Elements of Plane and Solid Geometry: And of Plane and Spherical Trigonometry ; to which is Added Mensuration, Surveying, and NavigationHarper, 1867 - 283 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 20
... given point to an indefinite line . And , of any other lines drawn from the same point , those that are nearest the perpen- dicular are less than those more remote . If AB , AC , AD , & c . , be lines drawn from the given point A to the ...
... given point to an indefinite line . And , of any other lines drawn from the same point , those that are nearest the perpen- dicular are less than those more remote . If AB , AC , AD , & c . , be lines drawn from the given point A to the ...
Σελίδα 69
... given line AB . Draw From the centres A and B , with the distance AB , describe arcs intersecting in C. AC , BC , and ABC will be the equilateral tri- angle . For the equal radii AC , BC are each of them equal to AB . PROBLEM II . To ...
... given line AB . Draw From the centres A and B , with the distance AB , describe arcs intersecting in C. AC , BC , and ABC will be the equilateral tri- angle . For the equal radii AC , BC are each of them equal to AB . PROBLEM II . To ...
Σελίδα 70
... given line AB in the point E. Draw the radii AC , BC , AD , BD . Then , because all these four radii are equal , and ... given point C , in a line AB , to erect a perpendicular . From the given point C , with any ra- dius , cut off any ...
... given line AB in the point E. Draw the radii AC , BC , AD , BD . Then , because all these four radii are equal , and ... given point C , in a line AB , to erect a perpendicular . From the given point C , with any ra- dius , cut off any ...
Σελίδα 71
... given point A , to let fall a perpendicular on a given line BC . From the given point A as a centre , with any convenient radius , describe an arc , cut- ting the given line at the two points D and E ; and from the two centres D , E ...
... given point A , to let fall a perpendicular on a given line BC . From the given point A as a centre , with any convenient radius , describe an arc , cut- ting the given line at the two points D and E ; and from the two centres D , E ...
Σελίδα 72
... given lines AC , BC , by construction . Note . If any two of the lines are not together greater than the third , the construction is impossible . PROBLEM VII . At a given point A , in a line AB , to make an angle equal to a given angle ...
... given lines AC , BC , by construction . Note . If any two of the lines are not together greater than the third , the construction is impossible . PROBLEM VII . At a given point A , in a line AB , to make an angle equal to a given angle ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane and Solid Geometry, and of Plane and Spherical Trigonometry Gerardus Beekman Docharty Περιορισμένη προεπισκόπηση - 2022 |
Elements of Plane and Solid Geometry, and of Plane and Spherical Trigonometry Gerardus Beekman Docharty Περιορισμένη προεπισκόπηση - 2022 |
Elements of Plane and Solid Geometry, and of Plane and Spherical ... Gerardus Beekman Docharty Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent allel altitude angles equal bisect centre chord circle circumference cone consequently convex surface cosec cosine cylinder departure diameter diff difference of latitude divided draw drawn equal angles equal th equation equiangular equilateral exterior angle feet figure find the area following RULE formula frustum Geom given angle given line Hence included angle inscribed intersection join latitude Let ABC logarithms longitude measured by half Multiply opposite angles parallel parallelogram perpen perpendicular plane XZ polygon prism Prob PROBLEM produced Prop proportional PROPOSITION pyramid Q. E. D. Corol Q. E. D. THEOREM quadrant quantities radii radius ratio rectangle regular polygon right angles right-angled triangle segment semicircle side BC sine slant height solid angle sphere spherical angle spherical triangle SPHERICAL TRIGONOMETRY square straight line tangent trian triangle ABC versin
Δημοφιλή αποσπάσματα
Σελίδα 15 - THE Angle formed by a Tangent to a Circle, and a Chord drawn from the Point of Contact, is Equal to the Angle in the Alternate Segment.
Σελίδα 2 - If a straight line be divided into any two parts, the square on the whole line is...
Σελίδα 40 - The areas or spaces of circles are to each other as the squares of their diameters or of their radii.
Σελίδα 83 - A cone is a solid figure described by the revolution of a rightangled triangle about one of the sides containing the right angle, which side remains fixed.
Σελίδα 67 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Σελίδα 1 - When a line is mentioned simply, it means a Right Line. 7. A Curve continually changes its direction between its extreme points. 8. Lines are either Parallel, Oblique, Perpendicular, or Tangential. 9. Parallel Lines are always at the same perpendicular distance; and they never meet though ever so far produced. 10. Oblique lines change their distance, and would meet, if produced on the side of the Jeast distance.
Σελίδα 24 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Σελίδα 25 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.