Between 1985 and 1997 of Penny coin

Between 1985 and 1997 the cranium by Raphael Maklouf was used, in which the Queen wears the George IV State Diadem. Since 1998 one by Ian Rank-Broadley has been used, again featuring the tiara, with a signature-mark IRB below the portrait. In all cases, the dedication used is ELIZABETH II D.G.REG.F.D. date. Both sides of the coin are bordered by dots.

One penny and two pence coins are officially permitted tender only up to the sum of 20p; these means that it is possible to refuse payment of sums greater than this in one and two pence coins in order to settle a debt.

British One Penny coin

The coin was originally minted from bronze, but since 1992 it has been minted in copper-plated steel. As this is less dense than bronze, post-1992 coins have been to some extent thicker. The British decimal Penny (1p) coin, produced by the Royal Mint, was issued on 15 February 1971, the day the British coinage was decimalised. In practice, it had been existing from banks in bags of £1 for some weeks previously. The coin weighs 3.56 grams and has a diameter of 20.32 millimetres.

The reverse of the coin, planned by Christopher Ironside, is a crowned portcullis with chains (an adaptation of the Badge of Henry VII which is now the Badge of the Palace of Westminster), with the numeral "1" written below the portcullis, and either NEW PENNY (1971–1981) or ONE PENNY (1982–present) above the portcullis.

During the times gone by of the coin, three dissimilar obverses have been used so far. Between 1971 and 1984 the leader of Queen Elizabeth II by Arnold Machin was used, in which the Queen wears the 'Girls of Great Britain and Ireland' Tiara.

The Irish pound coin sketch

The Irish pound coin was introduced on June 20, 1990 using the sketch of a red deer, by the Irish artist Tom Ryan. The 2000 Millennium was used to issue a memorial coin, the design was based on the "Broighter Boat" in the National Museum of Ireland; the coins blueprint was by Alan Ardiff and Garrett Stokes and were issued on November 29, 1999. The coin featured a milled edge - unique in Irish coinage.

The Irish pound coin, which was introduced in 1990, vestiges the largest Irish coin introduced since decimalisation at 3.11 centimetres diameter and was 10 grams weight. The coin was almost impossible to tell apart in dimensions to the old penny coin that circulated before 1971, and was quite similar in diameter to, but thinner, than the half-crown coin.

During the in the early hours circulation of the coin, many payphone and vending machines which had been changed to accept the pound coin also accepted the old penny because of the similar size, the latter coin which was no longer legal tender and had little value to collectors. As a result losses accrued to vending machine operators due to the substitution of the penny coin and additional costs were associated with updating the machines so they would no longer accept the penny

Irish pound coin

The Irish pound coin was introduced on June 20, 1990 using the plan of a red deer, by the Irish artist Tom Ryan. The 2000 Millennium was used to issue a memorial coin, the design was based on the "Broighter Boat" in the National Museum of Ireland; the coins design was by Alan Ardiff and Garrett Stokes and were issued on November 29, 1999. The coin featured a milled edge - unique in Irish coinage.

The "Broighter Boat" issue for 2000.The Irish pound coin, which was introduced in 1990, residue the largest Irish coin introduced since decimalisation at 3.11 centimetres diameter and was 10 grams weight. The coin was nearly identical in dimensions to the old penny coin that circulated before 1971, and was quite similar in diameter to, but thinner, than the half-crown coin.

During the early movement of the coin, many payphone and vending machines which had been changed to accept the pound coin also accepted the old penny because of the similar size, the latter coin which was no longer legal gentle and had little value to collectors. As a result losses accrued to vending machine operators due to the substitution of the penny coin and further costs were associated with updating the machines so they would no longer accept the penny.

British coinage

Obverse and reverse of general coins in current circulation, £2, £1, 50p, 20p, 10p, 5p, 2p and 1pThe British currency was decimalised on February 15, 1971. The basic unit of currency – the Pound was unaffected. Before decimalisation there were 240 (old) pennies in a pound, currently there are 100 new pence. The new coins were noticeable with the wording "New Penny" (singular) or "New Pence" (plural) to distinguish them from the old. The word New was dropped following ten years. The symbol p was also adopted to distinguish the new pennies from the old, which used the symbol d.

The earliest pound coin was introduced in 1983 to replace the Bank of England £1 banknote which was discontinued in 1984 (although the Scottish banks continued producing them for some time afterwards. The last of them, the Royal Bank of Scotland £1 note, remained in production until 2003). A circulating bimetallic £2 coin was also introduced in 1998 (first minted in, and dated, 1997) – there had before been commemorative £2 coins which did not normally circulate. The whole amount of coinage in circulation is roughly three and a quarter billion pounds, of which the £1 and £2 coins account for almost two billion pounds.

Axiomatic geometry

A method of computing certain out-of-the-way distances or heights based on similarity of geometric figures and attributed to Thales presaged more conceptual approach to geometry taken by Euclid in his Elements, one of the most influential books ever written. Euclid introduced certain axioms or postulates, expressing primary or self-evident properties of points, lines, and planes. He proceeded to rigorously deduce other properties by mathematical reasoning. The typical feature of Euclid's approach to geometry was its rigour. In the twentieth century, David Hilbert employed obvious reasoning in his attempt to update Euclid and provide modern foundations of geometry.

What is geometry?

Recorded growth of geometry spans more than two millennia. It is hardly astonishing that perceptions of what constituted geometry evolved throughout the ages. The geometric paradigms offered below should be viewed as 'Pictures at an exhibition' of a sort: they do not weaken the subject of geometry but rather reflect some of its defining themes.
Practical geometry:
There is small doubt that geometry originated as a practical science, concerned with surveying, measurements, areas, and volumes. Among the distinguished accomplishments one finds formulas for lengths, areas and volumes, such as Pythagorean theorem, circumference and area of a circle, area of a triangle, volume of a cylinder, sphere, and a pyramid. Development of astronomy led to appearance of trigonometry and spherical trigonometry, together with the attendant computational techniques.