Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 3
... meet is called a Line . The place at which any three of these lines meet is called a Point . If now the block be removed , we may think of the place occupied by the block as being of precisely the same shape and size as the block itself ...
... meet is called a Line . The place at which any three of these lines meet is called a Point . If now the block be removed , we may think of the place occupied by the block as being of precisely the same shape and size as the block itself ...
Σελίδα 7
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS .
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS .
Σελίδα 8
... meet . Two straight lines which meet have different directions ; for if they had the same direction they would never meet ( § 21 ) , which is contrary to the hypothesis that they do meet . ON PLANE ANGLES . 23. DEF . An Angle is the ...
... meet . Two straight lines which meet have different directions ; for if they had the same direction they would never meet ( § 21 ) , which is contrary to the hypothesis that they do meet . ON PLANE ANGLES . 23. DEF . An Angle is the ...
Σελίδα 9
... meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line A B meet the straight line CD so that the adjacent angles ABC and ABD are equal to one another ...
... meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line A B meet the straight line CD so that the adjacent angles ABC and ABD are equal to one another ...
Σελίδα 19
... meet the line CB at E. AC + CEAO + OE , ( a straight line is the shortest distance between two points ) , and BE + OE > BO . Add these inequalities , and we have CACE + BE + OE > OA + OE + O B. Substitute for CE + BE its equal C B , and ...
... meet the line CB at E. AC + CEAO + OE , ( a straight line is the shortest distance between two points ) , and BE + OE > BO . Add these inequalities , and we have CACE + BE + OE > OA + OE + O B. Substitute for CE + BE its equal C B , and ...
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'.