Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 σελίδες |
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Σελίδα 9
... surfaces , and solids . The relative positions of these give rise to magnitudes of direction , or angles , which will be defined in their proper connections . SEC . II . - OF TERMS AND SIGNS . ( 9 ) Sec INTRODUCTION General Definitions.
... surfaces , and solids . The relative positions of these give rise to magnitudes of direction , or angles , which will be defined in their proper connections . SEC . II . - OF TERMS AND SIGNS . ( 9 ) Sec INTRODUCTION General Definitions.
Σελίδα 13
... direction between the two lines . The lines themselves are said to contain the angle , and are called its SIDES . The point from which they diverge is called the VERTEX . Thus , AB and BC are the sides , and B the vertex of the angle ...
... direction between the two lines . The lines themselves are said to contain the angle , and are called its SIDES . The point from which they diverge is called the VERTEX . Thus , AB and BC are the sides , and B the vertex of the angle ...
Σελίδα 14
... direction , which is contrary to the definition . Scholium . Lines having the same direction may also be said to have exactly opposite directions when taken in different ways . Thus , the direction AB is opposite to the direction DC . 5 ...
... direction , which is contrary to the definition . Scholium . Lines having the same direction may also be said to have exactly opposite directions when taken in different ways . Thus , the direction AB is opposite to the direction DC . 5 ...
Σελίδα 16
... direction from H that its part GE has from G ( Def . 6 , Sec . I ) ; and since HD and GB are by hy- pothesis parallel , HD has the same direction from H that GB has from G ( Def . 4 , Sec . IV ) . Therefore , the difference in direction ...
... direction from H that its part GE has from G ( Def . 6 , Sec . I ) ; and since HD and GB are by hy- pothesis parallel , HD has the same direction from H that GB has from G ( Def . 4 , Sec . IV ) . Therefore , the difference in direction ...
Σελίδα 59
... direction , as DF , it is evident that it will not cut the other sides proportionally . THEOREM TIL Two triangles which are mutually equiangular are also similar . Let ABC , BDE , be two tri- angles having BOOK II . 59.
... direction , as DF , it is evident that it will not cut the other sides proportionally . THEOREM TIL Two triangles which are mutually equiangular are also similar . Let ABC , BDE , be two tri- angles having BOOK II . 59.
Άλλες εκδόσεις - Προβολή όλων
Primary Elements of Plane and Solid Geometry: For Schools and Academies E W (Evan Wilhelm) 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E. W. 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCDEF allel alternate angles altitude angle BAC angles ABC apothegm base multiplied bisect called chord circle circumference cone consequently convex surface diagonals diameter divided draw Eclectic Reader equal Theo equal to half equivalent frustum Geometry given point half the arc half the product Hence hypotenuse included angle inscribed angle intersect isosceles triangle Let ABCD let fall McGuffey's measured by half mutually equiangular mutually equilateral number of equal number of sides opposite parallelogram perimeter perpendicular perpendicular distance prism proportion proved Published by W. B. quadrilateral radii radius Ray's rectangle regular inscribed regular polygon regular pyramid right angles right parallelopiped right-angled triangle Schol semicircle side BC slant hight solidity square straight line SUPT tangent THEOREM trapezoid triangles ABC triangles are equal triangular vertex W. B. SMITH
Δημοφιλή αποσπάσματα
Σελίδα 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 42 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 21 - 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 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Σελίδα 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Σελίδα 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Σελίδα 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Σελίδα 30 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 69 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...