Elements of Geometry and Conic SectionsHarper, 1858 - 234 σελίδες |
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Σελίδα 1
... AND AUTHOR OF A " COURSE OF MATHEMATICS . " FIFTEENTH EDITION . NEW YORK : HARPER & BROTHERS , PUBLISHERS , 329 & 331 PEARL STREET , ( FRANKLIN SQUARE . ) 1858 . 283068 1003 Entered , according to Act of Congress , ELEMENTS.
... AND AUTHOR OF A " COURSE OF MATHEMATICS . " FIFTEENTH EDITION . NEW YORK : HARPER & BROTHERS , PUBLISHERS , 329 & 331 PEARL STREET , ( FRANKLIN SQUARE . ) 1858 . 283068 1003 Entered , according to Act of Congress , ELEMENTS.
Σελίδα 1
... AND AUTHOR OF A " COURSE OF MATHEMATICS . " FIFTEENTH EDITION . NEW YORK : HARPER & BROTHERS , PUBLISHERS , 329 & 331 PEARL STREET , ( FRANKLIN SQUARE . ) 1858 . 283068 1C03 Entered , according to Act of Congress , ELEMENTS.
... AND AUTHOR OF A " COURSE OF MATHEMATICS . " FIFTEENTH EDITION . NEW YORK : HARPER & BROTHERS , PUBLISHERS , 329 & 331 PEARL STREET , ( FRANKLIN SQUARE . ) 1858 . 283068 1C03 Entered , according to Act of Congress , ELEMENTS.
Σελίδα 11
... square is that which has all its sides equal , and its angles right angles . A rectangle is that which has all its angles right angles , but all its sides are not necessarily equal . A rhombus is that which has all its sides equal , but ...
... square is that which has all its sides equal , and its angles right angles . A rectangle is that which has all its angles right angles , but all its sides are not necessarily equal . A rhombus is that which has all its sides equal , but ...
Σελίδα 13
... square of the line AB is denoted by AB ' ; its cube by AB3 . The sign indicates a root to be extracted ; thus , 2 de- notes the square root of 2 ; ✓AXB denotes the square root of the product of A and B. N.B. - The first six books treat ...
... square of the line AB is denoted by AB ' ; its cube by AB3 . The sign indicates a root to be extracted ; thus , 2 de- notes the square root of 2 ; ✓AXB denotes the square root of the product of A and B. N.B. - The first six books treat ...
Σελίδα 36
... square inch be the unit of measure . Now , if this measuring unit is contained B 15 times in A and 24 times in B , then the ratio of A to B is that of 15 to 24. And although it may be difficult to find this measuring unit , we may still ...
... square inch be the unit of measure . Now , if this measuring unit is contained B 15 times in A and 24 times in B , then the ratio of A to B is that of 15 to 24. And although it may be difficult to find this measuring unit , we may still ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle ACB angle BAC base bisected called chord circle circumference coincide College common cone consequently construct contained convex surface curve described diagonals diameter difference distance divided draw drawn ellipse equal equivalent extremities faces fall figure foci formed four frustum given greater half hence hyperbola included inscribed intersect join less Loomis major axis manner Mathematics mean measured meet multiplied opposite ordinate parallel parallelogram parallelopiped pass perpendicular plane plane MN polygon prism PROBLEM Professor Prop proportional PROPOSITION proved pyramid radii radius ratio reason rectangle regular represent right angles Scholium segment sides similar sphere spherical square straight line tangent THEOREM third triangle ABC vertex vertices VIII whole
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.