The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 51
... adjacent and C E B. SAEC Consequently , the SA EC and C E B are together equal to two rights . ( Prop . XIII . ) But quantities that are equal to the same are equal to each other . Therefore , the sum of the equal to the sum of the SA ...
... adjacent and C E B. SAEC Consequently , the SA EC and C E B are together equal to two rights . ( Prop . XIII . ) But quantities that are equal to the same are equal to each other . Therefore , the sum of the equal to the sum of the SA ...
Σελίδα 52
... adjacent to the CBD ) , is less than the exterior CB D. We must first take the ACB , which is opposite to the side A B which has been produ • In order to compare it with the CBD , make the following construction : - Bisect the line CB ...
... adjacent to the CBD ) , is less than the exterior CB D. We must first take the ACB , which is opposite to the side A B which has been produ • In order to compare it with the CBD , make the following construction : - Bisect the line CB ...
Σελίδα 55
... adjacent s which it forms with it are to- gether equal to two rights . ( Prop . XIII . ) 3. That if the same quantity be added to each of two unequal quantities , the sum of that quantity A and the larger of the two unequals is greater ...
... adjacent s which it forms with it are to- gether equal to two rights . ( Prop . XIII . ) 3. That if the same quantity be added to each of two unequal quantities , the sum of that quantity A and the larger of the two unequals is greater ...
Σελίδα 56
... adjacent to one or other of SCAB and CBA . As , for example , pro- duce the side A B to the point D. the two It follows from the last proposition that the CBD is greater than the CAB . If the CBA be added to each of these unequals , the ...
... adjacent to one or other of SCAB and CBA . As , for example , pro- duce the side A B to the point D. the two It follows from the last proposition that the CBD is greater than the CAB . If the CBA be added to each of these unequals , the ...
Σελίδα 87
... adjacent s so formed are together equal to two rights . ( Prop . XIII . ) 2. That things that are equal to the same are equal to one another . ( Ax . I. ) 3. That if the same quantity be taken from two equal quantities the remainders ...
... adjacent s so formed are together equal to two rights . ( Prop . XIII . ) 2. That things that are equal to the same are equal to one another . ( Ax . I. ) 3. That if the same quantity be taken from two equal quantities the remainders ...
Άλλες εκδόσεις - Προβολή όλων
The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
Δημοφιλή αποσπάσματα
Σελίδα 13 - CARPENTER'S (Dr. WB) Zoology. A Systematic View of the Structure, Habits, Instincts, and Uses of the principal Families of the Animal Kingdom, and of the chief Forms of Fossil Remains. Revised by WS Dallas, FLS Numerous Woodcuts. 2 vols. 6s. each. — Mechanical Philosophy, Astronomy, and Horology. A Popular Exposition. 181 Woodcuts. CARPENTER'S Works.— Continued. — Vegetable Physiology and Systematic Botany.
Σελίδα 12 - DONALDSON'S The Theatre of the Greeks. A Treatise on the History and Exhibition of the Greek Drama. With numerous Illustrations and 3 Plans. By John William Donaldson, DD 5*. DRAPER'S History of the Intellectual Development of Europe.
Σελίδα 144 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 149 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC...
Σελίδα 7 - Second French Book ; being a Grammar and Exercise Book, on a new and practical plan, and intended as a sequel to the
Σελίδα 152 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 12 - Social advancement is as completely under the control of natural law as is bodily growth. The life of an individual is a miniature of the life of a nation.
Σελίδα 6 - The Enunciations and Figures belonging to the Propositions in the First Six and part of the Eleventh Books of Euclid's Elements, (usually read in the Universities,) prepared for Students in Geometry. By the Rev. J. Brasse, DD New Edition. Fcap. 8vo. Is. On cards, iu case, 5s.
Σελίδα 11 - Long. 5 vols. 8vo. 14s. each. A History of England during the Early and Middle Ages. By CH Pearson, MA 2nd Edition revised and enlarged.
Σελίδα 16 - Dr. Richardson's Philological Dictionary of the ENGLISH LANGUAGE. Combining Explanation with Etymology, and copiously illustrated by Quotations from the Best Authorities. New Edition, with a Supplement containing additional Words and further Illustrations. In 2 vols. 4to.