Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult ClassesLongman, 1859 - 362 páginas |
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Página 116
... circular fish - pond or the mouth of a coal - pit , the radius may still be found by taking certain measurements , as will be shewn in Part III . on Mensuration . 132. PROP . XXXV . From a given arc of a circle to cut off a part equal ...
... circular fish - pond or the mouth of a coal - pit , the radius may still be found by taking certain measurements , as will be shewn in Part III . on Mensuration . 132. PROP . XXXV . From a given arc of a circle to cut off a part equal ...
Página 168
... circular arcs meet the horizontal lines neither as tangents nor at right angles , each arc being less than a quadrant ; but even in such cases Rule II . is always observed in good examples , that is , the arcs meet each other ...
... circular arcs meet the horizontal lines neither as tangents nor at right angles , each arc being less than a quadrant ; but even in such cases Rule II . is always observed in good examples , that is , the arcs meet each other ...
Página 169
... circular arch of given span . E d D Take the straight line AB to represent the given span . Bisect it in C ; and with centre C , and radius AC , describe a semi - circle ADB . Increase this radius by Aa , or Bb , the depth of the arch ...
... circular arch of given span . E d D Take the straight line AB to represent the given span . Bisect it in C ; and with centre C , and radius AC , describe a semi - circle ADB . Increase this radius by Aa , or Bb , the depth of the arch ...
Página 170
... circular . Provided Aa , AE , and Ee are constructed as above , the actual boundary beyond ae may be of any form we choose . If this arch be placed so that AB is horizontal , and the piers on which it rests are vertical , it obeys Rule ...
... circular . Provided Aa , AE , and Ee are constructed as above , the actual boundary beyond ae may be of any form we choose . If this arch be placed so that AB is horizontal , and the piers on which it rests are vertical , it obeys Rule ...
Página 177
... circular arcs , of which we present the following four examples : F D ( 1 ) Let AB be a given short straight line ; produce it indefinitely both ways . With centre A and radius AB , describe a semi - circle ; and let it meet BA produced ...
... circular arcs , of which we present the following four examples : F D ( 1 ) Let AB be a given short straight line ; produce it indefinitely both ways . With centre A and radius AB , describe a semi - circle ; and let it meet BA produced ...
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Términos y frases comunes
ABCDEF angular points base bisect centre chain chord circular circumference circumscribed circumscribing circle compasses cone construction cubic curved cylinder describe a circle diagonal diameter distance divided draw a straight drawn edge equal angles equal arcs equilateral triangle feet find the area foot frustum given angle given circle given line given point given ratio given straight line given triangle greater height Hence hexagon inches inscribed instrument intersecting length Let ABCD magnitude measure meet number of sides opposite angle parallelogram parallelopiped perimeter perpendicular plane surface points of division prism PROB produced PROP proportional Protractor radii radius rectangle rectangle contained regular polygon right angles ruler scale segment semi-circle shew shewn similar triangles square of AB square of AC subtends suppose tangent trapezium triangle ABC unit vernier vertex whole yards
Pasajes populares
Página 32 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Página 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 16 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other.
Página 43 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 17 - 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.
Página 22 - Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make...
Página 223 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 128 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Página 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.