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" From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 55
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 σελίδες
...1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION III. From the greater of two given straight lines to cut off a part equal to the less. Let and be the two given straight lines, of which is the greater. It is required to cut off from , the...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 σελίδες
...equal to the same magnitude are equal to one another. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. GIVEN that AB and CG are two straight lines, of which AB is the greater ; IT is REQUIRED TO CUT OFF...

Proceedings of the Edinburgh Mathematical Society, Τόμοι 5-6

Edinburgh Mathematical Society - 1887 - 316 σελίδες
...KL parallel to BA and meeting AE at L. AL is the straight line required. 8. From the greater of two given straight lines to cut off a part equal to the less, Euclid I. 3. See figures 11, 12, 13, 14, 15, 16. (a) Let the given straight lines AB and CD, of which...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...any straight line drawn from that point as radius. PROPOSITION 3. PROBLEM. From the greater of two given straight lines to cut off a part equal to the...less. Let AB and C be the two given straight lines, of which AB is the greater ; it is required to cut off from AB, the greater, a part equal to C, the...

A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - 1891 - 160 σελίδες
...From a given point to draw a straight line equal to a given straight line. 3. From the greater of two given straight lines to cut off a part equal to the less. 4. If two sides and the contained angle of one triangle be respectively equal to two sides and the...

Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 σελίδες
...From a given point to draw a straight line equal to a given straight line. 3. From the greater of two given straight lines to cut off a part equal to the less. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, and have...

The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 188 σελίδες
...greater according to the way in which the figure is drawn. Proposition 3. 71. From the greater of two given straight lines to cut off a part equal to the less. Let AB and CD be the two given straight lines, of which AB is greater than CD ; it is required to cut off from...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 486 σελίδες
...the given straight line. Is a solution always possible ? 2—2 PROPOSITION 3. From the greater of two given straight lines to cut off" a part equal to the less. Let AB and CD be the two given straight lines, of which AB is the greater : it is required to cut off from AB...

Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - 1893 - 352 σελίδες
...may be solved with much less complication, namely, R, + R2 + 3C,-l-C2 I. 3. From the greater of two given straight lines to cut off a part equal to the less. * See Mascheroni's Geometria del compasso (1795). t See Proceedings of the Edinburgh Mathematical Society,...

Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 708 σελίδες
...the given straight line. Is a solution always possible ? 2—2 PROPOSITION 3. From the greater of two given straight lines to cut off a part equal to the less. Let AB and CD be the two given straight lines, of which AB is the greater : it is required to cut off from AB...




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