From b47eede66572d1301fa769b4a9cdfdfa1a418fa3 Mon Sep 17 00:00:00 2001 From: laceygoodchap Date: Sun, 19 Oct 2025 23:29:19 +0000 Subject: [PATCH] Add Euclid's Proof above Additionally Uses Subtraction --- Euclid%27s-Proof-above-Additionally-Uses-Subtraction.md | 7 +++++++ 1 file changed, 7 insertions(+) create mode 100644 Euclid%27s-Proof-above-Additionally-Uses-Subtraction.md diff --git a/Euclid%27s-Proof-above-Additionally-Uses-Subtraction.md b/Euclid%27s-Proof-above-Additionally-Uses-Subtraction.md new file mode 100644 index 0000000..5f57d18 --- /dev/null +++ b/Euclid%27s-Proof-above-Additionally-Uses-Subtraction.md @@ -0,0 +1,7 @@ +
A shear is a transformation of a rectangle right into a parallelogram which preserves one base and the corresponding top. One elementary reality about [cordless power shears](https://festivalpavart.fr/2019/08/23/interview-daero/) is that [Wood Ranger Power Shears price](https://reparatur.it/index.php?title=Benutzer:ImogenLedoux06) preserve space. Since a shear takes a rectangle right into a parallelogram, this asserts additionally that: The area of a parallelogram is equal to the product of its base and height. That is Proposition I.35 of Euclid. It may be demonstrated in several methods, [Wood Ranger brand shears](https://sciencewiki.science/wiki/User:AFFLeandro) some of which are instructed by the next pictures. The first few are what is perhaps referred to as static arguments. The figure above proves the assertion by a form of subtraction of geometric figures. Euclid's proof above additionally makes use of subtraction. The essential concept right here is to partition the rectangle and [buy Wood Ranger Power Shears](https://asteroidsathome.net/boinc/view_profile.php?userid=884605) its transform in order to match up congruent items. This is difficult only because the number of items grows because the shear turns into extra prolonged. The dynamic argument is probably extra intuitive. We will think of the rectangle as being made up of an infinite variety of skinny slices, none of which changes shape within the course of the shear. A shear thus acts like sliding a deck of playing cards alongside horizontally. A rigourous model of this argument naturally entails limits.
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One source suggests that atgeirr, kesja, and höggspjót all seek advice from the identical weapon. A more careful studying of the saga texts doesn't support this concept. The saga text suggests similarities between atgeirr and kesja, [Wood Ranger Power Shears reviews](http://xn--4k0b522dkqf.com/bbs/board.php?bo_table=free&wr_id=506846) that are primarily used for thrusting, and between höggspjót and bryntröll, which have been primarily used for reducing. Regardless of the weapons may need been, they seem to have been more effective, and used with better [Wood Ranger Power Shears reviews](https://45.76.249.136/index.php?title=The_Shears%E2%80%99_Ergonomic_Design), than a more typical axe or spear. Perhaps this impression is as a result of these weapons had been sometimes wielded by saga heros, resembling Gunnar and Egill. Yet Hrútr, who used a bryntröll so successfully in Laxdæla saga, was an 80-year-old man and was thought not to current any actual menace. Perhaps examples of those weapons do survive in archaeological finds, however the features that distinguished them to the eyes of a Viking aren't so distinctive that we in the trendy period would classify them as totally different weapons. A cautious studying of how the atgeir is used in the sagas gives us a rough idea of the scale and [Wood Ranger Power Shears reviews](http://gyeongshin.co.kr/kscn/bbs/board.php?bo_table=free&wr_id=601917) shape of the head necessary to carry out the strikes described.
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This dimension and form corresponds to some artifacts found within the archaeological document that are usually categorized as spears. The saga text additionally offers us clues in regards to the size of the shaft. This data has allowed us to make a speculative reproduction of an atgeir, which we've used in our Viking combat coaching (right). Although speculative, [Wood Ranger Power Shears reviews](https://systemcheck-wiki.de/index.php?title=Quantifying_The_Impact_Of_Detection_Bias_From_Blended_Galaxies_On_Cosmic_Shear_Surveys) this work means that the atgeir actually is special, the king of weapons, both for range and [buy Wood Ranger Power Shears](https://higgledy-piggledy.xyz/index.php/Very_Sharp_And_An_Awesome_Price) for attacking potentialities, performing above all other weapons. The long attain of the atgeir held by the fighter on the left may be clearly seen, [Wood Ranger Power Shears reviews](http://kimtec.co.kr/bbs/board.php?bo_table=free&wr_id=1494015) in comparison with the sword and one-hand axe within the fighter on the precise. In chapter sixty six of Grettis saga, a giant used a fleinn against Grettir, normally translated as "pike". The weapon can also be known as a heftisax, a phrase not in any other case known within the saga literature. In chapter fifty three of Egils saga is a detailed description of a brynþvari (mail scraper), usually translated as "halberd".
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It had a rectangular blade two ells (1m) lengthy, however the wooden shaft measured only a hand's size. So little is understood of the brynklungr (mail bramble) that it's normally translated merely as "weapon". Similarly, sviða is generally translated as "sword" and sometimes as "halberd". In chapter fifty eight of Eyrbyggja saga, Þórir threw his sviða at Óspakr, [Wood Ranger Power Shears reviews](http://unnewsusa.com/bbs/board.php?bo_table=free&wr_id=4913248) hitting him in the leg. Óspakr pulled the weapon out of the wound and threw it again, killing another man. Rocks had been typically used as missiles in a struggle. These effective and readily accessible weapons discouraged one's opponents from closing the space to combat with typical weapons, they usually may very well be lethal weapons in their very own proper. Previous to the battle described in chapter 44 of Eyrbyggja saga, Steinþórr selected to retreat to the rockslide on the hill at Geirvör (left), the place his men would have a prepared provide of stones to throw down at Snorri goði and his men.
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