The Elements of Plane and Solid GeometryLongmans, Green, and, Company, 1871 - 285 σελίδες |
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Αποτελέσματα 1 - 5 από τα 67.
Σελίδα 10
... AB and BC of the triangle ABC , as in the annexed figure , we should take it for granted that the straight line BD ... Let A and B be any two points , and 1 Geometry . ΙΟ.
... AB and BC of the triangle ABC , as in the annexed figure , we should take it for granted that the straight line BD ... Let A and B be any two points , and 1 Geometry . ΙΟ.
Σελίδα 12
... Let ABC be a triangle , then any one of its sides as BC shall be less than the sum , and greater than the difference , of the two remain- ing sides AB and AC . B A Fig . 1 . C Because the two points B and C are joined by the straight ...
... Let ABC be a triangle , then any one of its sides as BC shall be less than the sum , and greater than the difference , of the two remain- ing sides AB and AC . B A Fig . 1 . C Because the two points B and C are joined by the straight ...
Σελίδα 13
... let there be two triangles ABC and DBC , having each of their vertices A and D outside of the other triangle , then the sum of the two intersecting sides AC and DB shall be greater than the sum of the two non - intersecting sides AB and DC ...
... let there be two triangles ABC and DBC , having each of their vertices A and D outside of the other triangle , then the sum of the two intersecting sides AC and DB shall be greater than the sum of the two non - intersecting sides AB and DC ...
Σελίδα 14
... let there be two triangles ABC and DBC , having the two sides BA and BD , terminated in B , equal to each other , and at the same time the two sides CA and CD , terminated in C , equal to each other . First , let the vertex A of one of ...
... let there be two triangles ABC and DBC , having the two sides BA and BD , terminated in B , equal to each other , and at the same time the two sides CA and CD , terminated in C , equal to each other . First , let the vertex A of one of ...
Σελίδα 15
... Let the triangle ABC be applied to , or placed upon , the triangle DEF , so that the point A may fall upon the point D , and the straight line AB upon the straight line DE . Then the point B shall fall upon the point E because AB is ...
... Let the triangle ABC be applied to , or placed upon , the triangle DEF , so that the point A may fall upon the point D , and the straight line AB upon the straight line DE . Then the point B shall fall upon the point E because AB is ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC and DEF ABCD adjacent angles angle ABC angle ACB angle BAC BC is equal centre circumference coincide common measure construction Corollary diameter dicular dihedral angle distance divided equal angles equal to AC equidistant exterior angle figure four right angles given angle given circle given plane given point given ratio given straight line greater homologous inscribed intersecting straight lines length less Let ABC line of intersection locus magnitudes meet the circle middle point multiple number of sides opposite sides parallelogram pentagon perpen perpendicular plane AC point F produced Prop PROPOSITION PROPOSITION 13 Prove radii radius rectangle regular polygon respectively equal rhombus right angles segments side BC similar triangles Similarly situated square straight line AB straight line BC subtended tangent triangle ABC triangle DEF
Δημοφιλή αποσπάσματα
Σελίδα 15 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 101 - Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, and BC the given straight line, it is required to draw a straight line through the point A, parallel to the line BC.
Σελίδα 126 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 222 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Σελίδα 188 - If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base ; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Σελίδα 204 - 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 14 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.
Σελίδα 12 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.
Σελίδα 161 - Ir there be any number of magnitudes, and as many others, which, taken two and two in order, have the same ratio ; the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the last. NB This is usually cited by the words