Elements of Geometry and Conic SectionsHarper, 1858 - 234 σελίδες |
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Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 61
... construct a rectangle having the altitude AF ; the par- allelogram ABCD is equivalent to the rec- tangle ABEF ( Prop . I. , Cor . ) . But the rectangle ABEF is measured by AB × AF ( Prop . IV . , Schol . ) ; therefore the area of the ...
... construct a rectangle having the altitude AF ; the par- allelogram ABCD is equivalent to the rec- tangle ABEF ( Prop . I. , Cor . ) . But the rectangle ABEF is measured by AB × AF ( Prop . IV . , Schol . ) ; therefore the area of the ...
Σελίδα 87
... construct the triangle . The two given angles will either be both adjacent to the given side , or one adjacent and the other opposite . In the latter case , find the third angle ( Prob . VII . ) ; and then the two adjacent angles will ...
... construct the triangle . The two given angles will either be both adjacent to the given side , or one adjacent and the other opposite . In the latter case , find the third angle ( Prob . VII . ) ; and then the two adjacent angles will ...
Σελίδα 88
... construct the triangle . Draw an indefinite straight line BC . At the point B make the angle ABC equal to the given angle , and make BA equal to that side which is adjacent to the given angle . Then from A as a center , with a radius ...
... construct the triangle . Draw an indefinite straight line BC . At the point B make the angle ABC equal to the given angle , and make BA equal to that side which is adjacent to the given angle . Then from A as a center , with a radius ...
Σελίδα 94
... construct a rectangle equivalent to a given rectangle . Let AB be the given straight G ¡ ine , and CDFE the given ... constructed on the lines AB , AG will be equivalent to CDFE . For , because AB : CD :: CE : AG 04 GEOMETRY .
... construct a rectangle equivalent to a given rectangle . Let AB be the given straight G ¡ ine , and CDFE the given ... constructed on the lines AB , AG will be equivalent to CDFE . For , because AB : CD :: CE : AG 04 GEOMETRY .
Σελίδα 95
... constructed upon the given line AB . PROBLEM XXIV . To construct a triangle which shall be equivalent to a given polygon . Let ABCDE be the given polygon ; it is required to construct a triangle equiva- ' ent to it . Draw the diagonal ...
... constructed upon the given line AB . PROBLEM XXIV . To construct a triangle which shall be equivalent to a given polygon . Let ABCDE be the given polygon ; it is required to construct a triangle equiva- ' ent to it . Draw the diagonal ...
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.