Plane and Solid GeometryLongmans, Green and Company, 1898 - 210 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 68
... construct the triangle . See 94 , 183 . A D E 4. Given the side of an equilateral triangle , to construct the triangle . PROPOSITION XVI . PROBLEM . 185. To bisect a given arc . A B E D Let AB be the given arc . To bisect AB . It is ...
... construct the triangle . See 94 , 183 . A D E 4. Given the side of an equilateral triangle , to construct the triangle . PROPOSITION XVI . PROBLEM . 185. To bisect a given arc . A B E D Let AB be the given arc . To bisect AB . It is ...
Σελίδα 69
... construct an angle equal to a given angle . C B F B ' Let C ' be the given point in the given line C'B ' , and C the given angle . To construct at C " an angle equal to △ ACB . It is known ( from 173 ) that in equal circles equal arcs ...
... construct an angle equal to a given angle . C B F B ' Let C ' be the given point in the given line C'B ' , and C the given angle . To construct at C " an angle equal to △ ACB . It is known ( from 173 ) that in equal circles equal arcs ...
Σελίδα 70
... construct its complement ; to construct its sup- plement . See 40 , 41 . PROPOSITION XIX . PROBLEM . 188. Given two angles of a triangle , to find the third . A B Let A and B be the given angles . To find the third angle . -D E It is ...
... construct its complement ; to construct its sup- plement . See 40 , 41 . PROPOSITION XIX . PROBLEM . 188. Given two angles of a triangle , to find the third . A B Let A and B be the given angles . To find the third angle . -D E It is ...
Σελίδα 71
... construct at A on the line DA an angle opposite ZADC and ( by 187 ) equal to it , that is , the angle DAE ; then EF ... construct the triangle . n m D LA Α B Let m and n be the given sides , and A ' their included angle . To construct ...
... construct at A on the line DA an angle opposite ZADC and ( by 187 ) equal to it , that is , the angle DAE ; then EF ... construct the triangle . n m D LA Α B Let m and n be the given sides , and A ' their included angle . To construct ...
Σελίδα 72
... construct the triangle . 2. Given a side and any two angles to construct the triangle . 3. Show when the problem ( 190 ) is impossible . PROPOSITION XXII . PROBLEM . 191. Given the three sides of a triangle , to construct the triangle ...
... construct the triangle . 2. Given a side and any two angles to construct the triangle . 3. Show when the problem ( 190 ) is impossible . PROPOSITION XXII . PROBLEM . 191. Given the three sides of a triangle , to construct the triangle ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC² acute angle AD² adjacent adjacent angles altitude angle formed angles are equal apothem arc BC base and altitude bisect bisector called centre chord circumference circumscribed cone cylinder diagonals diameter diedral angles distance divided draw drawn ECDH equally distant equilateral equivalent EXERCISES faces four right angles frustum given point given straight line hence homologous homologous sides hypotenuse inscribed polygon interior angles intersection isosceles triangle join lateral area lateral edges Let ABC lune mean proportional measured by one-half middle point number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron PROPOSITION XI prove pyramid Q.E.D. PROPOSITION quadrilateral radii radius ratio rectangle rectangular parallelopiped regular polygon right triangle SCHOLIUM segments semiperimeter sphere spherical angle spherical polygon spherical triangle surface tangent THEOREM triangle ABC triangles are equal triangular triangular prism V-ABC vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 46 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.
Σελίδα 105 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 82 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Σελίδα 192 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 108 - Two triangles having 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.
Σελίδα 146 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 30 - In an isosceles triangle, the angles opposite the equal sides are equal.
Σελίδα 80 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 79 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Σελίδα 148 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.