ArticleslgStudy

mathematics

Mizrah

Mizrah is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Mizrah rather than just read about it. In short: Mizrah (also spelled Mizrach, Mizrakh) (Hebrew: מִזְרָח, romanized: mīzrāḥ) is the "east" and the direction that Jews in the Diaspora west of Israel face during prayer. Practically speaking, Jews face the city of Jerusalem when praying, and those north, east, or south of Jerusalem face south, west, and north respectively.

Mizrah — main illustration
Mizrah — illustration

Key takeaways

  • Mizrah belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Mizrah to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Mizrah from memory before moving on to harder problems.

Reference excerpt

Mizrah (also spelled Mizrach, Mizrakh) (Hebrew: מִזְרָח, romanized: mīzrāḥ) is the "east" and the direction that Jews in the Diaspora west of Israel face during prayer. Practically speaking, Jews face the city of Jerusalem when praying, and those north, east, or south of Jerusalem face south, west, and north respectively. In European and Mediterranean communities west of the Holy Land, mizrah also refers to the wall of the synagogue that faces east, where seats are reserved for the rabbi and other dignitaries. In addition, mizrah refers to an ornamental wall plaque used to indicate the direction of prayer in Jewish homes.

Jewish law

The Talmud states that a Jew praying in the Diaspora shall direct themself toward the Land of Israel; in Israel, toward Jerusalem; in Jerusalem, toward the Temple; and in the Temple, toward the Holy of Holies. The same rule is found in the Mishnah but prescribed for individual prayers rather than congregational ones (i.e., in a synagogue). Thus, if one is east of the Temple, one should turn westward; if in the west, eastward; in the south, northward; and if in the north, southward. The custom is based on the prayer of Solomon (I Kings 8:33, 44, 48; II Chronicles 6:34). Another passage supporting this rule is found in the Book of Daniel, which relates that in the upper chamber of the house in which Daniel prayed three times daily, the windows were opened toward Jerusalem (Daniel 9:3, 6:10). The Tosefta demands that the entrance to the synagogue should be on the eastern side, with the congregation facing west during prayer. The requirement is probably based on the orientation of the Tent of Meeting, which had its gates on the eastern side (2:2–3; 3:38, or Solomon's Temple—the portals of which were to the east (Ezekiel 43:1–4). Maimonides attempted to reconcile the Tosefta's provision with the requirement to pray toward Jerusalem by stating that the doors of the synagogue should face east and the Ark should be placed "in the direction in which people pray in that city" (i.e., toward Jerusalem). The Shulkhan Arukh records the same rule but also recommends that one turn toward the southeast instead of the east to avoid the semblance of worshiping the sun. If one cannot ascertain the cardinal points, one should direct the heart toward Jerusalem.

Mizrah in synagogue architecture Excavations of ancient synagogues show that their design generally conformed with the Talmudic and traditional rule on prayer direction. The synagogues excavated west of Eretz Israel in Miletus, Priene, and Aegina all show an eastern orientation. Josephus, in his work Against Apion, recorded that the same was the case for Egyptian synagogues. Synagogues north of Jerusalem and west of the Jordan River, as in Bet Alfa, Capernaum, Hammath, and Khorazin, all face southward, whereas houses of worship east of the Jordan all face west. In the south, the synagogue excavated at Masada faces northwest to Jerusalem. The Tosefta's regulation that the entrance to the synagogue should be on the eastern side, while the orientation of the building should be toward the west was followed only in the synagogue in Irbid. Initially, the mizrah wall in synagogues was on the side of the entrance. However, the remains of the Dura-Europos synagogue on the Euphrates reveal that by the 3rd century C.E. the doors were on the eastern side and the opposite wall, in which a special niche had been made to place the scrolls during worship, faced Jerusalem. In Eretz Israel, the wall facing the Temple site was changed from the side of the entrance to the side of the Ark in the 5th or 6th century. This change is found in synagogues at Naaran, near Jericho, and Beit Alfa. Worshipers came through the portals and immediately faced both the scrolls and Jerusalem.

Mizrah in Jewish homes

It is customary in traditional Jewish homes to mark the wall in the direction of mizrah to facilitate proper prayer. For this purpose, people use artistic wall plaques inscribed with the word mizrah and scriptural passages like "From the rising (mi-mizrah) of the sun unto the going down thereof, the Lord's name is to be praised" (Psalm 113:3, Septuagint Ps. 112:3), kabbalistic inscriptions, or pictures of holy places. These plaques are generally placed in rooms in which people pray, such as the living room or bedrooms. There are also papercuts described as "mizrah-shiviti", because they served a dual purpose: as mizrah (decoration for the eastern wall, marking the direction of prayer), and as shiviti, meaning "I have set [before me]" (Psalm 16:8, LXX Ps. 15:8) and intended to inspire worshippers to adopt a proper attitude toward prayer.

Outside Judaism Like the Jews, Muslims used Jerusalem as their qiblah (Arabic: قِـبْـلَـة, direction of prayer), before it was permanently changed in the second Hijri year (624 CE) to Mecca.

See also

Direction of prayer Ad orientem, the Christian direction of prayer; alternative for Catholic priests: versus populum Qibla, the Muslim direction of prayer Qiblih, the Baháʼí direction of prayer Orientation of churches Vytynanky (Wycinanki), Slavic papercuts

References

Further reading Elbogen, Ismar (1993). Jewish Liturgy: A Comprehensive History. Jewish Publication Society. ISBN 978-0-8276-0445-2 "Mizrah" (1997). Encyclopedia Judaica (CD-ROM Edition Version 1.0). Ed. Cecil Roth. Keter Publishing House. ISBN 978-965-07-0665-4

Illustrations

Mizrah: Mizrah papercut, Eastern Europe, 19th century (from Pidkamin, Ukraine)
Mizrah papercut, Eastern Europe, 19th century (from Pidkamin, Ukraine)
Mizrah illustration
Mizrah: Framed mizrach with the word מזרח on the wall (Jan Voerman, De treurdagen 'the sorrowful days', c. 1884)
Framed mizrach with the word מזרח on the wall (Jan Voerman, De treurdagen 'the sorrowful days', c. 1884)
Mizrah: Mizrah-shiviti papercut
Mizrah-shiviti papercut

Worked examples

Example 1 — a first encounter with Mizrah

Start with the simplest possible case. Write down what Mizrah claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Mizrah before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Mizrah ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Mizrah

In research
Mizrah appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Mizrah in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Mizrah is common in secondary-school and first-year university syllabi. It links to neighbouring topics Hebrew words and phrases in Jewish prayers and blessings, Jewish prayer and ritual texts, Jewish services, so understanding it makes those chapters shorter.
In everyday life
Look for Mizrah outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Mizrah” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Mizrah in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mizrah means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Mizrah out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mizrah in simple terms?

Mizrah (also spelled Mizrach, Mizrakh) (Hebrew: מִזְרָח, romanized: mīzrāḥ) is the "east" and the direction that Jews in the Diaspora west of Israel face during prayer. Practically speaking, Jews face the city of Jerusalem when praying, and those north, east, or south of Jerusalem face south, west…

Why does Mizrah matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Mizrah?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Mizrah.

Tags

  • Hebrew words and phrases in Jewish prayers and blessings
  • Jewish prayer and ritual texts
  • Jewish services
  • Orientation (geometry)
  • Synagogue architecture
  • Tabernacle and Temples in Jerusalem

Keep exploring