Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult Classes |
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Page 2
... common use in Geometry is ' point ' , by which is meant generally no more than a place to start from , or to stop at , in drawing or mea- suring a line . A point hath position only , and is nothing for us to measure ; and hence the common ...
... common use in Geometry is ' point ' , by which is meant generally no more than a place to start from , or to stop at , in drawing or mea- suring a line . A point hath position only , and is nothing for us to measure ; and hence the common ...
Page 21
... common vertex C , the sum of all these angles is equal to two right angles ; and similarly on the other side of AB . So that all the angles in one plane exactly occupying the whole space round any given point are together equal to four ...
... common vertex C , the sum of all these angles is equal to two right angles ; and similarly on the other side of AB . So that all the angles in one plane exactly occupying the whole space round any given point are together equal to four ...
Page 24
... common and popular notion of parallel lines is based upon this property . 36. PROP . XIV . To draw a straight line parallel to a given straight line through any proposed point without it . Let AB be the given straight line , and C the ...
... common and popular notion of parallel lines is based upon this property . 36. PROP . XIV . To draw a straight line parallel to a given straight line through any proposed point without it . Let AB be the given straight line , and C the ...
Page 27
... common to those angles in the one equal to the side which is common to the two angles equal to them in the other , the triangles shall be equal in all respects . A L Let ABC , DEF , be two triangles , in which ABC = L DEF , LACB = DFE ...
... common to those angles in the one equal to the side which is common to the two angles equal to them in the other , the triangles shall be equal in all respects . A L Let ABC , DEF , be two triangles , in which ABC = L DEF , LACB = DFE ...
Page 28
... common and the sides opposite in one and the same straight line , are equal to one another * . Let ABCD , EBCF , be any two parallelograms , having the side BC common to both , and their opposite sides AD , EF in the same straight line ...
... common and the sides opposite in one and the same straight line , are equal to one another * . Let ABCD , EBCF , be any two parallelograms , having the side BC common to both , and their opposite sides AD , EF in the same straight line ...
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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 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.