Elements of Geometry and Conic SectionsHarper, 1858 - 234 σελίδες |
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Αποτελέσματα 1 - 5 από τα 24.
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 , BCE . 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 , BCE . 10. When a straight line , meeting another straight line . makes the adjacent angles equal ...
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 , BCE . 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 , BCE . 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 tri ingles as it has sides . Now the sum of the three E D angles of each of these triangles , is 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 tri ingles as it has sides . Now the sum of the three E D angles of each of these triangles , is 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 , A the ratio of A to B is written Β ́ ...
... 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 , A the ratio of A to B is written Β ́ ...
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 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC Loomis major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN prism Professor of Mathematics PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment side AC similar similar triangles 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 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, their third sides will be equal, and their other angles will be equal, each to each.
Σελίδα 101 - When you have proved that the three angles of every triangle are equal to two 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 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Σελίδα 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.