Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 páginas |
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Página 11
... exactly equal to one another . But areas may be equal also , when they are not exactly alike , ( as the pages of the same book are , ) but can be made so by a different arrange- ment of the parts of one or both . For it is evident ...
... exactly equal to one another . But areas may be equal also , when they are not exactly alike , ( as the pages of the same book are , ) but can be made so by a different arrange- ment of the parts of one or both . For it is evident ...
Página 21
... exactly occupying the whole space round any given point are together equal to four right angles . 31. PROP . IX . If one straight line intersects * an- other straight line , the vertical , or opposite , angles shall be equal to one ...
... exactly occupying the whole space round any given point are together equal to four right angles . 31. PROP . IX . If one straight line intersects * an- other straight line , the vertical , or opposite , angles shall be equal to one ...
Página 53
... exactly three times , then the measure of the ratio of CD to AB is 3 , that is , CD bears the same rela- tion to AB in magnitude which 3 does to 1 . But in order that two magnitudes of the same kind may have a ratio to each other , it ...
... exactly three times , then the measure of the ratio of CD to AB is 3 , that is , CD bears the same rela- tion to AB in magnitude which 3 does to 1 . But in order that two magnitudes of the same kind may have a ratio to each other , it ...
Página 56
... exactly divide AB , and BC , in which case the unit must be reduced , until this can take place . For example , if there be not an exact number of feet in AB , and BC , there may be an exact number of inches ; or , if not inches , there ...
... exactly divide AB , and BC , in which case the unit must be reduced , until this can take place . For example , if there be not an exact number of feet in AB , and BC , there may be an exact number of inches ; or , if not inches , there ...
Página 57
... exactly once more . Also whatever be the number of times Ab contains , or is contained in , bc , it is contained in , 4b + bc , or Ac , exactly once more . But , if each of two equal numbers be increased by 1 , they will remain equal ...
... exactly once more . Also whatever be the number of times Ab contains , or is contained in , bc , it is contained in , 4b + bc , or Ac , exactly once more . But , if each of two equal numbers be increased by 1 , they will remain equal ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.
Página 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Página 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.