The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... angle at a point , it may be expressed by a letter placed at that point ; as the angle at e . X. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right ...
... angle at a point , it may be expressed by a letter placed at that point ; as the angle at e . X. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right ...
Σελίδα 3
... equal . Δ Δ Δ Equilateral . Isosceles . Scalene . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A right - angled triangle is that which has a right angle ... angle . Right - angled .. Obtuse - angled . Acute ...
... equal . Δ Δ Δ Equilateral . Isosceles . Scalene . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A right - angled triangle is that which has a right angle ... angle . Right - angled .. Obtuse - angled . Acute ...
Σελίδα 5
... angle abc is therefore equilateral , and it is described upon the given straight line a b . Which was to be done . PROPOSITION II . - PROBLEM . From a given point to draw a straight line equal to a given straight line . LET a be the ...
... angle abc is therefore equilateral , and it is described upon the given straight line a b . Which was to be done . PROPOSITION II . - PROBLEM . From a given point to draw a straight line equal to a given straight line . LET a be the ...
Σελίδα 6
... equal to c the less . Which was to be done . PROPOSITION IV . - THEOREM . If two triangles have two sides of the one ... angle a cb to dfe . LET abc , def be two triangles , which have the two sides a b , ac equal to the two sides de ...
... equal to c the less . Which was to be done . PROPOSITION IV . - THEOREM . If two triangles have two sides of the one ... angle a cb to dfe . LET abc , def be two triangles , which have the two sides a b , ac equal to the two sides de ...
Σελίδα 7
... equal angles , shall also be equal to one another . LET abc be a triangle having the angle abc equal to the angle acb ; the side a b is also equal to the side a c . For , if a b be not equal to a c , one of them is greater than the ...
... equal angles , shall also be equal to one another . LET abc be a triangle having the angle abc equal to the angle acb ; the side a b is also equal to the side a c . For , if a b be not equal to a c , one of them is greater than the ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle