Harvard Examination PapersGinn and Heath, 1880 - 412 pagine |
Dall'interno del libro
Risultati 1-5 di 49
Pagina 158
... c ) 2 . - - 2. State and prove the rule for the sign of a power and of a root . How do imaginary quantities arise ? 2 3. What is denoted by a ° ? by a - 3 ? by a ? 4. Reduce 1 - X x 1 to its simplest 158 EXAMINATION PAPERS .
... c ) 2 . - - 2. State and prove the rule for the sign of a power and of a root . How do imaginary quantities arise ? 2 3. What is denoted by a ° ? by a - 3 ? by a ? 4. Reduce 1 - X x 1 to its simplest 158 EXAMINATION PAPERS .
Pagina 159
... prove 6. There are seven numbers in Arithmetical Progression such that the sum of the 1st and 5th is 16 , and the product of the 4th and 7th is 160 . question admits two solutions . Find the numbers . ( This Both are required . ) Va b ...
... prove 6. There are seven numbers in Arithmetical Progression such that the sum of the 1st and 5th is 16 , and the product of the 4th and 7th is 160 . question admits two solutions . Find the numbers . ( This Both are required . ) Va b ...
Pagina 160
... Prove that the sum of any number of antecedents of a continued proportion is to the sum of the corresponding consequents as any one antecedent is to its consequent . 7. Find the greatest common divisor of 27x5 + 3x3 · 10x2 and 162x5 32x ...
... Prove that the sum of any number of antecedents of a continued proportion is to the sum of the corresponding consequents as any one antecedent is to its consequent . 7. Find the greatest common divisor of 27x5 + 3x3 · 10x2 and 162x5 32x ...
Pagina 161
... the answers imaginary ? How must a given number be divided in order that the product of its parts shall be as great as possible ? 8. State and prove the Rule of Three . PLANE GEOMETRY . I. 1. DEFINE a Surface , a ADVANCED ALGEBRA . 161.
... the answers imaginary ? How must a given number be divided in order that the product of its parts shall be as great as possible ? 8. State and prove the Rule of Three . PLANE GEOMETRY . I. 1. DEFINE a Surface , a ADVANCED ALGEBRA . 161.
Pagina 162
... Prove that if two angles of a triangle are equal , the sides opposite these angles are also equal . 3. How many degrees in each interior angle of a regular decagon ? State and prove the proposition which enables you to answer this ...
... Prove that if two angles of a triangle are equal , the sides opposite these angles are also equal . 3. How many degrees in each interior angle of a regular decagon ? State and prove the proposition which enables you to answer this ...
Parole e frasi comuni
Acatalectic accent adjectives angle answer Aorist atque Binomial Theorem Cæsar Candidates cent Cicero circle Compare construction cosine Crasis Dative decimal Decline Describe Dipody Divide Explain expression feet formulas fraction gender Genitive GEOMETRY Give a synopsis Give an example Give the principal Give the rules given Grammar Greatest Common Divisor Greek Herodotus Iambic Trimeter Iliad Infinitive Inflect Latin Least Common Least Common Multiple logarithms lowest terms marking the quantity mood Multiply Name nouns Optative OVID Participle Passive penult perpendicular plane plural polygons Prove quae quam quod Reduce rivers SALLUST Second Aorist sides simplest form sine Singular Solve the equation square Subjunctive syllables tangent tense Translate triangle verbs Vulgar Fraction Write ἂν γὰρ δὲ εἰ εἶναι ἐν ἐπὶ ἔφη καὶ μὲν μὴ οἱ ὅτι οὐ οὐκ τὰ τε τὴν τὸ τὸν τοῦ τοὺς τοῦτο τῷ τῶν ὡς
Brani popolari
Pagina 382 - Candidus insuetum miratur limen Olympi sub pedibusque videt nubes et sidera Daphnis. Ergo alacris silvas et cetera rura voluptas Panaque pastoresque tenet Dryadasque puellas.
Pagina 106 - Cato, qui fuit eius fere aequalis, numquam se minus otiosum esse, quam cum otiosus, nee minus solum, quam cum solus esset.
Pagina 206 - Qua re quis tandem me reprehendat, aut quis mihi jure suscenseat, si, quantum ceteris ad suas res obeundas, quantum ad festos dies ludorum celebrandos, quantum ad alias voluptates et ad ipsam requiem animi et corporis conceditur temporum, quantum alii tribuunt tem5 pestivis convivas, quantum denique alveolo, quantum pilae, tantum mihi egomet ad haec studia recolenda sumpsero?
Pagina 225 - Civitatibus maxima laus est, quam latissime circum se vastatis finibus solitudines habere. Hoc proprium virtutis existimant, expulsos agris finitimos cedere, neque quemquam prope audere consistere: simul hoc se fore tutiores arbitrantur, repentinae incursionis timore sublato.
Pagina 188 - If two forces acting perpendicularly at the extremities of the arms of any lever balance each other, they are inversely as the arms. Prop. 6. If two forces acting at any angles on the arms of any lever balance each other, they are inversely as the perpendiculars drawn from the fulcrum to the directions in which the forces act.
Pagina 226 - Quo dum Proserpina luco ludit, et aut violas aut Candida lilia carpit, dumque puellari studio calathosque sinumque implet, et aequales certat superare legendo, paene simul visa est dilectaque raptaque Diti : 395 usque adeo est properatus amor.
Pagina 170 - Any two rectangles are to each other as the products of their bases by their altitudes.
Pagina 171 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Pagina 301 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Pagina 173 - Theorem. If two spherical triangles on the same sphere, or on equal spheres, are equilateral with respect to each other, they are also equiangular with respect to each other.