The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 Seiten |
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Seite 2
... angles are at one point B , any one of them is expressed by three letters , of which the letter which is at the ... right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that ...
... angles are at one point B , any one of them is expressed by three letters , of which the letter which is at the ... right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that ...
Seite 4
... right - angled triangle is that which has a right angle : [ The side opposite to the right angle in a right - angled ... angles . Of four - sided figures , 30. A square is that which has all its sides equal , and all its angles right ...
... right - angled triangle is that which has a right angle : [ The side opposite to the right angle in a right - angled ... angles . Of four - sided figures , 30. A square is that which has all its sides equal , and all its angles right ...
Seite 6
... right angles are equal to one another . 12. If a straight line meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines , being continually ...
... right angles are equal to one another . 12. If a straight line meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines , being continually ...
Seite 16
... right angles to AB . A F E B Take any point D in AC , and make CE equal to CD . On DE describe the equilateral triangle DFE , and join CF. [ I. 3 [ I. 1 . The straight line CF drawn from the given point C shall be at right angles to the ...
... right angles to AB . A F E B Take any point D in AC , and make CE equal to CD . On DE describe the equilateral triangle DFE , and join CF. [ I. 3 [ I. 1 . The straight line CF drawn from the given point C shall be at right angles to the ...
Seite 18
... angle CBA is equal to the angle ABD , each of them is a right angle . [ Definition 10 . But if not , from the point B draw BE at right angles to CD ; [ I. 11 . therefore the angles CBE , EBD are two right angles . [ Def.10 . Now the angle ...
... angle CBA is equal to the angle ABD , each of them is a right angle . [ Definition 10 . But if not , from the point B draw BE at right angles to CD ; [ I. 11 . therefore the angles CBE , EBD are two right angles . [ Def.10 . Now the angle ...
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Häufige Begriffe und Wortgruppen
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC 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