An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 2
... greater than any of its parts . 7. The whole of a magnitude is equal to the sum of all its parts . 8. Magnitudes respectively equal to the same magnitude are equal to each other . 9. A straight line is the shortest distance between two ...
... greater than any of its parts . 7. The whole of a magnitude is equal to the sum of all its parts . 8. Magnitudes respectively equal to the same magnitude are equal to each other . 9. A straight line is the shortest distance between two ...
Σελίδα 3
... a right angle ; as E CB . D A B C 4. An Obtuse Angle is greater than a right 4 angle ; as ACE . Acute and obtuse angles are called oblique angles . E B PLANE GEOMETRY . 5. The Complement of an angle is BOOK I ANGLES, LINES, POLYGONS.
... a right angle ; as E CB . D A B C 4. An Obtuse Angle is greater than a right 4 angle ; as ACE . Acute and obtuse angles are called oblique angles . E B PLANE GEOMETRY . 5. The Complement of an angle is BOOK I ANGLES, LINES, POLYGONS.
Σελίδα 13
... greater than BC , and from A B cut off A D equal to BC and join DC . The A triangles ADC and ABC have the two sides ... greater side of a triangle is opposite the greater angle ; and , conversely , the greater angle is opposite the ...
... greater than BC , and from A B cut off A D equal to BC and join DC . The A triangles ADC and ABC have the two sides ... greater side of a triangle is opposite the greater angle ; and , conversely , the greater angle is opposite the ...
Σελίδα 14
... greater than the angle C , it must be either equal to it or less . It cannot be equal , because then the side A B A C ( 45 ) , which is contrary to the hypoth- esis . It cannot be less , because then , by the former part of this theorem ...
... greater than the angle C , it must be either equal to it or less . It cannot be equal , because then the side A B A C ( 45 ) , which is contrary to the hypoth- esis . It cannot be less , because then , by the former part of this theorem ...
Σελίδα 15
... greater . Let A be the given point , BC the given line , A D the perpendicular , and A E , AB , A C oblique lines . 1st . In the triangle A D E , the an- B. E gle A D E being a right angle is greater than the angle A E D ; therefore AD ...
... greater . Let A be the given point , BC the given line , A D the perpendicular , and A E , AB , A C oblique lines . 1st . In the triangle A D E , the an- B. E gle A D E being a right angle is greater than the angle A E D ; therefore AD ...
Άλλες εκδόσεις - Προβολή όλων
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.