Books Books THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 106
by Thomas Perronet Thompson - 1833 - 150 pages ## The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...of an equiangular polygon having n angles ? Proposition 33. 122. Two straight lines which join the extremities of two equal and parallel straight lines...parts are themselves equal and parallel. Let AB, CD represent two finite straight lines which are of equal lengths and parallel to each other, and let... ## Yale Examination Papers

Yale University - 1892 - 200 pages
...circumference can be made to pass, and but one. 1877. (EUCLID. ) 1. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal aud parallel. 2. To divide a given straight line into two parts, so that the... ## A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...many right angles as the figure has sides. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines...same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be joined towards the same parts by the... ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...2. Give Euclid's Axiom on parallel straight lines ; and show that the straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. Two quadrilaterals ABCD, EFGH, have the sides AB, DC respectively... ## Euclid, Book 1

Euclid, Rupert Deakin - Geometry - 1903 - 212 pages
...angles ACD and ADC double the angle CAD. PROP. 33. — Theorem. — The straight lines which Join the extremities of two equal and parallel straight lines,...same parts, are themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, and let them be joined towards the same parts- by... ## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...each angle of a regular polygon of n sides. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines...same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be joined towards the same parts by the... ## Annual Report of the Commissioners ..., Volume 71

1905 - 614 pages
...and have one of its angles equal to a given rectilineal angle. 5. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. SECTION B. 6. Find the length of the side of an isosceles triangle... ## The Ontario High School Geometry: Theoretical

Alexander H. McDougall - Geometry - 1910 - 316 pages
...from BA, CA respectively. Prove BE > CD. PARALLELOGRAMS THEOREM 19 Straight lines which join the ends of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Hypothesis. — AB, CD are = and ||. To prove that (1) AC = BD, (2) AC || BD. Construction. — Join... ## Special Reports on Educational Subjects, Volume 27

Great Britain. Board of Education - Education - 1912 - 372 pages
...vector to the mid point of the line so determined. 2. The straight lines joining the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. 3. The opposite sides of a parallelogram are equal and the diagonals bisect one another. The diagonals... 