Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
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Page 91
... inch , the rectangle contains 18 square inches ; if the side of the square is a foot , the rectan- gle contains 18 square feet . PROPOSITION VII . THEOREM . The area of any rhomboid is equal to the product of its base by its altitude ...
... inch , the rectangle contains 18 square inches ; if the side of the square is a foot , the rectan- gle contains 18 square feet . PROPOSITION VII . THEOREM . The area of any rhomboid is equal to the product of its base by its altitude ...
Page 198
... , which equals of an inch ; the Palm = 3 inches ; the Hand - 4 inches ; the Span 9 inches : the Cubit = 1 foot ; the League 3 miles ; and 60 Geographical , or 69.114 English Miles , = 1 Degree . Sq . Inches . Sq . Links . 62 144.
... , which equals of an inch ; the Palm = 3 inches ; the Hand - 4 inches ; the Span 9 inches : the Cubit = 1 foot ; the League 3 miles ; and 60 Geographical , or 69.114 English Miles , = 1 Degree . Sq . Inches . Sq . Links . 62 144.
Page 199
Nathan Scholfield. Sq . Inches . Sq . Links . 62 144 1 1 21089 322 II . SQUARE MEASURE . Sq . Poles Sq . Feet . Sq . Yards . Perches , Sq . Sq Sq . Sq . or Rods Chains . Rood : Acres Mile . 1296 20,2 9 = 1 121 39204 625 2721 301 1 627264 ...
Nathan Scholfield. Sq . Inches . Sq . Links . 62 144 1 1 21089 322 II . SQUARE MEASURE . Sq . Poles Sq . Feet . Sq . Yards . Perches , Sq . Sq Sq . Sq . or Rods Chains . Rood : Acres Mile . 1296 20,2 9 = 1 121 39204 625 2721 301 1 627264 ...
Page 200
... inches . Ans . 93 ft . Ex . 6. What is the area of the rhombus , the length 12.5 feet , and the perpendicular height = 6.25 feet . Ans . 78.125 square feet . Ex . 7. To find the square yards of painting in the rhom- boid , whose length ...
... inches . Ans . 93 ft . Ex . 6. What is the area of the rhombus , the length 12.5 feet , and the perpendicular height = 6.25 feet . Ans . 78.125 square feet . Ex . 7. To find the square yards of painting in the rhom- boid , whose length ...
Page 207
... inches . To find the area of an irregular polygon . RULE . - Draw diagonals dividing the figure into quadrilat- erals and triangles . Then find the areas of these separately , and add them together for the area of the polygon . Ex . To ...
... inches . To find the area of an irregular polygon . RULE . - Draw diagonals dividing the figure into quadrilat- erals and triangles . Then find the areas of these separately , and add them together for the area of the polygon . Ex . To ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield No preview available - 2015 |
Common terms and phrases
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Popular passages
Page 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 35 - The sum of any two sides of a triangle, is greater than the third side.
Page 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Page 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Page 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Page 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Page 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.