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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. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 6
by Euclides - 1853
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...scientific chain is thereby broken ; and the system is of course incomplete. PROP. III. PROB. GEN. ENUN. — From the greater of two given straight lines to cut off a part equal to the less. PART. ENUN. — Let AB and c be the two gn. st. lines, of which AB fc is > c ; then it is required...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1847 - 340 pages
...given point A, a straight line AL has been drawn equal to the given straight line BC. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to the Let AB and C be the two given straight lines, whereof AB is the greater. It is required to cut off...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...PROBLEM. From a given point, to draw a straight line equal to a given straight line. PROP. III. PROBLEM. From the greater of two given straight lines, to cut off a part equal to the less. PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...line AL has been drawn equal to the given straight line BC. Which was to be done. PROP. III. PROB. From the greater of two given straight lines to cut...less. Let AB and c be the two given straight lines, whereof AK is the greater. It is required to cut off from AB, the greater, a part equal to C, the less....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...AL on B and C and remove one of them to A, and the other to L, and with a pen and ruler OF EUCLID. PEOP. III. PEOB. From the greater of two given straight...less. Let AB and C be the two given straight lines, whereof AB is the greater. It is required to cut off from AB, the greater, a part equal to C, the less....
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The London University Calendar

London univ - 1852 - 358 pages
...truths of Geometry, as a portion of human science, rest ultimately on the evidence of the senses ? 2. From the greater of two given straight lines to cut off a part equal to the less. 3. Show that if two triangles have two sides of the one equal to two sides of the other, each to each...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...AL has been drawn equal to the given straight line BC. Which wag to be done. PROPOSITION III. PBOB. From the greater of two given straight lines to cut...less. Let AB and C be the two given straight lines, whereof AB is the greater. It is required to cut off from AB, the greater, a part equal to C, the less....
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...AL has been drawn equal to the given straight line BC. Which was to be done. PROP. III. — PROBLEM. From the greater of two given straight lines to cut...less. Let AB and C be the two given straight lines, whereof AB is the greater. It is required to cut off from AB, the greater, a part equal to C, the less....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...been drawn equal to the given straight line b c. Which was to be done. PROPOSITION III. — PROBLEM, From the greater of two given straight lines to cut...less .. LET ab and c be the two given straight lines, whereof ab is the greater. It is required to cut off from ab, the greater, a part equal to c, the less....
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...finite straight line. Through a given point to draw a straight line parallel to a given straight line. From the greater of two given straight lines to cut off a part equal to the less. To bisect a given finite straight line. To divide a given finite stra,ght line into two parts, so that...
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