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Thus in circle O of Fig. 6-12, if OE > OF, OE ' AB, and OF ' CD, then AB > CD. (Principles 12 and 13 are converses of each other.)

Notice how address values are output: 0x3 f f f dl4 is the hexadecimal numeral 3 f f f d14. The prefix O X is the standard notation used to indicate that the numeral is hexadecimal. Although there is no need to do so, one can compute the corresponding decimal value, remembering that a' is hex for 10, b' is 11, c is 12, d' is 13, e' is 14, and f' is 15:

6.1 Matching test of circle vocabulary Match each part of Fig. 6-13 on the left with one of the names on the right: (a) OE (b) FG 1. Radius 2. Central angle

= 3~16~ + 15~16~ + 15~16~ + 15~16~ + 13~16~ + 1~16~ + 4~16~ = 67,108,116

Fig. 6-13

So in this run, x is actually stored in the 4 bytes numbered 67,108,116-67,108,119. These are virtual addresses on a UNIX workstation with 20 megabytes of memory. On a DOS PC with 4 megabytes of memory, x, p, and q were stored at addresses Ox23e6, Ox23dc, and Ox23be.

(c) FH (d) CD (e) IJ (f) EF (g) FGH (h) FEG (i) j EOF (j) Circle O about EFGH (k) Circle O in ABCD (l) Quadrilateral EFGH (m) Quadrilateral ABCD

If p is a pointer, then the call cou t -C < *p will always print the value of the object to which p points, and the call cou t CC p will usually print the value of the address that is stored in p. The important exception to this second rule is when p is declared to have type char*.

(a) 1 (b) 6 (c) 7 (d) 9 (e) 8 (f) 4 (g) 3 (h) 5

In C++, a string is an array of characters with the following exceptional features:

Geography at the top of the list, and then indenting all of the remaining menu items by one level. The modified list will

An extra component is appended to the end of the array, and its value is set to the NUL character I\ I. This means that the total number of characters in the array is always 1 more than the string length.

3. Semicircle 4. Minor arc 5. Major arc 6. Chord 7. Diameter 8. Secant 9. Tangent 10. Inscribed polygon 11. Circumscribed polygon 12. Inscribed circle 13. Circumscribed circle

The string may be initialized with a string literal, like this:

(i) 2 (j) 13

char str[] = "Bjarne";

(k) 12 (l) 10

Notethatthisarrayhas7elements:

(m) 11

'B', 'jl,

la',

6.2 Applying principles 4 and 5 In Fig. 6-14, (a) what kind of triangle is OCD; (b) what kind of quadrilateral is ABCD (c) In Fig. 6-15 if circle O circle Q, what kind of quadrilateral is OAQB

appear as follows:

IrI,

Radii or diameters of the same or equal circles have equal lengths. (a) Since OC > OD, ^ OCD is isosceles.

InI,

Fig. 6-14

'\O'.

Fig. 6-15

The entire string may be output as a single object, like this:

(b) Since diagonals AC and BD are equal in length and bisect each other, ABCD is a rectangle. (c) Since the circles are equal, OA > AQ > QB > BO and OAQB is a rhombus.

tout cc str;

character I\

PROOF:

CHAP. 5]

The entire string may be input as a single object, like this:

Statements 1. AB > DE, BC > EF 2. AB > DE, BC > EF 3. ABC > DEF 4. AC > DF 5. ^ I > ^ II 6. j B > j E 1. Given

tin >> buffer;

2. In a circle, > chords have > arcs. 3. If equals are added to equals, the sums are equal. Definition of > arcs. 4. In a circle, > arcs have > chords. 5. SSS