Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
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Σελίδα 17
... Hence , if two straight lines cut one another , the four angles formed at the point of intersection , are together equal to four right angles . Cor . 2. Hence , all the angles made by any number of straight lines meeting in one point ...
... Hence , if two straight lines cut one another , the four angles formed at the point of intersection , are together equal to four right angles . Cor . 2. Hence , all the angles made by any number of straight lines meeting in one point ...
Σελίδα 19
... hence AB is less than the sum of AC and BC . For the same reason , BC is less than the sum of AB and AC ; and AC less than the sum of AB and BC . Therefore , any two sides , & c . PROPOSITION IX . THEOREM . If , from a point within a ...
... hence AB is less than the sum of AC and BC . For the same reason , BC is less than the sum of AB and AC ; and AC less than the sum of AB and BC . Therefore , any two sides , & c . PROPOSITION IX . THEOREM . If , from a point within a ...
Σελίδα 21
... hence ACB must be greater than ABC . Therefore , the greater side , & c . PROPOSITION XIII . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , but the included angles unequal , the ...
... hence ACB must be greater than ABC . Therefore , the greater side , & c . PROPOSITION XIII . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , but the included angles unequal , the ...
Σελίδα 23
... hence the two triangles are equal . Therefore , if two triangles , & c . Scholium . In equal triangles , the equal angles are oppo- site to the equal sides ; thus , the equal angles A and D are opposite to the equal sides BC , EF ...
... hence the two triangles are equal . Therefore , if two triangles , & c . Scholium . In equal triangles , the equal angles are oppo- site to the equal sides ; thus , the equal angles A and D are opposite to the equal sides BC , EF ...
Σελίδα 24
... hence the side CF is equal to the side CA ( Prop . VI . ) . But the straight line ABF is shorter than the broken line ACF ( Prop . VIII . ) ; hence AB , the half of ABF , is shorter than AC , the half of ACF . Therefore , the ...
... hence the side CF is equal to the side CA ( Prop . VI . ) . But the straight line ABF is shorter than the broken line ACF ( Prop . VIII . ) ; hence AB , the half of ABF , is shorter than AC , the half of ACF . Therefore , the ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
Σελίδα 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 63 - 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 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Σελίδα 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 17 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
Σελίδα 148 - I.), that every section of a sphere made by a plane is a circle.