Elements of geometry and mensurationLongman, Brown, Green, and Longmans, 1854 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 57.
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acres base bisect called centre chord circle circular circumference circumscribed compasses construction contained convenient curved describe diagonal diagram diameter difference distance divided division draw drawn edge equal exactly example expressed feet figure find the area fixed foot former four fraction given given circle given point given straight line greater ground half height Hence inches inscribed intersecting join length less magnitude marked means measure meet method nearly observed obtained opposite parallel parallelogram pass perimeter perpendicular placed plane plot portion PROB produced PROP proportional proposed radius ratio rectangle regular polygon remaining represent respectively result right angles scale shew shewn sides similar smaller square straight line subtends suppose surface taken taking triangle unit 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.