An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Σελίδα
... Proportion , are pre- sented in eighty - one Propositions , covering only seventy pages . This brevity has been attained by omitting all unconnected propositions , and adopting those definitions and demonstrations . that lead by the ...
... Proportion , are pre- sented in eighty - one Propositions , covering only seventy pages . This brevity has been attained by omitting all unconnected propositions , and adopting those definitions and demonstrations . that lead by the ...
Σελίδα
... PROPORTION . 25 BOOK II . RELATIONS OF POLYGONS . 31 Exercises 45 BOOK III . THE CIRCLE Exercises 49 61 BOOK IV . GEOMETRY OF SPACE . Planes and their Angles Exercises 68 689 64 BOOK V. POLYEDRONS . Prisms , Cylinders Pyramids , Cones ...
... PROPORTION . 25 BOOK II . RELATIONS OF POLYGONS . 31 Exercises 45 BOOK III . THE CIRCLE Exercises 49 61 BOOK IV . GEOMETRY OF SPACE . Planes and their Angles Exercises 68 689 64 BOOK V. POLYEDRONS . Prisms , Cylinders Pyramids , Cones ...
Σελίδα 24
... are , 1st . Triangles , squares , and hexagons . 2d . Squares , hexagons , and dodecagons . How many of each must there be at each angular point ? RATIO AND PROPORTION . DEFINITIONS . ( It is necessary 24 PLANE GEOMETRY .
... are , 1st . Triangles , squares , and hexagons . 2d . Squares , hexagons , and dodecagons . How many of each must there be at each angular point ? RATIO AND PROPORTION . DEFINITIONS . ( It is necessary 24 PLANE GEOMETRY .
Σελίδα 25
... proportion will be made by the abbreviation Pn . , with the number of the article annexed . ) 1. Ratio is the ... Proportion is an equality of ratios . Four quantities are in proportion when the ratio of the first to the second is equal ...
... proportion will be made by the abbreviation Pn . , with the number of the article annexed . ) 1. Ratio is the ... Proportion is an equality of ratios . Four quantities are in proportion when the ratio of the first to the second is equal ...
Σελίδα 26
... proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion . The first and fourth terms are called the extremes , and the second and third the means . 6. When three ...
... proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion . The first and fourth terms are called the extremes , and the second and third the means . 6. When three ...
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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.