The Elements of Plane and Solid GeometryLongmans, Green, and, Company, 1871 - 285 σελίδες |
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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 31
... pair of lines unequally inclined to the perpendicular the line nearer to it shall be less than that more remote . Let AB be the given straight line , and C the point with- out it . Ist . It shall be always possible to draw one , and ...
... pair of lines unequally inclined to the perpendicular the line nearer to it shall be less than that more remote . Let AB be the given straight line , and C the point with- out it . Ist . It shall be always possible to draw one , and ...
Σελίδα 38
... pair of alternate angles , or in any pair of cor- responding angles equal to each other , or make the two interior angles on either side of the cutting line together equal to two right angles , these two straight lines shall be parallel ...
... pair of alternate angles , or in any pair of cor- responding angles equal to each other , or make the two interior angles on either side of the cutting line together equal to two right angles , these two straight lines shall be parallel ...
Σελίδα 39
... pair of alternate angles , or in any pair of corresponding angles , equal to each other , and also the two interior angles on either side of the cutting line together equal to two right angles . Let the straight line EF cut the two ...
... pair of alternate angles , or in any pair of corresponding angles , equal to each other , and also the two interior angles on either side of the cutting line together equal to two right angles . Let the straight line EF cut the two ...
Σελίδα 40
... pair of corresponding angles , as EGB and GHD , shall be equal to each other . Because AB is parallel to CD , therefore the angles AGH and GHD are equal by the first case . Because EGB and AGH are vertically opposite angles , therefore ...
... pair of corresponding angles , as EGB and GHD , shall be equal to each other . Because AB is parallel to CD , therefore the angles AGH and GHD are equal by the first case . Because EGB and AGH are vertically opposite angles , therefore ...
Σελίδα 41
... pair of interior angles is situated . Let the straight line EF , cutting the two straight lines AB and CD make the two interior angles BGH and GHD , together , less than two right angles . AB and CD , if produced far enough towards B ...
... pair of interior angles is situated . Let the straight line EF , cutting the two straight lines AB and CD make the two interior angles BGH and GHD , together , less than two right angles . AB and CD , if produced far enough towards B ...
Άλλες εκδόσεις - Προβολή όλων
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