Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 2
... measurements of various kinds ; and 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 ...
... measurements of various kinds ; and 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 ...
Σελίδα 4
... measure of the inclination of the one line to the other ; but how that measure is taken does not concern us at present to know . All that is here required is to know how to compare one angle with another , viz .: ( 1 ) That the angle ...
... measure of the inclination of the one line to the other ; but how that measure is taken does not concern us at present to know . All that is here required is to know how to compare one angle with another , viz .: ( 1 ) That the angle ...
Σελίδα 53
... measure of the ratio between any two magnitudes is , ( not their difference , but ) the number of times the one contains , or is contained in , the other . Thus , if the line AB , upon being multiplied three times ( 22 ) , becomes equal ...
... measure of the ratio between any two magnitudes is , ( not their difference , but ) the number of times the one contains , or is contained in , the other . Thus , if the line AB , upon being multiplied three times ( 22 ) , becomes equal ...
Σελίδα 71
... measure ' , or common unit of measurement . Now two or more magnitudes are said to have a ' common measure ' , when each of them contains the unit of measurement a certain number of times ex- actly without remainder . Thus two lines ...
... measure ' , or common unit of measurement . Now two or more magnitudes are said to have a ' common measure ' , when each of them contains the unit of measurement a certain number of times ex- actly without remainder . Thus two lines ...
Σελίδα 97
... measure of the smaller line to the greater , a part may be readily cut off from the latter equal to that measure , that is , equal to the smaller line . 101. PROP . IV . To bisect a given straight line , that is , to divide it into two ...
... measure of the smaller line to the greater , a part may be readily cut off from the latter equal to that measure , that is , equal to the smaller line . 101. PROP . IV . To bisect a given straight line , that is , to divide it into two ...
Άλλες εκδόσεις - Προβολή όλων
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.