Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult Classes |
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Page 10
... line may be drawn on a given plane surface from any one point to any other point . II . A terminated straight line may be ' produced ' , that is , extended , to any length in a straight line . III . A circle may be described ' with any ...
... line may be drawn on a given plane surface from any one point to any other point . II . A terminated straight line may be ' produced ' , that is , extended , to any length in a straight line . III . A circle may be described ' with any ...
Page 14
... given ' line means a line ' given ' sometimes in position , sometimes in magnitude , sometimes in both , ac- cording to circumstances ; and the word ' given ' means fixed or known . ( 3 ) A ' proposition ' is something proposed to be ...
... given ' line means a line ' given ' sometimes in position , sometimes in magnitude , sometimes in both , ac- cording to circumstances ; and the word ' given ' means fixed or known . ( 3 ) A ' proposition ' is something proposed to be ...
Page 15
... given straight line is to continue or extend it , so that the part added may be in one and the same straight line with the given line . Thus a radius of a circle , continued through the centre to meet the circumference again , until it ...
... given straight line is to continue or extend it , so that the part added may be in one and the same straight line with the given line . Thus a radius of a circle , continued through the centre to meet the circumference again , until it ...
Page 16
With Easy Exercises, Designed for Schools and Adult Classes Thomas Lund. STRAIGHT LINES AND RECTILINEAL PLANE FIGURES . * 23. PROPOSITION I. To describe an equilateral tri- angle upon a given straight linet . Let AB be the given straight ...
With Easy Exercises, Designed for Schools and Adult Classes Thomas Lund. STRAIGHT LINES AND RECTILINEAL PLANE FIGURES . * 23. PROPOSITION I. To describe an equilateral tri- angle upon a given straight linet . Let AB be the given straight ...
Page 17
... line AB upon DE ; then the point B will fall B upon E , because AB = DE._ Again , since AB falls upon DE , AC will ... given angle , that is , to divide it into two equal angles . Let BAC be the given angle ; it is required to bisect it ...
... line AB upon DE ; then the point B will fall B upon E , because AB = DE._ Again , since AB falls upon DE , AC will ... given angle , that is , to divide it into two equal angles . Let BAC be the given angle ; it is required to bisect it ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 128 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.