Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes, 1886 - 324 σελίδες |
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Σελίδα 146
... cubic feet : were it 3 feet in height , it would contain three tiers of cubes , or 36 cubic feet . The magnitude of a solid , its volume or extent , forms what is called its solidity ; and this word is exclusively employed to designate ...
... cubic feet : were it 3 feet in height , it would contain three tiers of cubes , or 36 cubic feet . The magnitude of a solid , its volume or extent , forms what is called its solidity ; and this word is exclusively employed to designate ...
Σελίδα 242
... cubic feet in a block of marble , of which the length is 3 feet 2 inches , breadth 2 feet 8 inches , and height or thickness 2 feet 6 inches ? Ans . 21 solid ft . 4. How many gallons of water , ale measure , will a cistern contain whose ...
... cubic feet in a block of marble , of which the length is 3 feet 2 inches , breadth 2 feet 8 inches , and height or thickness 2 feet 6 inches ? Ans . 21 solid ft . 4. How many gallons of water , ale measure , will a cistern contain whose ...
Σελίδα 243
... cubic or solid feet in a regular pentagonal prism of which the altitude is 15 feet and cach sile of the base 3.75 feet ? Ans . 362.913 PROBLEM III . To find the surface of a regular pyramid . RULE . Multiply the perimeter of the base by ...
... cubic or solid feet in a regular pentagonal prism of which the altitude is 15 feet and cach sile of the base 3.75 feet ? Ans . 362.913 PROBLEM III . To find the surface of a regular pyramid . RULE . Multiply the perimeter of the base by ...
Σελίδα 247
... cubic ft . 5. How many cubic feet in a square piece of timber , the areas of the two ends being 504 and 372 inches , and its length 31 feet ? Ans . 95.447 . 6. What is the solidity of a squared piece of timber , its length being 18 feet ...
... cubic ft . 5. How many cubic feet in a square piece of timber , the areas of the two ends being 504 and 372 inches , and its length 31 feet ? Ans . 95.447 . 6. What is the solidity of a squared piece of timber , its length being 18 feet ...
Σελίδα 252
... cubic ft . 3. Required the solidity of a cone whose altitude is 10 feet , and the circumference of its base 9 feet ? Ans . 22.5609 cubic ft . 4. What is the solidity of a cone , the diameter of whose base is 18 inches , and altitude 15 ...
... cubic ft . 3. Required the solidity of a cone whose altitude is 10 feet , and the circumference of its base 9 feet ? Ans . 22.5609 cubic ft . 4. What is the solidity of a cone , the diameter of whose base is 18 inches , and altitude 15 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angles equal base multiplied bisect called centre chains chord circle whose diameter circular sector circumference column comp cone consequently convex surface Cosine Cosine D Cotang cubic cylinder decimal diagonal dicular distance divided draw drawn equal Bk equal to half equivalent EXAMPLES feet figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment side AC similar similar triangles slant height sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Let ABC be a triangle, of which the side AC is greater than the side AB; the angle ABC shall be greater than the angle BCA.
Σελίδα 11 - A circle (Fig. 38) is a figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within, called the center.
Σελίδα 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 130 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Σελίδα 209 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower Cway 33° 45' ; required the height of the tower.
Σελίδα 58 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Σελίδα 159 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Σελίδα 70 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.