First Stage Practical Plane and Solid GeometryW.B. Clive, University Tutorial Press, 1903 - 255 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 30
... remaining ( antecedent ) line . Ans . 1 ' . Hint . This may be solved by two different methods , viz . , as in figs . 33 and 34 . In fig . 34 , if points 1 and 4 be joined , then bisected with a perpendicular , the centre of the circle ...
... remaining ( antecedent ) line . Ans . 1 ' . Hint . This may be solved by two different methods , viz . , as in figs . 33 and 34 . In fig . 34 , if points 1 and 4 be joined , then bisected with a perpendicular , the centre of the circle ...
Σελίδα 42
... remaining circle , as it is the locus of it on the hypothesis that it may roll on the large circle . Similarly mark off EG = g " , and draw the locus circle of all circles of g " radius that roll on B. The intersections of the locus ...
... remaining circle , as it is the locus of it on the hypothesis that it may roll on the large circle . Similarly mark off EG = g " , and draw the locus circle of all circles of g " radius that roll on B. The intersections of the locus ...
Σελίδα 59
... remaining side of the rectangle is a third proportional to AB , BF , its length can likewise be determined by Problem 26 . PROBLEM 58 . To construct a triangle with sides 2.625 " , 2′2 ′′ , and 1′7 ′′ respectively , and a square equal ...
... remaining side of the rectangle is a third proportional to AB , BF , its length can likewise be determined by Problem 26 . PROBLEM 58 . To construct a triangle with sides 2.625 " , 2′2 ′′ , and 1′7 ′′ respectively , and a square equal ...
Σελίδα 60
... remaining side is then , area ÷ unit . Similarly for centimetres . 2nd Method . - Form an isos- celes right - angled triangle ABC ( fig . 78 ) , making AB = AC = 1 ′′ . By Rule 6 , BC = √2 " . At B erect BD Then = 1 ′′ , perpendicular ...
... remaining side is then , area ÷ unit . Similarly for centimetres . 2nd Method . - Form an isos- celes right - angled triangle ABC ( fig . 78 ) , making AB = AC = 1 ′′ . By Rule 6 , BC = √2 " . At B erect BD Then = 1 ′′ , perpendicular ...
Σελίδα 61
... remaining the same . Polygons are reduced to equivalent triangles on the same principle . To reduce any number of given separate figures to a triangle or square equal to the sum of their areas , it is only necessary to form a single ...
... remaining the same . Polygons are reduced to equivalent triangles on the same principle . To reduce any number of given separate figures to a triangle or square equal to the sum of their areas , it is only necessary to form a single ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude axis base angle bisect centre chord co-ordinate planes cone construction corners cube cut cut cylinder diagonal diagram diameter dihedral angle distance draw a line Draw the plan Draw the projections drawn edge ellipse end view equal equilateral triangle figure given angle given circle given plane given point ground line height hexagon hinge-line Hint.-See Prob horizontal plane horizontal trace hypotenuse inch inclined at 30 inclined plane intersection isometric projection line parallel locus measure meet millimetres oblique plane octahedron parallel to xy parallelogram pentagon perpendicular to xy plan and elevation plane containing plane of reference plane v'o'h planes of projection polygon position preceding problem prism projector pyramid rabatted radians radius real angle rectangle represent respectively right angles right-angled triangle scale shown side solid Solid Geometry solution square square pyramid tangent triangle ABC true length true shape vectors vertex vertical plane vertical trace
Δημοφιλή αποσπάσματα
Σελίδα 5 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 23 - IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle...
Σελίδα 4 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 55 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram shall be double of the triangle.
Σελίδα 74 - If two forces, acting at a point, be represented in magnitude and direction by the two sides of a parallelogram drawn from...
Σελίδα 22 - Likewise, if the first has the same ratio to the second, which the third has to the fourth, then also any equimultiples whatever of the first and third shall have the*same ratio to the second and fourth...
Σελίδα 6 - When two radii connect together any two points in the circumference of a circle which are on exactly the opposite sides of the centre, they make a chord, which is called the diameter of the circle, and such diameter divides the circle into two equal segments, 1 which take the name of semicircles.
Σελίδα 195 - Represent by their traces : — a. Two planes at right angles to each other and to the vertical plane of projection, and one of them inclined at 40° to the horizontal plane.