of a square equal to ? If the side of a square is 3 feet ...
... feet , what is its area ? If the base be 12 yards , and altitude 5 yards , what is its area ? If the base be 9 rods , and altitude 8 rods , what is its area ? 9. What is the area of a square equal to ? If the side of a square is 3 feet ...
Σελίδα 33
... feet , the area will be 300 square feet . 12. The area of a trapezoid is equal to half the sum of its parallel sides multiplied by the perpendicular dis- tance between them . Thus , A area ABCD = ( AB + CD ) × CF. 13. The diagonal DB ...
... feet , the area will be 300 square feet . 12. The area of a trapezoid is equal to half the sum of its parallel sides multiplied by the perpendicular dis- tance between them . Thus , A area ABCD = ( AB + CD ) × CF. 13. The diagonal DB ...
Σελίδα 34
... 12 , and the altitude 8 yards , the area will be 48 square yards . QUEST . - 14 . If a triangle and a parallelogram ... feet , and its altitude 5 feet , what is its area ? If the base is 40 yards , and the altitude 6 yards , what is the ...
... 12 , and the altitude 8 yards , the area will be 48 square yards . QUEST . - 14 . If a triangle and a parallelogram ... feet , and its altitude 5 feet , what is its area ? If the base is 40 yards , and the altitude 6 yards , what is the ...
Σελίδα 71
... feet , and BC = 3 feet . Then the num- ber of square feet in the base will be equal to 3 × 4 = 12 square feet . Therefore , 12 equal cubes of one foot each , may be placed by the side of each other on the base . If the parallelopipedon be 1 ...
... feet , and BC = 3 feet . Then the num- ber of square feet in the base will be equal to 3 × 4 = 12 square feet . Therefore , 12 equal cubes of one foot each , may be placed by the side of each other on the base . If the parallelopipedon be 1 ...
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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.