Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 σελίδες |
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Σελίδα 22
... circumference is called a radius or semidiameter , and every straight line , as AB , which passes through the centre and is terminated each way by the circumference , is called a diameter . By the definition of a circle the radii are ...
... circumference is called a radius or semidiameter , and every straight line , as AB , which passes through the centre and is terminated each way by the circumference , is called a diameter . By the definition of a circle the radii are ...
Σελίδα 23
... circumference of the circle . In this case , the circle is said to be circumscribed about the figure . 96. A secant is a line , which meets the circumference in two points , as AB ( fig . 48 ) . 97. A tangent is a line which has only ...
... circumference of the circle . In this case , the circle is said to be circumscribed about the figure . 96. A secant is a line , which meets the circumference in two points , as AB ( fig . 48 ) . 97. A tangent is a line which has only ...
Σελίδα 24
... circumference , the greater arc subtends the greater chord . Demonstration . Let the arc AH ( fig . 50 ) be greater than AD , and let the chords AD and AH , and the radii CD , CH , be drawn . The two sides AC , CH , of the triangle ACH ...
... circumference , the greater arc subtends the greater chord . Demonstration . Let the arc AH ( fig . 50 ) be greater than AD , and let the chords AD and AH , and the radii CD , CH , be drawn . The two sides AC , CH , of the triangle ACH ...
Σελίδα 25
... circumference of a circle may be made to pass through Fig . 52 . any three points , A , B , C ( fig . 52 ) , which are not in the same 1 straight line , but the circumference of only one circle 4 Of the Circle . 25.
... circumference of a circle may be made to pass through Fig . 52 . any three points , A , B , C ( fig . 52 ) , which are not in the same 1 straight line , but the circumference of only one circle 4 Of the Circle . 25.
Σελίδα 26
... circumference , discribed from the centre O with the radius OB , will pass through the three points A , B , C. It is thus proved , that the circumference of a circle may be made to pass through any three given points , which are not in ...
... circumference , discribed from the centre O with the radius OB , will pass through the three points A , B , C. It is thus proved , that the circumference of a circle may be made to pass through any three given points , which are not in ...
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...