Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
Dentro del libro
Resultados 1-5 de 28
Página 29
... diameter . 163. Each of the straight lines passes through the centre of the circle , as may be shewn in the manner of III . 1 : thus the straight lines intersect at a fixed point . 164. Let the circles cut each other at B and E. Through ...
... diameter . 163. Each of the straight lines passes through the centre of the circle , as may be shewn in the manner of III . 1 : thus the straight lines intersect at a fixed point . 164. Let the circles cut each other at B and E. Through ...
Página 30
... diameter , P and Q the extremities of the chord parallel to this diameter . From C draw CD perpendicular to PQ ; then PQ is bisected at D , by III . 3 . By Exercise 145 the squares on AP and AQ are equal to twice the squares on AD and ...
... diameter , P and Q the extremities of the chord parallel to this diameter . From C draw CD perpendicular to PQ ; then PQ is bisected at D , by III . 3 . By Exercise 145 the squares on AP and AQ are equal to twice the squares on AD and ...
Página 31
... diameter the straight line bisecting the angle always passes through the fixed point B. Produce BO to meet the circumference again at B ' . Then if P is on the other side of the fixed diameter , the straight line bisecting the angle ...
... diameter the straight line bisecting the angle always passes through the fixed point B. Produce BO to meet the circumference again at B ' . Then if P is on the other side of the fixed diameter , the straight line bisecting the angle ...
Página 32
... diameter . Draw AD at right angles to CA , and make it of the given length . Join CD cutting the circumference at B ; from B draw a straight line at right angles to CB and let it meet CA produced at E. Then EB will be the required ...
... diameter . Draw AD at right angles to CA , and make it of the given length . Join CD cutting the circumference at B ; from B draw a straight line at right angles to CB and let it meet CA produced at E. Then EB will be the required ...
Página 35
... diameter of a circle , C the centre . At any point D on the circumference let a tangent be drawn , meeting at E the tangent at A , and meeting at F the tangent at B. The area of the figure ABFE will be half that of a rectangle contained ...
... diameter of a circle , C the centre . At any point D on the circumference let a tangent be drawn , meeting at E the tangent at A , and meeting at F the tangent at B. The area of the figure ABFE will be half that of a rectangle contained ...
Otras ediciones - Ver todas
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 4 - CLIFFORD- THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Página 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.
Página 110 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.