Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
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Σελίδα 12
... scholium is a remark appended to a proposition . 28. An hypothesis is a supposition made either in the enun- ciation of a proposition , or in the course of a demonstration . Axioms . 1. Things which are equal to the same thing are equal ...
... scholium is a remark appended to a proposition . 28. An hypothesis is a supposition made either in the enun- ciation of a proposition , or in the course of a demonstration . Axioms . 1. Things which are equal to the same thing are equal ...
Σελίδα 20
... Scholium . Any side of a triangle may be considered as its base , and the opposite angle as its vertex ; but in an isos- celes triangle , that side is usually regarded as the base , which is not equal to either of the others ...
... Scholium . Any side of a triangle may be considered as its base , and the opposite angle as its vertex ; but in an isos- celes triangle , that side is usually regarded as the base , which is not equal to either of the others ...
Σελίδα 23
... 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 . PROPOSITION XVI . THEOREM . From a point without a straight line , only one ...
... 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 . PROPOSITION XVI . THEOREM . From a point without a straight line , only one ...
Σελίδα 27
... Scholium . When a straight line intersects two parallel lines , the in- terior angles on the same side , are those which lie within the parallels , A and on the same side of the secant line , as AGH , GHC ; also , BGH , GHD . Alternate ...
... Scholium . When a straight line intersects two parallel lines , the in- terior angles on the same side , are those which lie within the parallels , A and on the same side of the secant line , as AGH , GHC ; also , BGH , GHD . Alternate ...
Σελίδα 30
... Scholium . In this proposition , it is necessary that the two angles be similarly situated ; for , if we produce FE to H , the angle DEH has its sides parallel to those of the angle BAC ; but the two angles are not equal . PROPOSITION ...
... Scholium . In this proposition , it is necessary that the two angles be similarly situated ; for , if we produce FE to H , the angle DEH has its sides parallel to those of the angle BAC ; but the two angles are not equal . PROPOSITION ...
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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.