Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 21.
Σελίδα
... lefs than B , or AB lefs than BC . Signifies , that the Quantities between which it is , are added or to be added , as A + B = C + D , implies that A added to B , is equal to C added to D ; and ABCDEFGHIK , fignifies that AB added to CD ...
... lefs than B , or AB lefs than BC . Signifies , that the Quantities between which it is , are added or to be added , as A + B = C + D , implies that A added to B , is equal to C added to D ; and ABCDEFGHIK , fignifies that AB added to CD ...
Σελίδα 3
... lefs , the nearer the Lines that make it are to one ano- B A A ther . Take two Lines AB , BC , touching one another in B : then if you conceive these two Lines to open like the Legs of a Pair of Com- paffes , fo as always to remain ...
... lefs , the nearer the Lines that make it are to one ano- B A A ther . Take two Lines AB , BC , touching one another in B : then if you conceive these two Lines to open like the Legs of a Pair of Com- paffes , fo as always to remain ...
Σελίδα 11
... lefs than two right Angles : thofe two right Lines produced , fhall meet on that Side , where the Angles are lefs than two right Angles . 14. Two right Lines do not contain a Space . 15. If to equal things you add unequal things , the ...
... lefs than two right Angles : thofe two right Lines produced , fhall meet on that Side , where the Angles are lefs than two right Angles . 14. Two right Lines do not contain a Space . 15. If to equal things you add unequal things , the ...
Σελίδα 13
... lefs than the Line AB . PROP . II . From a given Point A , to draw a right Line AG equal to a right Line given ( BC ) . H B D F C E a с b bi C I. I. d 2 poft . About the Center C , with the Distance CB , defcribe the Circle CBE . Join ...
... lefs than the Line AB . PROP . II . From a given Point A , to draw a right Line AG equal to a right Line given ( BC ) . H B D F C E a с b bi C I. I. d 2 poft . About the Center C , with the Distance CB , defcribe the Circle CBE . Join ...
Σελίδα 22
... lefs than two right Angles . D Continue out the Side BC . Now because the Ang . m ACD + ACB two right Angles , and the Ang . " ACDA , therefore A + ACB two right Angles . In like manner the Ang . B + ACB is two BACB right Angles ...
... lefs than two right Angles . D Continue out the Side BC . Now because the Ang . m ACD + ACB two right Angles , and the Ang . " ACDA , therefore A + ACB two right Angles . In like manner the Ang . B + ACB is two BACB right Angles ...
Συχνά εμφανιζόμενοι όροι και φράσεις
9 ax ABCD abfurd alfo alſo Altitude Angle ABC Bafe BC Baſe becauſe bifect Center Circ Cone confequently conft COROL Cylinder defcribed demonftrated Diameter draw the right drawn EFGH equal Angles equiangular equilateral Equimultiples EUCLID's ELEMENTS faid fame Multiple fecond fhall fimilar fince firft folid fome fore four right ftanding given right Line gles Gnomon greater Hence infcribe leffer lefs likewife Line CD Magnitudes manifeft manner Number oppofite Paral parallel Parallelepip Parallelepipedons Parallelogram perpend perpendicular poffible Point Polyhedron Prifms Probl PROP Propofition Pyramids Ratio Rectangle right Angles right Line AB right Line AC right-lined Figure SCHOL SCHOLIU Segment ſhall Side BC Sphere Square thefe thofe thro tiple Triangle ABC Whence whofe whole
Δημοφιλή αποσπάσματα
Σελίδα 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Σελίδα 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Σελίδα 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Σελίδα 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.