An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 49
... chord ; as the space included by the arc AFB and the chord A B. 8. A Sector is the part of a circle included by two radii and the intercepted arc ; as the space B CD . 9. A Tangent ( in geometry ) is a line which touches , but does not ...
... chord ; as the space included by the arc AFB and the chord A B. 8. A Sector is the part of a circle included by two radii and the intercepted arc ; as the space B CD . 9. A Tangent ( in geometry ) is a line which touches , but does not ...
Σελίδα 51
... chords subtend equal arcs ; and , conversely , equal arcs are subtended by equal chords . Let A B C and DEF be two equal circles ; if the arcs AB and DE are equal , the chords AB and DE are A B D F E equal ; and conversely , if the ...
... chords subtend equal arcs ; and , conversely , equal arcs are subtended by equal chords . Let A B C and DEF be two equal circles ; if the arcs AB and DE are equal , the chords AB and DE are A B D F E equal ; and conversely , if the ...
Σελίδα 52
... chord bisects the chord and the arc subtended by the chord . Let CE be a radius perpendicular to the chord AB ; it bisects the chord A B , and also the arc A E B. Draw the radii CA and CB and the chords AE and EB . As equal oblique 4 ...
... chord bisects the chord and the arc subtended by the chord . Let CE be a radius perpendicular to the chord AB ; it bisects the chord A B , and also the arc A E B. Draw the radii CA and CB and the chords AE and EB . As equal oblique 4 ...
Σελίδα 54
... chord coincides with its arc . Let A B be an infinitely small chord ; it coincides with the arc A D B. H Draw the diameter CD perpendicu- lar to the chord AB 54.
... chord coincides with its arc . Let A B be an infinitely small chord ; it coincides with the arc A D B. H Draw the diameter CD perpendicu- lar to the chord AB 54.
Σελίδα 55
... chord would coincide with its arc ( 25 ) , the polygon would be the circle itself . 27. Scholium . It might be supposed that although the dif- ference between each chord and its arc is infinitesimal , yet as there is an infinite number ...
... chord would coincide with its arc ( 25 ) , the polygon would be the circle itself . 27. Scholium . It might be supposed that although the dif- ference between each chord and its arc is infinitesimal , yet as there is an infinite number ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCDEF acute angle adjacent altitude angle BCD apothem arc or angle bisect centre chord circumference comp cone construct the triangle convex surface Corollary cosec decr diagonals diameter distance divided draw equiangular equilateral equivalent feet Find the Log frustum Geom given angle given line given point given side hypothenuse included angle incr inscribed internal angles isosceles triangle lines A B Logarithm M.
M. Sine multiplied number of sides opposite side parallelogram parallelopiped perimeter perpendicular PLANE GEOMETRY plane triangle PLANE TRIGONOMETRY prism PROBLEM quadrilateral radii radius ratio rectangle regular polygon right angle right pyramid right triangle right-angled triangle Scholium secant segment side opposite similar triangles slant height sphere square straight line Tang tangent THEOREM THEOREM VII trapezoid triangle ABC TRIGONOMETRY vertex
Δημοφιλή αποσπάσματα
Σελίδα 30 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 49 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Σελίδα 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 11 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 23 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.
Σελίδα 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
Σελίδα 71 - The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude.
Σελίδα 40 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Σελίδα 23 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.