## Elementary geometry |

### Inni boken

Resultat 6-10 av 39

Side 76

These conditions among the data for the possibility or impossibility of a solution

should always be found . The principle of the intersection of loci may be thus

stated : If A is the

point ...

These conditions among the data for the possibility or impossibility of a solution

should always be found . The principle of the intersection of loci may be thus

stated : If A is the

**locus**of a point satisfying the condition X , and B the**locus**of apoint ...

Side 97

Find the

the sides of a triangle are 3 , 4 , 5 inches respectively , the triangle is right -

angled . 5 . Of all triangles having the same vertical angle , and whose bases

pass ...

Find the

**locus**of the vertices of triangles of equal area upon the same base . 4 . Ifthe sides of a triangle are 3 , 4 , 5 inches respectively , the triangle is right -

angled . 5 . Of all triangles having the same vertical angle , and whose bases

pass ...

Side 106

Find the

distances from two given points is constant . We subjoin a few problems and

theorems as miscellaneous exercises in the Geometry of angles , lines , triangles

...

Find the

**locus**of a point which moves so that the sum of the squares of itsdistances from two given points is constant . We subjoin a few problems and

theorems as miscellaneous exercises in the Geometry of angles , lines , triangles

...

Side 108

22 . BCD . . . are points on the circumference of a circle , A any point not the

centre of the circle . Shew that of the lines AB , AC , AD . . . not more than two can

be equal . . 23 . Find the

.

22 . BCD . . . are points on the circumference of a circle , A any point not the

centre of the circle . Shew that of the lines AB , AC , AD . . . not more than two can

be equal . . 23 . Find the

**locus**of a point , such 108 , ELEMENTARY GEOMETRY.

Side 109

Find the

two given points is equal to the square on the distance between the two points .

24 . If m and n are any numbers , and lines be taken whose lengths are ma + no ...

Find the

**locus**of a point , such that the sum of the squares on its distances fromtwo given points is equal to the square on the distance between the two points .

24 . If m and n are any numbers , and lines be taken whose lengths are ma + no ...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Vanlige uttrykk og setninger

ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given line given point given straight line greater half Hence Illustrations inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

### Populære avsnitt

Side 183 - MORTE D'ARTHUR. Sir Thomas Malory's Book of King Arthur, and of his Noble Knights of the Round Table. The Edition of Caxton, revised for Modern Use. With an Introduction, Notes, and Glossary, by Sir EDWARD STRACHEY. *' It is with perfect confidence that we recommend this edition of the old romance to every class of readers.

Side 171 - 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 170 - 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 of accurate, and, if possible, apt and skilful expression ; at cultivating in them ^a good literary taste, and at arousing a desire of further reading.

Side 140 - ROBY— A GRAMMAR OF THE LATIN LANGUAGE, from Plautus to Suetonius. By HJ ROBY, MA, late Fellow of St. John's College, Cambridge. In Two Parts. Third Edition. Part I. containing : — Book I. Sounds. Book II. Inflexions. Book III. Word-formation. Appendices. Crown 8vo.

Side 159 - 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 181 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.

Side 171 - Sonnenschein and Meiklejohn. — THE ENGLISH METHOD OF TEACHING TO READ. By A. SONNENSCHEIN and JMD MEIKLEJOHN, MA Fcap. 8vo. COMPRISING : THE NURSERY BOOK, containing all the Two-Letter Words in the Language, id. (Also in Large Type on Sheets for School Walls. 5*.) THE FIRST COURSE, consisting of Short Vowels with Single Consonants.

Side 143 - MATHEMATICS. AIRY — Works by Sir GB AIRY, KCB, Astronomer Royal : — ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams.

Side 146 - CHRISTIE— A COLLECTION OF ELEMENTARY TESTQUESTIONS IN PURE AND MIXED MATHEMATICS; with Answers and Appendices on Synthetic Division, and on the Solution of Numerical Equations by Homer's Method. By JAMES R. CHRISTIE, FRS, Royal Military Academy, Woolwich. Crown 8vo. 8s. 6d. CLIFFORD— THE ELEMENTS OF DYNAMIC.

Side 148 - GODFRAY — Works by HUGH GODFRAY, MA, Mathematical Lecturer at Pembroke College, Cambridge. A TREATISE ON ASTRONOMY, for the Use of Colleges and Schools. New Edition.