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" IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... "
Pennsylvania School Journal - 413. oldal
1878
Teljes nézet - Információ erről a könyvről

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 oldal
...' / PHD— I Z. AGH, which are**-3Wherefore, if a straight line, &c. PROP. XXVIII. THEOR. 29. iEu. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to...

Iron: An Illustrated Weekly Journal for Iron and Steel ..., 45. kötet

Perry Fairfax Nursey - 1846 - 650 oldal
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...makes the alternate angles equal to one another;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always have...

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

Euclid, John Playfair - 1846 - 334 oldal
...in this manner be freed from all difficulty. PROP. III. or 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior and opposite on the same side ; and likewise the two interior...

The Mechanic's Magazine, Museum, Register, Journal and Gazette, 45. kötet

1846 - 648 oldal
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 oldal
...be parallel. PROP. XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 oldal
...straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles; the...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 oldal
...intersecting two other straight lines, makes the alternate angles equal to each other, or makes an exterior angle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. intersects the two straight lines AB, / Let the straight...

Minutes ...: Correspondence, Financial Statements, Etc., and ..., 2. kötet

Great Britain. Committee on Education - 1850 - 942 oldal
...£20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and mean ratio. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1850 - 350 oldal
...to CD. (i. 27.) Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. If a straight lins fall upon two parallel straight lines, it makes the alternate angles equal to one another i and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two...

The Theory of Grammar

Samuel Griffith - 1850 - 704 oldal
...given rectilineal angle. 5. Define parallel straight lines; and prove that if a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another. 6. Divide a given finite straight line iulo two parts, so that the rectangle contained by the whole...




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