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" 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 ... - Σελίδα 106
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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Yale Examination Papers

Yale University - 1892 - 139 σελίδες
...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.-IV., Βιβλίο 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...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 - 1901
...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, Βιβλίο 1

Euclid, Rupert Deakin - 1903 - 164 σελίδες
...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, Βιβλίο 1

Euclid - 1904 - 456 σελίδες
...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 ..., Τόμος 71

1905
...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 - 1910 - 302 σελίδες
...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...

Calendar

University of St. Andrews - 1898
...longer on the way. Find the lengths of the roads. C. 14. Straight lines, which join the extremities of equal and parallel straight lines towards the same parts, are themselves equal and parallel. The straight lines, which join transversely the extremities of two equal and parallel straight lines,...

The London University Calendar

London univ - 1874
...angle is greater than either of the interior 1 opposite angles. 2. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. Prove this ; and explain the use of i lie words, " towards the...

Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893
...interior angles on the same side together equal to two right angles. 8. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, ai-e themselves also equal and parallel. 9. Parallelograms upon the same base, and between the same...




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