Elements of Geometry and Trigonometry: With NotesJ. Ryan, 1828 - 316 σελίδες |
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Σελίδα 26
... sector is the part of the circle included between an arc DE , and the two radii CD , CE , brawn to the extremities of the arc . 95. A straight line is said to be inscrib- ed in a circle , when its extremities are in the circumference ...
... sector is the part of the circle included between an arc DE , and the two radii CD , CE , brawn to the extremities of the arc . 95. A straight line is said to be inscrib- ed in a circle , when its extremities are in the circumference ...
Σελίδα 38
... sectors with arcs ; for sectors are not only equal when their angles are so , but in all respects proportional to their angles ; hence two sectors ACB , ACD , taken in the same circle , or in equal circles , are to each other as the ...
... sectors with arcs ; for sectors are not only equal when their angles are so , but in all respects proportional to their angles ; hence two sectors ACB , ACD , taken in the same circle , or in equal circles , are to each other as the ...
Σελίδα 51
... sectors , or seg- ments , are those which correspond to equal angles at the cen- tre . Thus , if the angles A and O be equal , the arc BC will be similar to the arc DE , the sector ABC to the sector ODE , & c . A. Δ.Δ. 164. The altitude ...
... sectors , or seg- ments , are those which correspond to equal angles at the cen- tre . Thus , if the angles A and O be equal , the arc BC will be similar to the arc DE , the sector ABC to the sector ODE , & c . A. Δ.Δ. 164. The altitude ...
Σελίδα 103
... sectors FCG , ICH be given , a portion of a regular polygon may in like manner , be inscribed in the greater , or circumscribed about the less , so that the perimeters of the two polygons shall be included be- tween the two ...
... sectors FCG , ICH be given , a portion of a regular polygon may in like manner , be inscribed in the greater , or circumscribed about the less , so that the perimeters of the two polygons shall be included be- tween the two ...
Σελίδα 105
... sectors ACB , DOE are to each other of their radii . as the squares C For , since the arcs are similar , the angle C ( 163. ) is equal to the angle O ; but C is to four right angles ( 122. ) , as the arc AB is to the whole circumference ...
... sectors ACB , DOE are to each other of their radii . as the squares C For , since the arcs are similar , the angle C ( 163. ) is equal to the angle O ; but C is to four right angles ( 122. ) , as the arc AB is to the whole circumference ...
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Elements Of Geometry And Trigonometry From The Works Of A.m. Legendre Adrien Marie Legendre Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle ACB angle BAD base bisect centre chord circ circle circular sector circumference circumscribed common cone construction continued fraction convex surface cosines cylinder diameter dicular draw drawn equal angles equation equivalent figure formed formulas four right angles frustum given angle given line gles greater homologous sides hypotenuse inclination inscribed intersection isosceles less Let ABC let fall likewise measure multiplied number of sides oblique lines opposite parallel parallelepipedon parallelogram pendicular perimeter perpen perpendicular plane MN polyedron prism proposition quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle SABC Scholium sector segment similar sine solid angle solid described sphere spherical polygons spherical triangle square straight line suppose tang tangent THEOREM third side three angles trian triangle ABC triangular prism triangular pyramids vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 257 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα iii - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
Σελίδα 187 - For, if the arc AD be drawn from the vertex A to the middle point D of the base, the two triangles ABD, ACD, will have all the sides of the one respectively equal to the corresponding sides of the other...
Σελίδα 3 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Σελίδα 27 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 11 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 73 - If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar. In the two polygons ABCDE and A'B'C'D'E', let the triangles AEB, EEC, CED be similar, respectively, to the triangles A'E'B', B'E'C', C'E'D'; and similarly placed.
Σελίδα 157 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Σελίδα 107 - ... of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ; EF, parallel to AB, a side of the circumscribed polygon ; C the centre of the circle. If the chord AM and the tangents AP, BQ, be drawn, AM...
Σελίδα 59 - Two triangles of the same altitude are to each other as their bases, and two triangles of the same base are to each other as their altitudes. And triangles generally, are to each other, as the products of their bases and altitudes.