Deduction in Geometry
Many results in geometry can be shown or demonstrated by construction and measurement. For example, we can draw a triangle and measure the angles to show or demonstrate that the angle sum of a triangle is 180
°
. However this does not prove that the angle sum of any triangle is 180
°
.
To prove this and other geometrical results we use a process called deduction , in which a specific result is proved by reasoning logically from a general principle or known fact.
When setting out proofs, reasons must be given for each statement or each step of the argument.
The reasons are usually in brackets after the statements and should state the names of the triangles, angles, or lines referred to.
Important results which have been proved and are then used as a rule or general principle are called theorems
Divine energy is the result of the Edicts of Guthix, which were believed to be a physical barrier around the world which prevented the Gods from entering Gielinor. Upon Guthix's death however this barrier shattered and fell down to the surface. It is believed that the power of the shield is held within the divine energy. Divine energy and memories combined together and formed wisps.
Guthix's death also caused the various craters to open around Gielinor. It is highly speculated that the death of Guthix has damaged the world and that damage has manifested itself as the craters. It is probable that Guthix's death has rendered a great imbalance within Gielinor, and so the life force of the world (Anima Mundi) is now "bleeding" due to this imbalance. The wisps gather around these craters as they are attracted to this life force, because this is one of the powers that Guthix used to become so powerful. This same force, now saturates the wisps as his memories.
Those who study Divination west of the Lumbridge Crater, as well as many adventurers, are trying to return the memories to the various craters as it seems that giving Guthix's life force back to the
°
. However this does not prove that the angle sum of any triangle is 180
°
.
To prove this and other geometrical results we use a process called deduction , in which a specific result is proved by reasoning logically from a general principle or known fact.
When setting out proofs, reasons must be given for each statement or each step of the argument.
The reasons are usually in brackets after the statements and should state the names of the triangles, angles, or lines referred to.
Important results which have been proved and are then used as a rule or general principle are called theorems
Divine energy is the result of the Edicts of Guthix, which were believed to be a physical barrier around the world which prevented the Gods from entering Gielinor. Upon Guthix's death however this barrier shattered and fell down to the surface. It is believed that the power of the shield is held within the divine energy. Divine energy and memories combined together and formed wisps.
Guthix's death also caused the various craters to open around Gielinor. It is highly speculated that the death of Guthix has damaged the world and that damage has manifested itself as the craters. It is probable that Guthix's death has rendered a great imbalance within Gielinor, and so the life force of the world (Anima Mundi) is now "bleeding" due to this imbalance. The wisps gather around these craters as they are attracted to this life force, because this is one of the powers that Guthix used to become so powerful. This same force, now saturates the wisps as his memories.
Those who study Divination west of the Lumbridge Crater, as well as many adventurers, are trying to return the memories to the various craters as it seems that giving Guthix's life force back to the