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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

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

John Playfair - 1833 - عدد الصفحات: 333
...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 interior and opposite angles ; anS- the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - عدد الصفحات: 513
...given ^-Y"**' 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...

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...; and conversely . 9 (o) The three angles of a triaugle are together equal to two right angles; and if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles . 14 (/>) In a right angled triaugle — 1. One of the angles, viz. the right angle, is equal to the...

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

John Playfair - 1835 - عدد الصفحات: 316
...CAI and EDF would be together equal to two right angles. PROP. XXV. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and...

The Element of Geometry

John Playfair - 1836 - عدد الصفحات: 114
...A, parallel to the given point BC. Which was to be done. PROP. V. 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 any of its sides BC be...

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

John Playfair - 1836 - عدد الصفحات: 471
...be done. x'i PROP. XXXII. THEOR. If a side of any trin iglc be produced, the exterior angle is e^ual to the two interior and 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - عدد الصفحات: 472
...are parallel to the same straight line are parallel to one another. XXXII. If a side of any triangle be produced, the exterior angle is equal to the two interior and op. posite angles ; and the three interior angles of every triangle are equal to two right angles....

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...point parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. 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. Steps of the Demonstration. 1. Prove that the altern....

Lessons on form; or, Introduction to geometry as given in a Pestalozzian ...

Charles Reiner - 1837
...exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the three exterior angles are, together, equal to...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - عدد الصفحات: 240
...A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite angles ; and vie three interior angles of every triangle are equal to two right angles. Let ABC he a triangle, and...




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