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 80
Seite 4
... sides equal : 26 . A scalene triangle is that which has three unequal sides : 27. A right - angled triangle is that which has a right angle : [ The side opposite to the right angle in a right - angled triangle is fre- quently called the ...
... sides equal : 26 . A scalene triangle is that which has three unequal sides : 27. A right - angled triangle is that which has a right angle : [ The side opposite to the right angle in a right - angled triangle is fre- quently called the ...
Seite 5
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles : را 34. All other four - sided figures besides these are called trapeziums . 35. Parallel straight lines are such as are in the same ...
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles : را 34. All other four - sided figures besides these are called trapeziums . 35. Parallel straight lines are such as are in the same ...
Seite 9
... sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF : the base BC shall be ...
... sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF : the base BC shall be ...
Seite 11
... sides are opposite , G namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4 . And because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hypothesis . the remainder BF is ...
... sides are opposite , G namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4 . And because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hypothesis . the remainder BF is ...
Seite 19
... opposite sides of it , make the adjacent angles toge- ther equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD ...
... opposite sides of it , make the adjacent angles toge- ther equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD ...
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