The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth BooksMacmillan, 1886 - 400 Seiten |
Im Buch
Ergebnisse 1-5 von 84
Seite 9
... third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely those to which the equal sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC equal ...
... third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely those to which the equal sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC equal ...
Seite 23
... third side . Let ABC be a triangle : any two sides of it are together greater than the third side ; namely , BA , AC greater than BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to D , making AD equal to AC ...
... third side . Let ABC be a triangle : any two sides of it are together greater than the third side ; namely , BA , AC greater than BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to D , making AD equal to AC ...
Seite 24
... third side , the two sides BA , AE of the triangle ABE are greater than the side BE . To each of these add EC . Therefore BA , AC are greater than BE , EC . [ I. 20 . Again ; the two sides CE , ED of the triangle CED are greater than ...
... third side , the two sides BA , AE of the triangle ABE are greater than the side BE . To each of these add EC . Therefore BA , AC are greater than BE , EC . [ I. 20 . Again ; the two sides CE , ED of the triangle CED are greater than ...
Seite 25
... third . Let A , B , C be the three given straight lines , of which any two whatever are greater than the third ; namely , A and B greater than Ỡ ; A and C greater than B ; and B and C greater than A : it is required to make a triangle ...
... third . Let A , B , C be the three given straight lines , of which any two whatever are greater than the third ; namely , A and B greater than Ỡ ; A and C greater than B ; and B and C greater than A : it is required to make a triangle ...
Seite 28
... third angle of the one equal to the third angle of the other . Let ABC , DEF be two triangles , which have the angles ABC , BCA equal to the angles DEF , EFD , each to each , namely , ABC to DEF , and 28 EUCLID'S ELEMENTS .
... third angle of the one equal to the third angle of the other . Let ABC , DEF be two triangles , which have the angles ABC , BCA equal to the angles DEF , EFD , each to each , namely , ABC to DEF , and 28 EUCLID'S ELEMENTS .
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC BC is equal bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore