Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 17
... Units of angle . A right angle is a unit of angle useful for many purposes . Sometimes a smaller unit of angle is needed . A degree is one - ninetieth of a right angle ; a minute is one - sixtieth of a degree ; a second is one ...
... Units of angle . A right angle is a unit of angle useful for many purposes . Sometimes a smaller unit of angle is needed . A degree is one - ninetieth of a right angle ; a minute is one - sixtieth of a degree ; a second is one ...
Σελίδα 124
... units . To measure a given magnitude is to find how many times the given magnitude contains another magnitude of the same kind taken as a unit . 244. The numerical measure of a magnitude is the num- ber which expresses how many times the ...
... units . To measure a given magnitude is to find how many times the given magnitude contains another magnitude of the same kind taken as a unit . 244. The numerical measure of a magnitude is the num- ber which expresses how many times the ...
Σελίδα 125
... unit of measure . Thus , 12 ft . and 25 ft . have the common unit of measure , 1 ft . , and hence are commensurable magnitudes ; also 13 bus . and 7 bus . have a common unit , 1 peck , and are commensurable . 248. Incommensurable ...
... unit of measure . Thus , 12 ft . and 25 ft . have the common unit of measure , 1 ft . , and hence are commensurable magnitudes ; also 13 bus . and 7 bus . have a common unit , 1 peck , and are commensurable . 248. Incommensurable ...
Σελίδα 127
... unit of measure ? Ex . 2. If c denote a constant and v and v ' variables , is the value of each of the following a variable or a constant : traté . v с , x ,? Illus- PROPOSITION XVII . THEOREM 254. If two variables are always METHOD OF ...
... unit of measure ? Ex . 2. If c denote a constant and v and v ' variables , is the value of each of the following a variable or a constant : traté . v с , x ,? Illus- PROPOSITION XVII . THEOREM 254. If two variables are always METHOD OF ...
Σελίδα 130
... unit of meas- LA'O'D A'D - LAOB AB Cons.r Case I. If now we let the unit of measure be indefinitely dimin- ished , the arc DB ' , which is less than the unit of measure , will be indefinitely diminished . Hence arc A'Darc A'B ' as a ...
... unit of meas- LA'O'D A'D - LAOB AB Cons.r Case I. If now we let the unit of measure be indefinitely dimin- ished , the arc DB ' , which is less than the unit of measure , will be indefinitely diminished . Hence arc A'Darc A'B ' as a ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle adjacent angles altitude apothem base bisects chord circumference circumscribed circumscribed circle coincide construct a square Construct a triangle denoted diagonal diameter divided draw a line equal angles equal circles equiangular polygon equidistant equilateral triangle EXERCISES exterior angle figure Find the area Find the radius geometric given angle given circle given line given point given triangle greater Hence homologous sides hypotenuse inscribed angle inscribed polygon intersect isosceles trapezoid isosceles triangle LAOB length Let the pupil line drawn median method midpoint number of sides parallel lines parallelogram perimeter plane PROBLEM produced Prop pupil supply Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segments tangent THEOREM third side trapezoid triangle ABC vertex vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 88 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 103 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Σελίδα 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...