Elements of Geometry and Conic SectionsHarper, 1858 - 234 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 6
... colleges is limited , and a variety of subjects demand attention , no attempt has been made to render this a complete record of all the known propositions of Geometry . On the contrary , nearly every thing has been excluded which is not ...
... colleges is limited , and a variety of subjects demand attention , no attempt has been made to render this a complete record of all the known propositions of Geometry . On the contrary , nearly every thing has been excluded which is not ...
Σελίδα 5
... colleges , the work of Euclid has been super- seded by that of Legendre . It seems superfluous to undertake a defense of Legendre's Geometry , when its merits are so generally appreciated . No one can doubt that , in respect of ...
... colleges , the work of Euclid has been super- seded by that of Legendre . It seems superfluous to undertake a defense of Legendre's Geometry , when its merits are so generally appreciated . No one can doubt that , in respect of ...
Σελίδα 6
... colleges is limited , and a variety of subjects demand attention , no attempt has been made to render this a complete record of all the known propositions of Geometry . On the contrary , nearly every thing has been excluded which is not ...
... colleges is limited , and a variety of subjects demand attention , no attempt has been made to render this a complete record of all the known propositions of Geometry . On the contrary , nearly every thing has been excluded which is not ...
Σελίδα
... College , N. H .; Williams College , Mass .; Am- herst College , Mass .; Yale College , Conn .; Trinity College , Conn .; Wesleyan University , Conn .; Hamilton College , N. Y .; New York University , N. Y .; Hobart Free College , N. Y ...
... College , N. H .; Williams College , Mass .; Am- herst College , Mass .; Yale College , Conn .; Trinity College , Conn .; Wesleyan University , Conn .; Hamilton College , N. Y .; New York University , N. Y .; Hobart Free College , N. Y ...
Σελίδα
... college students than any other I have seen.-C. GILL , late Professor of Mathematics in St. Paul's College . Prof. Loomis seems very happily to have observed the proper medium between exuberance of explanation and demonstration on the ...
... college students than any other I have seen.-C. GILL , late Professor of Mathematics in St. Paul's College . Prof. Loomis seems very happily to have observed the proper medium between exuberance of explanation and demonstration on the ...
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.