Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 10
... divided . Thus , the angle BCD is the sum of the two angles BCE , ECD ; and the angle ECD is the differ- ence between the two angles BCD , BCĚ . 10. When a straight line , meeting another straight line , makes the adjacent angles equal ...
... divided . Thus , the angle BCD is the sum of the two angles BCE , ECD ; and the angle ECD is the differ- ence between the two angles BCD , BCĚ . 10. When a straight line , meeting another straight line , makes the adjacent angles equal ...
Σελίδα 31
... from any point , F , within it , draw lines FA , FB , FC , & c . , to all the angles . The polygon is thus divided into as many triangles as it has sides . Now the sum of the three angles of each of these triangles , is equal to BOOK I. 31.
... from any point , F , within it , draw lines FA , FB , FC , & c . , to all the angles . The polygon is thus divided into as many triangles as it has sides . Now the sum of the three angles of each of these triangles , is equal to BOOK I. 31.
Σελίδα 36
... divided by 6 , i . e . , or , the number 2 being the third part of 6. So , also , the ra- tio of 3 feet to 6 feet is expressed by or 1 . A ratio is most conveniently written as a fraction ; thus , the ratio of A to B is written A Β ́ 36 ...
... divided by 6 , i . e . , or , the number 2 being the third part of 6. So , also , the ra- tio of 3 feet to 6 feet is expressed by or 1 . A ratio is most conveniently written as a fraction ; thus , the ratio of A to B is written A Β ́ 36 ...
Σελίδα 54
... divided , being each equal to any of the four partial angles into which DEF is divided , the partial arcs will also be equal to each other ( Prop . IV . ) , and the entire arc AB will be to the entire arc DF as 7 to 4. Now the same ...
... divided , being each equal to any of the four partial angles into which DEF is divided , the partial arcs will also be equal to each other ( Prop . IV . ) , and the entire arc AB will be to the entire arc DF as 7 to 4. Now the same ...
Σελίδα 59
... divided into seven equal parts , AE will contain four of those parts . At each point of divis- ion , erect a perpendicular to the base ; seven partial rectan- gles will thus be formed , all equal to each other , since they have equal ...
... divided into seven equal parts , AE will contain four of those parts . At each point of divis- ion , erect a perpendicular to the base ; seven partial rectan- gles will thus be formed , all equal to each other , since they have equal ...
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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.