Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 9
... angle , consequently , will not be changed . 24. DEF . Adjacent Angles are angles having a common vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D C C F 25. DEF . A Right Angle is an angle ...
... angle , consequently , will not be changed . 24. DEF . Adjacent Angles are angles having a common vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D C C F 25. DEF . A Right Angle is an angle ...
Σελίδα 10
... right angles . and the given angle . Thus ACD is the supplement of the angle D C B ; also D C B is the supplement of the angle AC D. 32. DEF . Vertical Angles are angles which have the same vertex , and their sides extending in opposite ...
... right angles . and the given angle . Thus ACD is the supplement of the angle D C B ; also D C B is the supplement of the angle AC D. 32. DEF . Vertical Angles are angles which have the same vertex , and their sides extending in opposite ...
Σελίδα 11
... right angles ; and the sum of all the angles about a point on one side of a straight line drawn through that point , as AOB B.OC + COD , etc. , Fig . 2 , is equal to two right angles . Hence two adjacent angles , O CA and OC B , formed ...
... right angles ; and the sum of all the angles about a point on one side of a straight line drawn through that point , as AOB B.OC + COD , etc. , Fig . 2 , is equal to two right angles . Hence two adjacent angles , O CA and OC B , formed ...
Σελίδα 14
... right angle . rt . right angles . > is ( or are ) greater than . < is ( or are ) less than . rt . A right triangle . rt . A right triangles . O circle . circles . + increased by . - diminished by . X multiplied by . divided by . Post ...
... right angle . rt . right angles . > is ( or are ) greater than . < is ( or are ) less than . rt . A right triangle . rt . A right triangles . O circle . circles . + increased by . - diminished by . X multiplied by . divided by . Post ...
Σελίδα 15
... angles are equal . A- B Let line OP cross A B at C. We are to prove LOCB = LACP . LOCA + Z OCB 2 rt . 4 , $ 34 ... right angles . PROPOSITION II . THEOREM . 51. When the sum of PERPENDICULAR AND OBLIQUE LINES . 15 PERPENDICULAR AND ...
... angles are equal . A- B Let line OP cross A B at C. We are to prove LOCB = LACP . LOCA + Z OCB 2 rt . 4 , $ 34 ... right angles . PROPOSITION II . THEOREM . 51. When the sum of PERPENDICULAR AND OBLIQUE LINES . 15 PERPENDICULAR AND ...
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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'.