Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 13
... produced to any distance , or can be terminated at any point . 3. That the circumference of a circle can be described about any centre , at any distance from that centre . 48. SYMBOLS AND ABBREVIATIONS . DEFINITIONS . 13.
... produced to any distance , or can be terminated at any point . 3. That the circumference of a circle can be described about any centre , at any distance from that centre . 48. SYMBOLS AND ABBREVIATIONS . DEFINITIONS . 13.
Σελίδα 14
... circle . circles . + increased by . - diminished by . X multiplied by . divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary . Q. E. D. quod erat demonstran- dum . Q. E. F. quod erat ...
... circle . circles . + increased by . - diminished by . X multiplied by . divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary . Q. E. D. quod erat demonstran- dum . Q. E. F. quod erat ...
Σελίδα 73
... Circle is a plane figure bounded by a curved line , all the points of which are equally distant from a point within called the Centre . 161. DEF . The Circumference of a circle is the line which bounds the ... circle is a CIRCLES DEFINITIONS.
... Circle is a plane figure bounded by a curved line , all the points of which are equally distant from a point within called the Centre . 161. DEF . The Circumference of a circle is the line which bounds the ... circle is a CIRCLES DEFINITIONS.
Σελίδα 74
... circle enclosed by an arc and its chord , as A M B , Fig . 1 . 168. DEF . A Semicircle is a segment equal to one ... circles are circles which have equal 74 BOOK II . GEOMETRY . -
... circle enclosed by an arc and its chord , as A M B , Fig . 1 . 168. DEF . A Semicircle is a segment equal to one ... circles are circles which have equal 74 BOOK II . GEOMETRY . -
Σελίδα 75
George Albert Wentworth. 175. DEF . Equal circles are circles which have equal radii . For if one circle be applied ... circle and its circumference . For if we fold over the segment A M B on A B as an axis until it comes into the plane ...
George Albert Wentworth. 175. DEF . Equal circles are circles which have equal radii . For if one circle be applied ... circle and its circumference . For if we fold over the segment A M B on A B as an axis until it comes into the plane ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude bisect centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided Draw equal respectively equally distant equilateral equivalent figure frustum Geometry given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC limit line A B measured by arc middle point mutually equiangular number of sides opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 132 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 140 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 206 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 40 - 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.
Σελίδα 353 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 179 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 192 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 150 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.