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 187
... plane and SOLID . By the former , we investigate the relations and properties of lines , an gles and figures , which lie in the same plane ; by the latter , those of solids , lines and surfaces , which lie in different planes . The ...
... plane and SOLID . By the former , we investigate the relations and properties of lines , an gles and figures , which lie in the same plane ; by the latter , those of solids , lines and surfaces , which lie in different planes . The ...
Page 3
... plane surfaces , may be conceived to be formed from these as their elements . In the third book , the reasoning in relation to ele- mentary pyramidals is extended to solids of revolution , show- ing that the cylender , cone , and sphere ...
... plane surfaces , may be conceived to be formed from these as their elements . In the third book , the reasoning in relation to ele- mentary pyramidals is extended to solids of revolution , show- ing that the cylender , cone , and sphere ...
Page 5
... SOLIDS . AN APPLICATION OF THE ELEMENTARY PRINCIPLES OF GEOMETRY TO THE MENSURATION OF SOLIDS - TABLE OF SQUARES AND CUBES , SQUARE ROOTS AND CUBE ROOTS OF NUMBERS , FROM 1 TO 1000 . ! ELEMENTS OF SOLID GEOMETRY . BOOK I. PLANES AND.
... SOLIDS . AN APPLICATION OF THE ELEMENTARY PRINCIPLES OF GEOMETRY TO THE MENSURATION OF SOLIDS - TABLE OF SQUARES AND CUBES , SQUARE ROOTS AND CUBE ROOTS OF NUMBERS , FROM 1 TO 1000 . ! ELEMENTS OF SOLID GEOMETRY . BOOK I. PLANES AND.
Page 7
... planes , is the line in which they meet to cut each other . 2. A line is perpendicular to a plane when it is perpendicu- lar to every line in that plane which meets it . 3. One plane is perpendicular to another , when every line of the ...
... planes , is the line in which they meet to cut each other . 2. A line is perpendicular to a plane when it is perpendicu- lar to every line in that plane which meets it . 3. One plane is perpendicular to another , when every line of the ...
Page 9
... plane , and determine its position . Let AB , AC be two straight lines which intersect each other in A ; a plane may be conceived in which the straight line AB is found ; if this plane be turned round AB , B until it pass through the ...
... plane , and determine its position . Let AB , AC be two straight lines which intersect each other in A ; a plane may be conceived in which the straight line AB is found ; if this plane be turned round AB , B until it pass through the ...
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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.