Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Σελίδα 2
... hence is required a sort of geometrical language in the first onset , which must be learnt from the following Definitions : - 3. We measure a distance by a ' line ' ; so that a line will represent any one of the dimensions length ...
... hence is required a sort of geometrical language in the first onset , which must be learnt from the following Definitions : - 3. We measure a distance by a ' line ' ; so that a line will represent any one of the dimensions length ...
Σελίδα 3
... the carpet never enters into our consideration , but only the length and breadth . Hence the expression superficial measure ' is always understood to exclude thickness . Thus , for instance , 1-2 DEFINITIONS AND FIRST PRINCIPLES . 3.
... the carpet never enters into our consideration , but only the length and breadth . Hence the expression superficial measure ' is always understood to exclude thickness . Thus , for instance , 1-2 DEFINITIONS AND FIRST PRINCIPLES . 3.
Σελίδα 9
... Hence it is plain , that a circle may be traced by means of a string , one end of which is kept fixed in a certain point as the centre , while the other is made to revolve and trace out the circumference , the string being kept ...
... Hence it is plain , that a circle may be traced by means of a string , one end of which is kept fixed in a certain point as the centre , while the other is made to revolve and trace out the circumference , the string being kept ...
Σελίδα 10
... Hence the two straight lines AB , and CD , are equal to one another , if , when CD is placed upon AB , so that the point C is upon A and CD upon AB , the point Dis found to coincide with the point B. C In like manner two areas are equal ...
... Hence the two straight lines AB , and CD , are equal to one another , if , when CD is placed upon AB , so that the point C is upon A and CD upon AB , the point Dis found to coincide with the point B. C In like manner two areas are equal ...
Σελίδα 17
... Hence , since B is upon E , and C upon F , the line BC must coincide with EF , because BC and EF are straight lines between the same , or coin- cident , points . Therefore the triangles coincide , and are equal , in all respects , as ...
... Hence , since B is upon E , and C upon F , the line BC must coincide with EF , because BC and EF are straight lines between the same , or coin- cident , points . Therefore the triangles coincide , and are equal , in all respects , as ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.