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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 school Euclid: comprising the first four books, by A.K. Isbister - Σελίδα 35
των Euclides - 1862
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University of Cambridge - 1849 - 560 σελίδες
...twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three...every triangle are together equal to two right angles. Can you give Legendre's method of demonstrating this proposition, which depends upon the necessary...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the...

The English Journal of Education, Τόμος 4

1850
...the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon...

A Collection of Problems and Examples, Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 σελίδες
...twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three...every triangle are together equal to two right angles. Can you give Legendre's method of demonstrating this proposition, which depends upon the necessary...

The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and...And the three interior angles of every triangle are equal to two riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.)...

Five Years in an English University, Τόμος 2

Charles Astor Bristed - 1852
...other, and likewise those which are terminated in the other. 2. If the sides of a triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...straight line BC. Which was to be done. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and...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 produced to D; the...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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 interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one...

The Assurance Magazine, and Journal of the Institute of Actuaries, Τόμος 3

1853
...triangle be produced (1) the exterior angle is equal to the two interior and remote angles, and (2) the three interior angles of every triangle are together equal to two right angles. 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that...

National Society's Monthly Paper

1855
...line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels ....




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