Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 σελίδες |
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Σελίδα 32
... half the product of its base by its altitude . THEOREM XVIII . The area of a trapezoid is equal to half the product of the sum of its parallel sides by its altitude . Let ABCD be a trapezoid of D which AB and DC are the par- allel sides ...
... half the product of its base by its altitude . THEOREM XVIII . The area of a trapezoid is equal to half the product of the sum of its parallel sides by its altitude . Let ABCD be a trapezoid of D which AB and DC are the par- allel sides ...
Σελίδα 33
... half the product of the sum of AB and DC into the altitude . Hence , the area of a trapezoid , etc. THEOREM XIX . The square described on the hypotenuse of a right- angled triangle is equivalent to the sum of the described on the other ...
... half the product of the sum of AB and DC into the altitude . Hence , the area of a trapezoid , etc. THEOREM XIX . The square described on the hypotenuse of a right- angled triangle is equivalent to the sum of the described on the other ...
Σελίδα 37
... half of BAF ; therefore , GCB must be half of the equal angle BCD , that is , BCD is bi- sected by GC . Hence , it may be shown in the same manner as before that the triangles BGC ... half the product of its base by its altitude , BOOK I. 37.
... half of BAF ; therefore , GCB must be half of the equal angle BCD , that is , BCD is bi- sected by GC . Hence , it may be shown in the same manner as before that the triangles BGC ... half the product of its base by its altitude , BOOK I. 37.
Σελίδα 38
... half the product of the sum of their bases by their com- mon altitude : that is , the area of a regular polygon is equal to half the product of its perimeter by its apothegm .士 EXERCISES . 1. To how many right angles are all the angles ...
... half the product of the sum of their bases by their com- mon altitude : that is , the area of a regular polygon is equal to half the product of its perimeter by its apothegm .士 EXERCISES . 1. To how many right angles are all the angles ...
Σελίδα 47
... half the product of its radius by its circumference . Let ABC be a circle , of which DB or DC is radius . If we ... half the product of its apothegm by its perimeter ( Cor . , Theo . XXI ) . Therefore , the area of the circle must be ...
... half the product of its radius by its circumference . Let ABC be a circle , of which DB or DC is radius . If we ... half the product of its apothegm by its perimeter ( Cor . , Theo . XXI ) . Therefore , the area of the circle must be ...
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...