An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα
... constructed as the proof will require . A sixth Book of Problems of Construction is added , which is followed by Problems for the pupil to solve . This Book , or any part of it , if thought best , can be taken immediately after com ...
... constructed as the proof will require . A sixth Book of Problems of Construction is added , which is followed by Problems for the pupil to solve . This Book , or any part of it , if thought best , can be taken immediately after com ...
Σελίδα 39
... construct squares , draw BD perpendicu- lar to A C , and produce it to FE ; DCEL is a rectangle whose area is ( 7 ) = CEXCD ACX CD The area of the square ( 9 ) BIKCB C2 H B K But ( 25 ) or F E AC : BC BC : CD ACX CD BC2 that is , the ...
... construct squares , draw BD perpendicu- lar to A C , and produce it to FE ; DCEL is a rectangle whose area is ( 7 ) = CEXCD ACX CD The area of the square ( 9 ) BIKCB C2 H B K But ( 25 ) or F E AC : BC BC : CD ACX CD BC2 that is , the ...
Σελίδα 47
... constructing the squares on oppo- site sides of AB and BC from that on which they are drawn in the figure in Art . 62 ; moving the square A GHB on AB , a distance equal to BC in the direction BA ; then proving. BOOK II . 47.
... constructing the squares on oppo- site sides of AB and BC from that on which they are drawn in the figure in Art . 62 ; moving the square A GHB on AB , a distance equal to BC in the direction BA ; then proving. BOOK II . 47.
Σελίδα 89
... constructed . The Problems of Construc- tion given in this Book depend for their solution upon the prin- ciples of the preceding Books . In some of the problems the construction and demonstration are given in full ; in others the ...
... constructed . The Problems of Construc- tion given in this Book depend for their solution upon the prin- ciples of the preceding Books . In some of the problems the construction and demonstration are given in full ; in others the ...
Σελίδα 92
... construct the triangle . C Take A B equal to one of the given sides ; with A as a centre , with a radius equal to another of the given sides , describe an arc , and with B as a centre , with a radius equal to the remaining side ...
... construct the triangle . C Take A B equal to one of the given sides ; with A as a centre , with a radius equal to another of the given sides , describe an arc , and with B as a centre , with a radius equal to the remaining side ...
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.