Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 82
... feet , one foot is the unit of the line , and is called the linear unit . It the length of a line be computed in yards , one yard is the linear unit 5. If we describe a square on the unit of length , such square is called the unit of ...
... feet , one foot is the unit of the line , and is called the linear unit . It the length of a line be computed in yards , one yard is the linear unit 5. If we describe a square on the unit of length , such square is called the unit of ...
Page 83
... feet . 1 yd . - 3 feet . 7. The area of a figure is the measure of its surface . The unit of the number which expresses the area , is a square , the side of which is the unit of length . 8. Figures have equal areas , when they contain ...
... feet . 1 yd . - 3 feet . 7. The area of a figure is the measure of its surface . The unit of the number which expresses the area , is a square , the side of which is the unit of length . 8. Figures have equal areas , when they contain ...
Page 146
... feet , and BC - 3 feet . Then the number of square feet in the base ABCD will be equal to 3 × 4 = 12 square feet Therefore , 12 equal cubes of 1 foot each , may be placed by the De A side of each other on the base . If the ...
... feet , and BC - 3 feet . Then the number of square feet in the base ABCD will be equal to 3 × 4 = 12 square feet Therefore , 12 equal cubes of 1 foot each , may be placed by the De A side of each other on the base . If the ...
Page 180
... - tractor . GUNTERS ' SCALE . 18. This is a scale of two feet in length , on the faces of which a variety of scales is marked . The face on which the Definitions . divisions of inches are made , contains , 180 TRIGONOMETRY.
... - tractor . GUNTERS ' SCALE . 18. This is a scale of two feet in length , on the faces of which a variety of scales is marked . The face on which the Definitions . divisions of inches are made , contains , 180 TRIGONOMETRY.
Page 211
... feet in length , and is divided into 100 links . 4. An acre is a surface equal in extent to 10 square chains ; that is , equal to a rectangle of which one side is ten chains and the other side one chain . One quarter of an acre , is ...
... feet in length , and is divided into 100 links . 4. An acre is a surface equal in extent to 10 square chains ; that is , equal to a rectangle of which one side is ten chains and the other side one chain . One quarter of an acre , is ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 159 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 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.
Page 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.