Elements of Geometry |
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Αποτελέσματα 6 - 10 από τα 81.
Σελίδα 27
Bisect Fig.53 . these chords by the perpendicular CF , CG , and draw the radii CA
, CD . The right - angled triangles CAF , DCG , have the hypothenuses CA , CD ,
equal ; moreover the side AF , the half of AB , is equal to the side DG , the half of ...
Bisect Fig.53 . these chords by the perpendicular CF , CG , and draw the radii CA
, CD . The right - angled triangles CAF , DCG , have the hypothenuses CA , CD ,
equal ; moreover the side AF , the half of AB , is equal to the side DG , the half of ...
Σελίδα 28
If the two parallels are secants , draw the radius CH perpendicular to the chord
MP , it will also be perpendicular to its parallel NQ ( 64 ) , and the point H will be
at the same time the middle of the arc MHP and of NHQ ( 105 ) ; whence the arc ...
If the two parallels are secants , draw the radius CH perpendicular to the chord
MP , it will also be perpendicular to its parallel NQ ( 64 ) , and the point H will be
at the same time the middle of the arc MHP and of NHQ ( 105 ) ; whence the arc ...
Σελίδα 29
If the distance of two centres is less than the sumn of the radii , and if at the same
time the greater radius is less than the sum of the smaller and the distance of the
centres , the two circles will cut each other . Demonstration . In order that the ...
If the distance of two centres is less than the sumn of the radii , and if at the same
time the greater radius is less than the sum of the smaller and the distance of the
centres , the two circles will cut each other . Demonstration . In order that the ...
Σελίδα 31
AB , AD , intercepted between their sides and described from their vertices , as
centres , with equal radii . Demonstration . Let us suppose the less angle placed
in the greater ; if the proposition enunciated be not true , the angle ACB will be to
...
AB , AD , intercepted between their sides and described from their vertices , as
centres , with equal radii . Demonstration . Let us suppose the less angle placed
in the greater ; if the proposition enunciated be not true , the angle ACB will be to
...
Σελίδα 32
The only thing to be observed in the comparison of angles with each other is ,
that the arcs , which are used to measure them , must be described with equal
radii . This is to be understood in the preceding propositions . 124. Scholium .
The only thing to be observed in the comparison of angles with each other is ,
that the arcs , which are used to measure them , must be described with equal
radii . This is to be understood in the preceding propositions . 124. Scholium .
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent altitude angle ACB applied base called centre chord circ circle circumference circumscribed common comprehended cone consequently considered construction contained Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces figure follows formed four give given greater half hence homologous sides inclination inscribed join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles pole polyedron polygon prism PROBLEM proportional proposition pyramid radii radius ratio reason rectangle regular polygon remain respect right angles Scholium sector segment side BC similar solid angle Solution sphere spherical triangle square straight line suppose surface taken THEOREM third triangle ABC vertex vertices whence
Δημοφιλή αποσπάσματα
Σελίδα ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Σελίδα 9 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 9 - Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts.
Σελίδα ii - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, 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 and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 61 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 166 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Σελίδα 153 - 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 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Σελίδα 164 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry |
| Συγγραφέας | Adrien Marie Legendre |
| Έκδοση | 2 |
| Εκδότης | Hilliard and Metcalf, 1825 |
| Πρωτότυπο από | η Δημόσια Βιβλιοθήκη της Νέας Υόρκης |
| Ψηφιοποιήθηκε στις | 21 Ιουν. 2006 |
| Μέγεθος | 224 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |