عمودي على

ʿamūdī ʿalā

perpendicular to

Difficulty Level

Description

عمودي على (ʿamūdī ʿalā) is a prepositional phrase meaning 'perpendicular to' or 'at right angles to,' used in geometry, mathematics, and technical contexts to describe when two lines, planes, or surfaces meet at a 90-degree angle. This phrase combines the adjective عمودي (perpendicular/vertical) with the preposition على (to/on), and is essential terminology for Arabic speakers in STEM fields and technical discussions.

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Example Sentences

الخط الأفقي عمودي على الخط العمودي في الرسم البياني.

Al-khaṭṭ al-ufuqī ʿamūdī ʿalā al-khaṭṭ al-ʿamūdī fī al-rasmī al-bayānī.

The horizontal line is perpendicular to the vertical line in the graph.

يجب أن يكون السقف عمودي على الجدران لضمان الاستقرار.

Yajib an yakūn al-saqf ʿamūdī ʿalā al-judur li-dhamān al-istiqrār.

The ceiling must be perpendicular to the walls to ensure stability.

في الهندسة، نحتاج إلى رسم خط عمودي على المستقيم المعطى.

Fī al-handasah, naḥtāj ilā rasm khaṭṭ ʿamūdī ʿalā al-mustaqīm al-muʿṭā.

In geometry, we need to draw a line perpendicular to the given line.

المتجهات عمودية على بعضها البعض في هذا النظام الإحداثي.

Al-mutajihāt ʿamūdiyyah ʿalā baʿḍihā al-baʿḍ fī hādhā al-niẓām al-iḥdāthī.

The vectors are perpendicular to each other in this coordinate system.

الدرج يجب أن يكون عمودي على الأرضية بزاوية معينة.

Al-daraj yajib an yakūn ʿamūdī ʿalā al-arḍiyyah bi-zāwiyah muʿayyanah.

The stairs must be perpendicular to the floor at a specific angle.

Synonyms

متعامد على(perpendicular to (orthogonal to))بزاوية قائمة على(at a right angle to)في زاوية 90 درجة مع(at a 90-degree angle with)

Antonyms

موازي لـ(parallel to)متطابق مع(coincident with)

Cultural Notes

The term عمودي على is primarily used in academic, scientific, and technical contexts in Arabic-speaking countries, particularly in mathematics, engineering, and architecture curricula. Understanding this phrase is crucial for students pursuing STEM disciplines across the Arab world, as geometry and technical drawing are fundamental to many engineering and construction professions in the region. The term reflects the Arabic language's precise mathematical vocabulary developed through centuries of scholarly tradition.

Usage Tips

Remember that عمودي على is always used with the preposition على (on/to), making it a fixed prepositional phrase rather than a standalone adjective. When describing multiple perpendicular elements, use the plural form متعامدة على (mutaʿammadah ʿalā) for feminine or plural subjects. This phrase is most commonly used in mathematical or technical explanations, so familiarize yourself with related geometry terminology to use it effectively.

## Understanding عمودي على (ʿamūdī ʿalā) The phrase عمودي على is a fundamental mathematical and geometric term in Arabic that translates to 'perpendicular to' in English. This expression is essential for anyone studying mathematics, engineering, architecture, or technical subjects in Arabic-speaking contexts. ## Meaning and Definition عمودي على literally breaks down as: - عمودي (ʿamūdī): perpendicular, vertical, or orthogonal - على (ʿalā): to, on, at Together, this prepositional phrase describes the geometric relationship between two lines, planes, or surfaces that meet at exactly 90 degrees (a right angle). This is one of the most important relationships in geometry and is used extensively in technical and academic discourse. ## Usage in Mathematics In mathematical contexts, عمودي على is used to describe perpendicularity in various geometric configurations. When you say a line is عمودي على another line, you are stating that these two lines intersect at a right angle. For example: - في الهندسة: 'In geometry' - when describing perpendicular lines - في الفضاء ثلاثي الأبعاد: 'In three-dimensional space' - when discussing perpendicular planes - في الرياضيات: 'In mathematics' - as a general geometric principle ## Common Applications ### Geometry and Architecture In architecture and construction, عمودي على is crucial for ensuring structural integrity. Walls must be عمودي على the foundation, ceilings must be عمودي على the walls, and staircases must maintain proper angles عمودي على the floor. ### Vector Mathematics When working with vectors, you might say two vectors are عمودي على one another (متعامدة على بعضها) if their dot product equals zero. This is fundamental in physics and engineering calculations. ### Engineering and Technical Fields Engineers use عمودي على extensively when describing components, measurements, and structural relationships in technical drawings and specifications. ## Grammar and Conjugation The phrase عمودي على changes based on the gender and number of the subject: - Masculine singular: عمودي على (ʿamūdī ʿalā) - Feminine singular: عمودية على (ʿamūdiyyah ʿalā) - Masculine plural: عموديين على (ʿamūdiyyīn ʿalā) - Feminine plural: عموديات على (ʿamūdiyyāt ʿalā) ## Related Mathematical Terminology Understanding عمودي على requires familiarity with related terms: - زاوية قائمة (zāwiyah qā'imah): right angle - متعامد (mutaʿamad): orthogonal - موازي (muwāzī): parallel (the opposite relationship) - مستقيم (mustaqīm): straight line - مستوى (mustawā): plane ## Practical Examples in Context When explaining geometry problems in Arabic, you would use عمودي على to: 1. Describe the relationship between coordinate axes (المحاور الإحداثية عمودية على بعضها) 2. Specify construction requirements (الجدران عمودية على الأساس) 3. Explain vector relationships (المتجهات عمودية على بعضها البعض) 4. Describe engineering specifications ## Learning Tips for English Speakers English speakers learning Arabic should note that عمودي على is always used as a fixed prepositional phrase. Unlike some English geometric descriptions, you cannot drop the على and just say 'عمودي' when indicating the perpendicular relationship between two objects. The preposition على is essential and cannot be omitted. Additionally, remember that the adjective عمودي must agree in gender and number with the subject noun, even though على remains unchanged. ## Academic and Professional Importance For students and professionals in STEM fields studying in Arabic or conducting research in Arabic-speaking regions, mastery of عمودي على and related geometric terminology is absolutely essential. These terms form the foundation of technical Arabic vocabulary and are used consistently across academic institutions, professional publications, and technical standards throughout the Arab world. Understanding not just the translation but the proper usage and grammatical agreement of عمودي على demonstrates a solid grasp of technical Arabic and the ability to communicate effectively in academic and professional settings.