Elements of Geometry: With, Practical ApplicationsD. Appleton and Company, 1850 - 320 σελίδες |
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Σελίδα 11
... difference of direction of the two lines . X. When a straight line AB is met by another straight line DC , so as to make the adjacent angles ACD , BCD equal to each other , each is called a right - angle . The line DC , thus meeting the ...
... difference of direction of the two lines . X. When a straight line AB is met by another straight line DC , so as to make the adjacent angles ACD , BCD equal to each other , each is called a right - angle . The line DC , thus meeting the ...
Σελίδα 56
... by simply inspecting the following diagram : 28 D C d ( a + b + c ) d 22 с ( a + b ) c 6.2 b ab 62 a a2 ab ( a + b ) c ( a + b + c ) d A α א PROPOSITION VI . THEOREM . The square of the difference 56 ELEMENTS OF GEOMETRY .
... by simply inspecting the following diagram : 28 D C d ( a + b + c ) d 22 с ( a + b ) c 6.2 b ab 62 a a2 ab ( a + b ) c ( a + b + c ) d A α א PROPOSITION VI . THEOREM . The square of the difference 56 ELEMENTS OF GEOMETRY .
Σελίδα 57
... difference of two lines is less than the sum of their squares , by twice the rectan gle of the said lines . Let AC , BC be any two lines , and AB their difference ; then will the square of AB be less than the sum of the squares of AC ...
... difference of two lines is less than the sum of their squares , by twice the rectan gle of the said lines . Let AC , BC be any two lines , and AB their difference ; then will the square of AB be less than the sum of the squares of AC ...
Σελίδα 58
... difference of two lines , is equal to the difference of the squares of those lines . Let AB , BC be any two unequal lines ; then will the difference of the squares of AB , AC , be equal to a rectangle under their sum and differ- That is ...
... difference of two lines , is equal to the difference of the squares of those lines . Let AB , BC be any two unequal lines ; then will the difference of the squares of AB , AC , be equal to a rectangle under their sum and differ- That is ...
Σελίδα 59
With, Practical Applications George Roberts Perkins. AC . Therefore , the difference of the squares of AB and AC is equal to the rectangle under their sum and dif- ference . ( 49. ) This proposition corresponds with the following ...
With, Practical Applications George Roberts Perkins. AC . Therefore , the difference of the squares of AB and AC is equal to the rectangle under their sum and dif- ference . ( 49. ) This proposition corresponds with the following ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c altitude angle ABC angle BAC angle BCD bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder denote diagonal diameter dicular distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line AC line CD lines drawn measured by half meet multiplied number of sides parallel planes parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar similar triangles solid angle sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Δημοφιλή αποσπάσματα
Σελίδα 231 - 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 147 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Σελίδα 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Σελίδα 28 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Σελίδα 233 - The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H.
Σελίδα 276 - THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side...
Σελίδα 120 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 18 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.
Σελίδα 232 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 96 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.