Elements of geometry and mensuration |
From inside the book
Results 1-5 of 60
Page 2
... nearly the points we use in practice approach the strictness of this Definition , the more accu- rate , it is obvious , will be the measurements which begin or end at those points . It follows , that each extremity of a line is 2 ...
... nearly the points we use in practice approach the strictness of this Definition , the more accu- rate , it is obvious , will be the measurements which begin or end at those points . It follows , that each extremity of a line is 2 ...
Page 71
... nearly as we please to a common measure , and thus render the preceding Theory applicable by approximation , and to all practical purposes sufficiently true . Euclid's method of treating ratios and proportion , which applies strictly ...
... nearly as we please to a common measure , and thus render the preceding Theory applicable by approximation , and to all practical purposes sufficiently true . Euclid's method of treating ratios and proportion , which applies strictly ...
Page 88
... nearly attained where the precision of the Geometrical Definitions is most closely regarded . 96. But before Geometry can be put in practice , certain Tools or INSTRUMENTS are required , of which we will here give a short description ...
... nearly attained where the precision of the Geometrical Definitions is most closely regarded . 96. But before Geometry can be put in practice , certain Tools or INSTRUMENTS are required , of which we will here give a short description ...
Page 88
... nearly attained where the precision of the Geometrical Definitions is most closely regarded . 96. But before Geometry can be put in practice , certain Tools or INSTRUMENTS are required , of which we will here give a short description ...
... nearly attained where the precision of the Geometrical Definitions is most closely regarded . 96. But before Geometry can be put in practice , certain Tools or INSTRUMENTS are required , of which we will here give a short description ...
Page 98
... nearly half - way between A and B as you can guess ; turn the compasses round C , and if the foot which was at A is found to fall exactly on B , the thing is done , because in this case AC = CB . But if not , mark the point D in AB or ...
... nearly half - way between A and B as you can guess ; turn the compasses round C , and if the foot which was at A is found to fall exactly on B , the thing is done , because in this case AC = CB . But if not , mark the point D in AB or ...
Other editions - View all
Common terms and phrases
ABCDEF acres base bisect breadth centre chain chord circular circum circumference circumscribing circle compasses construction contained continued fraction curved decimal Diagonal Scale diagram diameter distance divided draw drawn edge equilateral triangle find the area find the length fraction frustum given angle given circle given line given point given straight line given triangle half height Hence hexagon inscribed instrument intersecting join Let ABCD lineal unit magnitude meet multiplied number of equal number of sides number of units opposite angle parallelogram perimeter perpendicular plane surface plot points of division PROB produced PROP proportional Protractor radii radius ratio rectangle rectangular regular polygon represent right angles shew shewn similar similar triangles square feet square foot square inches straight edge subtends suppose trapezium triangle ABC 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 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 32 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.
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 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 192 - 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 126 - 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.