Key to Exercises in EuclidMacmillan and Company, 1880 - 114 sider |
Inni boken
Resultat 1-5 av 43
Side 24
... rectangle AC.CB : then shall AC be equal to CB . For if AC be not equal to CB suppose AC the greater , and construct the diagram of II . 4 ; on CA take CX equal to CB , draw through X a straight line parallel to AD , meeting HG at Y and ...
... rectangle AC.CB : then shall AC be equal to CB . For if AC be not equal to CB suppose AC the greater , and construct the diagram of II . 4 ; on CA take CX equal to CB , draw through X a straight line parallel to AD , meeting HG at Y and ...
Side 25
... rectangle AD , DB is equal to the difference of the squares on CD and CB . Thus the required rectangle is found . 137. By II . 9 the sum of the squares on the two parts is always greater than double the square on half the straight line ...
... rectangle AD , DB is equal to the difference of the squares on CD and CB . Thus the required rectangle is found . 137. By II . 9 the sum of the squares on the two parts is always greater than double the square on half the straight line ...
Side 26
... rectangle AB , BH is equal to the square on AH . Therefore the rectangle AH , HB together with the square on BH is equal to the square on AH . Thus the rectangle AH , HB is equal to the difference of the squares on AH and BH , that is ...
... rectangle AB , BH is equal to the square on AH . Therefore the rectangle AH , HB together with the square on BH is equal to the square on AH . Thus the rectangle AH , HB is equal to the difference of the squares on AH and BH , that is ...
Side 27
... rectangle AD , DB . Suppose D to fall between A and O. The square on AC is equal to the squares on 40 , OC by I. 47 ; and similarly the square on DC is equal to the squares on DO , OC . Hence the square on AC exceeds the square on DC by ...
... rectangle AD , DB . Suppose D to fall between A and O. The square on AC is equal to the squares on 40 , OC by I. 47 ; and similarly the square on DC is equal to the squares on DO , OC . Hence the square on AC exceeds the square on DC by ...
Side 24
... rectangle AC.CB : then shall AC be equal to CB . For if AC be not equal to CB suppose AC the greater ,, and construct the diagram of II . 4 ; on CA take CX equal to CB , draw through X a straight line parallel to AD , meeting HG at Y ...
... rectangle AC.CB : then shall AC be equal to CB . For if AC be not equal to CB suppose AC the greater ,, and construct the diagram of II . 4 ; on CA take CX equal to CB , draw through X a straight line parallel to AD , meeting HG at Y ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
ABCD AC and BD AC is equal angle ABC angle ACB angle BAC angle CAB bisects the angle Cambridge centre chord circle described circumference Crown 8vo describe a circle diameter draw a straight Edition equal to BC equal to four equal to half equal to twice equiangular Euclid Exercise 176 Extra fcap fcap fore given circle given point given straight line greater half a right half the angle Hence Let ABC meeting BC middle point Owens College parallel to BC parallelogram perpendicular plane Professor quadrilateral radius equal rectangle rhombus right angles segment shewn side BC square on BC straight line parallel suppose tangent touch the circle triangle ABC twice the angle twice the rectangle twice the squares
Populære avsnitt
Side 41 - TAYLOR— WORDS AND PLACES; or, Etymological Illustrations of History, Ethnology, and Geography. By the Rev. ISAAC TAYLOR, MA Third and cheaper Edition, revised and compressed. With Maps. Globe 8vo. 6s.
Side 16 - PHYSICS. LESSONS IN ELEMENTARY PHYSICS. By BALFOUR STEWART, FRS, Professor of Natural Philosophy in Owens College, Manchester. With numerous Illustrations and Chromolitho of the Spectra of the Sun, Stars, and Nebulae. New Edition. Fcap. 8vo. 4*. 6d. "The beau-ideal of a scientific text-book, clear, accurate, and thorough.
Side 15 - Owens College, Manchester. With numerous Illustrations and Chromo-Litho of the Solar Spectrum, and of the Alkalies and Alkaline Earths. New Edition. Fcap. 8vo. 4*. 6d. " As a standard general text-book it deserves to take a leading place."— SPECTATOR. " We unhesitatingly pronounce it the best of all our elementary treatises on Chemistry,"— MEDICAL TIMSs.
Side 2 - Astronomer Royal :— ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. Second Edition. Crown 8vo. f,s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Side 1 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Side 13 - SCIENCE. SCIENCE PRIMERS FOR ELEMENTARY SCHOOLS. Under the joint Editorship of Professors HUXLEY, ROSCOE, and BALFOUR STEWART. "These Primers are extremely simple and attractive, and thoroughly answer their purpose of just leading the young beginner up to the threshold of the long avenues in the Palace of Nature which these titles suggest.
Side 40 - VI. Crown 8vo. (430 pp.) 2s. Book VI. is fitted for higher Classes, and as an Introduction to English Literature. "They are far above any others that have appeared both in form and substance. . . . The editor of the present series has rightly seen that reading books must ' aim chiefly at giving to the pupils the power pi accurate, and, if possible, apt and skilful expression ; at cultivating in them a good literary taste, and at arousing a desire of further reading, This is done by taking care to...
Side 4 - CLIFFORD- THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Side 19 - Flower (WH) — AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.
Side 110 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.