Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 85.
Σελίδα 5
... case , it is meant that the reader look back to the paragraph numbered 8 , and see that a method has been there explained of comparing one angle with another . B a right angle . Thus , if CA , DEFINITIONS AND FIRST PRINCIPLES . 5.
... case , it is meant that the reader look back to the paragraph numbered 8 , and see that a method has been there explained of comparing one angle with another . B a right angle . Thus , if CA , DEFINITIONS AND FIRST PRINCIPLES . 5.
Σελίδα 25
... Method . The same thing may be done as follows : From C draw CD perpendicular to AB ( 29 ) , and again from C draw CE at right E angles to CD ( 28 ) ; produce EC to any point F ; then EF is parallel to AB and is drawn through C ( 34 ...
... Method . The same thing may be done as follows : From C draw CD perpendicular to AB ( 29 ) , and again from C draw CE at right E angles to CD ( 28 ) ; produce EC to any point F ; then EF is parallel to AB and is drawn through C ( 34 ...
Σελίδα 26
... Method . That the three angles of a triangle are equal to two right angles may be shewn in another very simple way thus : E Let ABC be the triangle , and through C draw DCE parallel to AB ( 36 ) , then the D angles ACB , ACD , BCE are ...
... Method . That the three angles of a triangle are equal to two right angles may be shewn in another very simple way thus : E Let ABC be the triangle , and through C draw DCE parallel to AB ( 36 ) , then the D angles ACB , ACD , BCE are ...
Σελίδα 40
... method evidently applies to the case of a given segment , or arc , when the centre of the circle to which it belongs is required , or when it is re- quired to complete the circle . Another Method . Draw the chord AB ; bisect it in By a ...
... method evidently applies to the case of a given segment , or arc , when the centre of the circle to which it belongs is required , or when it is re- quired to complete the circle . Another Method . Draw the chord AB ; bisect it in By a ...
Σελίδα 65
... method a third proportional may be found to two given straight lines , that is , a third line C such , that A : B :: B : C. The only dif- ference is , that DG is taken equal to EF and equal to B. Then DE : EF :: DG : GH , that is , A ...
... method a third proportional may be found to two given straight lines , that is , a third line C such , that A : B :: B : C. The only dif- ference is , that DG is taken equal to EF and equal to B. Then DE : EF :: DG : GH , that is , A ...
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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.