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" IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. "
The Teaching of Geometry - الصفحة 182
بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339
عرض كامل - لمحة عن هذا الكتاب

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - عدد الصفحات: 390
...is described by either extremity of the base.* BOOK I. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles....

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - عدد الصفحات: 351
...to the given straight line BC. Which was to he done. . PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - عدد الصفحات: 317
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...point A parallel to the given straight line в c. QEF PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides, вc...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - عدد الصفحات: 199
...given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. — If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - 1845 - عدد الصفحات: 358
...which is described by eitner extremity of the base.* BOOK I. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles....

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any side of a triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

The Elements of Geometry, Symbolically Arranged

1846
...been drawn through A || BC. EF || BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a ^, and the side BC be prod, to...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - عدد الصفحات: 317
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC he...




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