Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 σελίδες |
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Σελίδα 33
... two triangles , we have the area of the whole figure equal to 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 ... other two sides . Let ABC be a triangle ...
... two triangles , we have the area of the whole figure equal to 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 ... other two sides . Let ABC be a triangle ...
Σελίδα 34
... sum of the squares BAFG , BCIH . Therefore , the square described , etc. Cor . 1. The hypotenuse is equal to the square root of the sum of the squares of the other two sides . Cor . 2. The square of either of the sides contain- ing the ...
... sum of the squares BAFG , BCIH . Therefore , the square described , etc. Cor . 1. The hypotenuse is equal to the square root of the sum of the squares of the other two sides . Cor . 2. The square of either of the sides contain- ing the ...
Σελίδα 35
... sides containing the right angle of a right- angled triangle be 3 and 4 , what is the length of the hypotenuse ? 6. If the hypotenuse be 10 and one of the sides 8 , what is the length of the other ... two oblique lines that which is furthest ...
... sides containing the right angle of a right- angled triangle be 3 and 4 , what is the length of the hypotenuse ? 6. If the hypotenuse be 10 and one of the sides 8 , what is the length of the other ... two oblique lines that which is furthest ...
Σελίδα 67
... sides are to each other as the squares of their sides . Let ABCDE , abcde ... sum of all the angles of ABCDE is equal to the sum of all the angles of abcde , and consequently that each angle of ... two parallelograms of the same BOOK II . 67.
... sides are to each other as the squares of their sides . Let ABCDE , abcde ... sum of all the angles of ABCDE is equal to the sum of all the angles of abcde , and consequently that each angle of ... two parallelograms of the same BOOK II . 67.
Σελίδα 99
... sum of the other two sides as the dif- ference of the latter is to the difference of the former . Proof . Let BD be ... squares of the other sides , minus twice the product of the base by the distance from the acute angle to the foot of ...
... sum of the other two sides as the dif- ference of the latter is to the difference of the former . Proof . Let BD be ... squares of the other sides , minus twice the product of the base by the distance from the acute angle to the foot of ...
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...