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" Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 29
por John Playfair - 1855 - 318 páginas
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...to two right angles. Wherefore, if a straight line, &c. QED PROPOSITION XXX. — THEOREM. Straiglit lines which are parallel to the same straight line are parallel to each other. LET ab, Сd be each of them parallel to ef ; ab is also parallel to Сd. Let the straight...
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The Popular Educator, Volumen5

1856
...the straight line в с is parallel to the straight line g. 30. AK. -v/ PBOPOSITION XXX— THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. In fig. 30, let the straight lines А в and с D be each of them parallel to в F. Then...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...sides of the one shall be equal to the angle contained bv the two sides equal to them of the other. 2. Straight lines which are parallel to the same straight line are parallel to each other. 3. If a straight line be bisected and produced to any point, the rectangle contained by...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...angles on the same side are together equal to two right angles. fT-'ii PROPOSITION XXX. THEOREM. ,^ Straight lines which are parallel to the same straight line are parallel to one another. Given that AB and CD are each of them parallel to EF ; to prove that AB is also parallel to CD. (Const.)...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...proposition. 3. If two straight lines cut one another, the vertical or opposite angles shall be equal. 4. Straight lines which are parallel to the same straight line are parallel to one another. 5. If a straight line be bisected and produced to any point the rectangle contained by the whole line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...equal to two right angles, (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel ta each other, Let the straight lines AB, CD, be each of them parallel to EF. Then shall AB be also...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...anglea (ax. 1.) Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 30.— THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. (References— Prop. I. 27, 29; ax. 1.) Hypothesis. — Let AB, CD, be each of them parallel to EF....
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Responsions

University of Oxford - 1863
...given point in a given straight line make a rectilineal angle equal to a given rectilineal angle. 5. Straight lines which are parallel to the same straight line are parallel to each other. 6. If a parallelogram and a triangle be on the same base and between the same parallels,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...equal to two right angles- (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other, Let the straight lines AB, CD, be each of them parallel to EF. Then shall AB be also parallel...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...equal to two right angles, (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let the straight lines AB, CD, be each of them parallel to EF. Then shall AB be also parallel...
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