Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 σελίδες |
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Σελίδα vi
... four of which treat of plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet , those of perpendiculars , the theorem upon the sum of the ...
... four of which treat of plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the properties of straight lines which meet , those of perpendiculars , the theorem upon the sum of the ...
Σελίδα xiv
... four proportional quantities form a new proportion . by By multiplying the proportion we shall have A2 : B2 : C2 : D2 Ꭿ : B :: C : D , A3 : B 3 : : C3 : D3 , that is , the cubes of four proportional quantities form a new pro- portion ...
... four proportional quantities form a new proportion . by By multiplying the proportion we shall have A2 : B2 : C2 : D2 Ꭿ : B :: C : D , A3 : B 3 : : C3 : D3 , that is , the cubes of four proportional quantities form a new pro- portion ...
Σελίδα 2
... four sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexa- gon , & c . 15. A triangle is denominated equilateral ( fig . 7 ) , when the F. 8. three sides are equal , isosceles ( fig . 8 ) , when two ...
... four sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexa- gon , & c . 15. A triangle is denominated equilateral ( fig . 7 ) , when the F. 8. three sides are equal , isosceles ( fig . 8 ) , when two ...
Σελίδα 2
... four sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexa- gon , & c . 15. A triangle is denominated equilateral ( fig . 7 ) , when the F. 8. three sides are equal , isosceles ( fig . 8 ) , when two ...
... four sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexa- gon , & c . 15. A triangle is denominated equilateral ( fig . 7 ) , when the F. 8. three sides are equal , isosceles ( fig . 8 ) , when two ...
Σελίδα 4
... four distances CA , CB , GE , GF , equal to each other , the distance AB will be equal to the distance EF , and the line EF may be applied to AB , so that the point E will fall upon A , and the point F upon B. These two lines , thus ...
... four distances CA , CB , GE , GF , equal to each other , the distance AB will be equal to the distance EF , and the line EF may be applied to AB , so that the point E will fall upon A , and the point F upon B. These two lines , thus ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles algebraic algebraic quantities altitude angle ACB base centre chord circ circle circular sector circumference coefficient common divisor cone consequently contains Corollary cube cylinder Demonstration denominator denoted diameter divided dividend division equal equivalent evident example exponent expression factors figure fraction frustum given gives greater greatest common divisor homologous sides inscribed less letters logarithm manner measure multiplied obtain parallel parallelogram parallelopiped perpendicular plane MN polyedron preceding prism proportion proposed equation proposition quotient radical sign radii radius ratio rectangle reduced regular polygon remainder result right angles Scholium side BC similar solid angle sphere spherical square root straight line substitute subtract suppose term THEOREM third tion triangle ABC triangular pyramids unity unknown quantity vertex whence
Δημοφιλή αποσπάσματα
Σελίδα 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 7 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 151 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Σελίδα 76 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Σελίδα 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Σελίδα 160 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Σελίδα 203 - In every triangle the sum of the three angles is equal to two right angles.
Σελίδα 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Σελίδα 141 - If a pyramid is cut by a plane parallel to its base, the...