Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Σελίδα
... give in full and proportioned , yet clear and compact statement , the elements of this important branch of science , in their latest aspects and applications . Sheldon & Company's Text - Books . OLNEY'S SERIES OF Educ T 148,78,687.
... give in full and proportioned , yet clear and compact statement , the elements of this important branch of science , in their latest aspects and applications . Sheldon & Company's Text - Books . OLNEY'S SERIES OF Educ T 148,78,687.
Σελίδα
... give them in so simple and attractive a manner , that few will desire to do so . A complete classification has been made ; and each subject is treated by itself as distinctly as possible . It has been my object to make the definitions ...
... give them in so simple and attractive a manner , that few will desire to do so . A complete classification has been made ; and each subject is treated by itself as distinctly as possible . It has been my object to make the definitions ...
Σελίδα
... give a demonstration correctly , without being able to state afterwards the hypothesis , or what he has proved . These are therefore given in a distinct form . Exercises and numerical examples are inserted in numbers sufficiently great ...
... give a demonstration correctly , without being able to state afterwards the hypothesis , or what he has proved . These are therefore given in a distinct form . Exercises and numerical examples are inserted in numbers sufficiently great ...
Σελίδα 55
... Let B and C be the two given sides , and A the included angle . * The student should give in full the entire construction of any problem referred to . 1 A SOLUTION . Draw the indefinite straight line AD , Воок ІІ . ] 55 THE CIRCLE .
... Let B and C be the two given sides , and A the included angle . * The student should give in full the entire construction of any problem referred to . 1 A SOLUTION . Draw the indefinite straight line AD , Воок ІІ . ] 55 THE CIRCLE .
Σελίδα 72
... gives the direction from A to B to C . . . ; and ADCB gives the opposite direc- tion . If ABCD denotes a positive area , ADCB may desig- nate a negative area , and ABCD = - ADCB . Theorem . If from any point , O , in the plane of a ...
... gives the direction from A to B to C . . . ; and ADCB gives the opposite direc- tion . If ABCD denotes a positive area , ADCB may desig- nate a negative area , and ABCD = - ADCB . Theorem . If from any point , O , in the plane of a ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angles are equal anharmonic ratio bisect called centre chord circle circumference circumscribed polygon cone congruent construct cylinder diagonals diameter dihedrals distance divided draw equal altitudes equal bases equally distant equations equiangular EXERCISE exterior angle face angles formed frustum Geometry harmonically hence homologous HYPOTH infinite number inscribed angle intersection lateral edges line joining lines drawn locus middle point number of sides Olney's opposite sides P₁ parallel lines parallelogram parallelopiped pass perpendicular plane angle point of contact polar pole polyhedral polyhedron prism Problem PROOF proportional PROVED pyramid quadrilateral radical axis radii radius rectangle regular polygon right angles SCHOLIUM segments solid angle sphere spherical excess spherical polygon spherical triangle square straight line symmetrical tangent Theorem triangle ABC trihedrals vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 19 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 34 - 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.
Σελίδα 14 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Σελίδα 75 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 170 - Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent.
Σελίδα 69 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.