Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 páginas |
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Página 4
... Observe , it is not necessary to a curved surface that all lines drawn on it should be curved lines ; there may be straight lines in particular cases . For example , the surface of a round pillar is curved , but yet the lines drawn on ...
... Observe , it is not necessary to a curved surface that all lines drawn on it should be curved lines ; there may be straight lines in particular cases . For example , the surface of a round pillar is curved , but yet the lines drawn on ...
Página 5
... Observe , the magnitude of an angle does not at all de- pend upon the length of the lines by which it is formed , but only upon their position . Yet the lines must be some length to be lines at all . 10. If one of the lines which form ...
... Observe , the magnitude of an angle does not at all de- pend upon the length of the lines by which it is formed , but only upon their position . Yet the lines must be some length to be lines at all . 10. If one of the lines which form ...
Página 9
... observed here , that although two letters are sufficient to express a straight line , three or more are generally required for a curved line ; and for an obvious reason , because between any two points there is only one straight line ...
... observed here , that although two letters are sufficient to express a straight line , three or more are generally required for a curved line ; and for an obvious reason , because between any two points there is only one straight line ...
Página 29
... [ Observe , when D falls between A and E , DE must be added , instead of subtracted . ] COR . 1. Hence , also , all parallelograms upon equal bases and between the same two parallels ' are equal to one another . A D I E KH For , if ABCD ...
... [ Observe , when D falls between A and E , DE must be added , instead of subtracted . ] COR . 1. Hence , also , all parallelograms upon equal bases and between the same two parallels ' are equal to one another . A D I E KH For , if ABCD ...
Página 39
... Observe , that an arc is a line ; but a segment , and a sector , are both areas . Observe also that , according to the Definition , the straight line AB is the chord of the arc ADB as well as of the arc AB ; but the smaller arc of the ...
... Observe , that an arc is a line ; but a segment , and a sector , are both areas . Observe also that , according to the Definition , the straight line AB is the chord of the arc ADB as well as of the arc AB ; but the smaller arc of the ...
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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.