 | Cambridge univ, exam. papers - 1856 - 200 pages
...proportionals; and those which are opposite to the equal angles are homologous sides. FIRST DIVISION (B.) 1. FROM the greater of two given straight lines to cut off a part equal to the less. 2. The angles which one straight line makes with another, on the same side of it, are either two right... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...the given straight line BC. PROP. III. PROB. From the greater of two given straight lines to cut oj, a part equal to the 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.... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...between an axiom and a postulate ; and define a right angle, a rhombus, and parallel straight lines. 2. From the greater of two given straight lines to cut off a part equal to the less. Quote any axioms or postulates used in the proposition. 3. If two straight lines cut one another, the... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROBLEM. From the greater of two given straight lines to cut off apart equal to the lea3. Let AB and Cbe the two given straight lines, of which AB is the greater. It is required to cut off fromAB the greater, a part equal to C, the less. From the point A draw the straight line AD equal to... | |
 | Euclides - 1860 - 288 pages
...is equal point A a straight has been drawn equal to the given straight line PROPOSITION m. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Given, AB and C two straight lines, whereof AB is the greater. It it required to cut off from AB, the... | |
 | Euclides - 1862 - 140 pages
...to cat of apart equal to the less. (References— Prop. I. 2; post. 3; ax. 1; def. 15.) Given. — Let AB and C be the two given straight lines, of which AB is the greater. Sought. — It is required to cut off from AB, the greater, a part equal to C, the less. Construction.—... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...Define — a superficies, a diameter of a circle, an obtuse-angled triangle, an oblong, a diagonal. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. On the same base, and on the same side of it, there cannot be two triangles having their sides which... | |
 | Euclides - 1864 - 448 pages
...has been drawn equal to the given straight line BC, Which was to be done. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB and Cbe the two given straight lines, of which AB is the greater. It is required to cut oS&omAB the greater,... | |
 | Euclides - 1865 - 80 pages
...the same thing are equal (Ax. 1) to one another, therefore AE is equal to BC. PROPOSITION II. PROB. From the greater of two given straight lines to cut...which AB is the greater, it is required to cut off a part from AB equal to C the less. From A as a centre, with a radiant equal to C, describe (Post.... | |
 | Robert Potts - 1865 - 528 pages
...has been drawn equal to the given straight line BC. Which was to be done. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the lese. Let AB and C be the two given straight lines, of which AB is the greater. It is required to cut... | |
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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. 
